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Structure and Infrastructure Engineering
Maintenance, Management, Life-Cycle Design and Performance
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Original Articles

A review of multi-criteria decision-making methods for infrastructure management

, &
Pages 1176-1210 | Received 09 Dec 2012, Accepted 27 Mar 2013, Published online: 29 May 2013

REFERENCES

  • Abrishamchi, A., Ebrahimian, A., Tajrishi, M., & Marino, M.A. (2005). Case study: Application of multicriteria decision making to urban water supply. Journal of Water Resources Planning and Management, 131(4), 326–335.
  • Abu-Taleb, M.F., & Mareschal, B. (1995). Water resources planning in the middle East: Application of the PROMETHEE V multicriteria method. European Journal of Operational Research, 81(3), 500–511.
  • Afshar, A., Marino, M.A., Saadatpour, M., & Afshar, A. (2011). Fuzzy TOPSIS multicriteria decision analysis applied to Karun reservoirs system. Water Resources Management, 25(2), 545–563.
  • Aghdaie, M.H., Zolfani, S.H., & Zavadskas, E.K. (2012). Prioritizing constructing projects of municipalities based on AHP and COPRAS-G: A case study about footbridges in Iran. The Baltic Journal of Road and Bridge Engineering, VII(2), 145–153.
  • Ahlawat, A.S., & Ramaswamy, A. (2001). Multiobjective optimal structural vibration control using fuzzy logic control system. Journal of Structural Engineering, 127(11), 1330–1337.
  • Al-Barqawi, H., & Zayed, T. (2006). Assessment model of water main conditions. Conference proceedings on pipeline division specialty. Chicago, USA.
  • Al-Barqawi, H., & Zayed, T. (2008). Infrastructure management: Integrated AHP/ANN model to evaluate municipal water mains performance. Journal of Infrastructure Systems, 14(4), 305–318.
  • Ali, N.B.H., Sellami, M., Cutting-Decelle, A.F., & Mangin, J.C. (2009). Multi-stage production cost optimization of semi-rigid steel frames using genetic algorithms. Engineering Structures, 31(11), 2766–2778.
  • Al-Kloub, B., & Abu-Taleb, M.F. (1988). Application of multicriteria decision aid to rank the Jordan–Yarmouk basin co-riparians according to the Helsinki and ILC rules. Water International, 23(3), 164–173.
  • Al-Kloub, B., Al-Shemmeri, T., & Pearman, A. (1997). The role of weights in multi-criteria decision aid, and the ranking of water projects in Jordan. European Journal of Operational Research, 99(2), 278–288.
  • Al-Rashdan, D., Al-Kloub, B., Dean, A., & Al-Shemmeri, T. (1999). Environmental impact assessment and ranking the environmental projects in Jordan. European Journal of Operational Research, 118(1), 30–45.
  • Al-Shemmeri, T., Al-Kloub, B., & Pearman, A. (1997). Model choice in multicriteria decision aid. European Journal of Operational Research, 97(3), 550–560.
  • Al-Zubi, Y.A., & Al-Kharabsheh, A. (2003). Multicriteria analysis for water productivity in the Jordan valley. Water International, 28(4), 501–511.
  • Al-Zubi, Y., Shatanawi, M., Al-Jayoussi, O., & Al-Kharabsheh, A. (2002). Application of decision support system for sustainable management of water resources in the Azraq basin-Jordan. Water International, 27(4), 532–541.
  • Anagnostopoulos, K.P., Gratziou, M., & Vavatsikos, A.P. (2007). Using the fuzzy hierarchy process for selecting wastewater facilities at prefecture level. European Water, 19(20), 15–24.
  • Anagnostopoulos, K.P., Petalas, C., & Pisinaras, V. (2005). Water resources planning using the AHP and PROMETHEE multi criteria methods: The case of NESTOS River-GREECE. Proceedings of 7th Balkan conference on operational research (BACOR). Constanta, Romania.
  • Anand Raj, P.A. (1995). Multicriteria methods in river basin planning – A case study. Water Science & Technology, 31(8), 261–272.
  • Anand Raj, P.A., & Kumar, D.N. (1996). Ranking of river basin alternatives using ELECTRE. Hydrological Sciences, 41(5), 697–713.
  • Anton, J.M., & Grau, J.B. (2004). Madrid-Valencia high-speed rail line: A route selection, Proceedings of the Institution of Civil Engineers. Transport, 157(3), 153–161.
  • Antucheviciene, J., & Zavadskas, E.K. (2003). The indicator model for sustainable revitalisation of rural property. Environmental Research, Engineering and Management, 26(4), 38–44.
  • Antucheviciene, J., & Zavadskas, E.K. (2008). Modelling multidimensional redevelopment of derelict buildings. International Journal of Environment and Pollution, 35(2/3/4), 331–344.
  • Antucheviciene, J., Zavadskas, E.K., & Zakarevicius, A. (2010). Multiple criteria construction management decisions considering relations between criteria. Technological and Economic Development of Economy, 16(1), 109–125.
  • Aragones-Beltran, P., Mendoza-Roca, J.A., Bes-Pia, A., Garcia-Melon, M., & Parra-Ruiz, E. (2009). Application of multicriteria decision analysis to jar-test results for chemicals selection in the physical–chemical treatment of textile wastewater. Journal of Hazardous Materials, 164(1), 288–295.
  • Ares, J., & Serra, J. (2008). Selection of sustainable projects for floodplain restoration and urban wastewater management at the lower Chubut River valley (Argentina). Landscape and Urban Planning, 85(3–4), 215–227.
  • ASCE (2009). Report card for America's infrastructure, 2009 progress report. http://www.asce.org/reportcard.
  • Augusti, G., Ciampoli, M., & Frangopol, D.M. (1998). Optimal planning of retrofitting interventions on bridges in a highway network. Engineering Structures, 20(11), 933–939.
  • Awasthi, A., Chauhan, S.S., & Omrani, H. (2011). Application of fuzzy TOPSIS in evaluating sustainable transportation systems. Expert Systems with Applications, 38(10), 12270–12280.
  • Awasthi, A., & Omrani, H. (2009). A hybrid approach based on AHP and belief theory for evaluating sustainable transportation solutions. International Journal of Global Environmental Issues, 9(3), 212–226.
  • Azis, I.J. (1990). Analytic hierarchy process in benefit-cost framework: A post evaluation of the Trans-Sumatra highway project. European Journal of Operational Research, 48(1), 38–48.
  • Balali, V., Zahraie, B., Hosseini, A., & Roozbahani, A. (2010). Selecting the appropriate structural system by application of PROMETHEE decision making method. Proceedings of 2nd IEE international conference on system engineering and application, Sharjah, UAE, 1–6.
  • Balali, V., Zahraie, B., & Roozbahani, A. (2012). Integration of ELECTRE III and PROMETHEEII decision making methods with interval approach: Application in selection of appropriate structural systems. Journal of Computing in Civil Engineering, Advance online publication. doi: https://doi.org/10.1061/(ASCE)CP.1943-5487.0000254.
  • Banai, R. (2006). Public transportation decision-making: A case analysis of the Memphis light rail corridor and route selection with analytic hierarchy process. Journal of Public Transportation, 9(2), 1–24.
  • Banias, G., Achillas, C., Vlachokostas, C., Moussiopoulos, N., & Tarsenis, S. (2010). Assessing multiple criteria for the optimal location of a construction and demolition waste management facility. Building and Environment, 45(10), 2317–2326.
  • Bardossy, A., Bogardi, I., & Duckstein, L. (1985). Composite programming as an extension of compromise programming. Mathematics of Multi Objective Optimization (pp. 375–408). Wien: Springer Verlag.
  • Bella, A., Duckstein, L., & Szidarovszky, F. (1996). A multicriterion analysis of the water allocation conflict in the Upper Rio Grande basin. Applied Mathematics and Computation, 77(2–3), 245–265.
  • Bellehumeur, C., Vasseur, L., Ansseau, C., & Marcos, B. (1997). Implementation of a multicriteria sewage sludge management model in the Southern Québec Municipality of Lac-Mégantic, Canada. Journal of Environmental Management, 50(1), 51–66.
  • Benayoun, R., Roy, B., & Sussman, N. (1966). Manual de Reference du programme electre, Mote de Synthese et Formaton, No. 25, Direction Scientifique SEMA, Paris, France.
  • Bender, M.J., & Simonovic, S.P. (1997). Consensus as the measure of sustainability. Hydrological Sciences, 42(4), 493–500.
  • Bender, M.J., & Simonovic, S.P. (2000). A fuzzy compromise approach to water resource systems planning under uncertainty. Fuzzy Sets and Systems, 115(1), 35–44.
  • Benzerra, A., Cherrared, M., Chocat, B., Cherqui, F., & Zekiouk, T. (2012). Decision support for sustainable urban drainage system management: A case study of Jijel, Algeria. Journal of Environmental Management, 101(30), 46–53.
  • Bobylev, N. (2007). Sustainability and vulnerability analysis of critical underground infrastructure. In I.Linkov, R.J.Wenning & G.A.Kiker (Eds.), Managing critical infrastructure risks: Decision tools and applications for port security (pp. 445–469). Venice, Italy: Springer.
  • Bocchini, P., & Frangopol, D.M. (2011). A probabilistic computational framework for bridge network optimal maintenance scheduling. Reliability Engineering & System Safety, 96(2), 332–349.
  • Bocchini, P., & Frangopol, D.M. (2012). Optimal resilience- and cost-based post-disaster intervention prioritization for bridges along a highway segment. Journal of Bridge Engineering, 17(1), 117–129.
  • Boix, M., Montastruc, L., Pibouleau, L., Azzaro-Pantel, C., & Domenech, S. (2011). A multiobjective optimization framework for multi contaminant industrial water network design. Journal of Environmental Management, 92(7), 1802–1808.
  • Bolar, A., Tesfamariam, S., & Sadiq, R. (2013). Condition assessment for bridges: A hierarchical evidential reasoning (HER) framework. Structure and Infrastructure Engineering, 9(7), 648–666.
  • Bottero, M., Comino, E., & Riggio, V. (2011). Application of the analytic hierarchy process and the analytic network process for the assessment of different wastewater treatment systems. Environmental Modelling and Software, 26(10), 1211–1224.
  • Bouchard, C., Abi-Zeid, I., Beauchamp, N., Lamontagne, L., Desrosiers, J., & Rodriguez, M. (2010). Multicriteria decision analysis for the selection of a small drinking water treatment system. Journal of Water Supply: Research and Technology, 59(4), 230–242.
  • Brans, J.P. (1982). Lingenierie de la decision. Elaboration dinstruments daide a la decision. Methode PROMETHEE. Laide a la Decision: Nature, Instruments et Perspectives Davenir (pp. 183–214). Quebec, Canada: Presses de Universite Laval.
  • Brans, J.P., & Mareschal, B. (1992). PROMETHEE V-MCDM problems with segmentation constraints. INFOR, 30(2), 85–96.
  • Brans, J.P., & Mareschal, B. (1995). The PROMETHEE VI procedure. How to differentiate hard from soft multicriteria problems. Journal of Decision Systems, 4(3), 213–223.
  • Brans, J.P., & Vincke, P. (1985). A preference ranking organization method (The PROMETHEE method for multiple criteria decision making). Management Science, 31(6), 647–656.
  • Bridgman, P.W. (1922). Dimensional analysis. New Haven, CT: Yale University Press.
  • Brito, A.J., Almeida, A.T., & Mota, C.M.M. (2010). A multicriteria model for risk sorting of natural gas pipelines based on ELECTRE TRI integrating utility theory. European Journal of Operational Research, 200(3), 812–821.
  • Brown, B., Neil-Adger, W., Tompkins, E., Bacon, P., Shim, D., & Young, K. (2001). Trade-off analysis for marine protected area management. Ecological Economics, 37(3), 417–434.
  • Brownlee, T.J., Finnie, S., & Wightman, D. (2007). Identification of potential highways maintenance schemes. Proceedings of the ICE-Transport, 160(3), 139–146.
  • Brunner, I.M., Kim, K., & Yamashita, E. (2012). Identifying optimal transit alignments using analytic hierarchy process and geographic information systems. TRB annual meeting. Washington, DC.
  • Bucher, C., & Frangopol, D.M. (2006). Optimization of lifetime maintenance strategies for deteriorating structures considering probabilities of violating safety, condition, and cost thresholds. Probabilistic Engineering Mechanics, 21(1), 1–8.
  • Cafiso, S., Graziano, A.D., Kerali, H.R., & Odoki, J.B. (2002). Multicriteria analysis method for pavement maintenance management. Transportation Research Record, 1816, 73–86.
  • Cagno, E., Caron, F., Mancini, M., & Ruggeri, F. (2000). Using AHP in determining the prior distributions on gas pipeline failures in a robust Bayesian approach. Reliability Engineering and System Safety, 67(3), 275–284.
  • Cai, X., Lasdon, L., & Michelsen, A.M. (2004). Group decision making in water resources planning using multiple objective analysis. Journal of Water Resources Planning and Management, 130(1), 4–14.
  • Caiko, J., Kunicina, N., Patlins, A., Pelnikis, A., & Ribickis, L. (2008). Development of decision-making procedure of choice of the equipment for railway crossing at stations. Proceedings of the 12th international conference on transport means (pp. 151–154). Kaunass, Lithuania.
  • Calizaya, A., Meixner, O., Bengtsson, L., & Berndtsson, R. (2010). Multi-criteria decision analysis (MCDA) for integrated water resources management (IWRM) in the Lake Poopo Basin, Bolivia. Water Resources Management, 24(10), 2267–2289.
  • Canadian Infrastructure Report Card (2012). http://www.canadainfrastructure.ca/en/report.
  • Carriço, N., Covas, D.I.C., Almeida, C.M., Leitao, J.P., & Alegre, H. (2012). Prioritization of rehabilitation interventions for urban water assets using multiple criteria decision-aid methods. Water Science & Technology, 66(5), 1007–1014.
  • Caterino, N., Iervolino, I., Manfredi, G., & Cosenza, E. (2006). Multi-criteria decision making for seismic retrofitting of an underdesigned RC structure. Proceedings of first European conference on earthquake engineering and seismology. Geneva, Switzerland.
  • Caterino, N., Iervolino, I., Manfredi, G., & Cosenza, E. (2008). Multi-criteria decision making for seismic retrofitting of RC structures. Journal of Earthquake Engineering, 12(4), 555–583.
  • Caterino, N., Iervolino, I., Manfredi, G., & Cosenza, E. (2009). Comparative analysis of multi-criteria decision-making methods for seismic structural retrofitting. Computer-Aided Civil and Infrastructure Engineering, 24(6), 432–445.
  • Chang, C.L., Chiueh, P.T., & Liou, Y.T. (2008). Applying VIKOR to determine the land-use restraint strategies in a watershed. Environmental Engineering Science, 25(9), 1317–1323.
  • Chang, Y.H., & Yeh, C.H. (2001). Evaluating airline competitiveness using multiattribute decision making. Omega, 29(5), 405–415.
  • Cheng, C.T., Zhao, M.Y., Chau, K.W., & Wu, X.Y. (2006). Using genetic algorithm and TOPSIS for Xinanjiang model calibration with a single procedure. Journal of Hydrology, 316(1–4), 129–140.
  • Chen, S.J., & Hwang, C.L. (1992). Fuzzy multiple attribute decision making, methods and application. Berlin: Springer-Verlag.
  • Cheng, S., Chan, C.W., & Huang, G.H. (2002). Using multiple criteria decision analysis for supporting decision of solid waste management. Journal of Environmental Science and Health, 37(6), 975–990.
  • Choi, D.J., & Park, H. (2001). Analysis of water privatization scenarios in Korea with multi-criteria decision-making techniques. Journal of Water Supply Research and Technology – Aqua, 50(6), 335–352.
  • Chou, S.Y., Chang, Y.H., & Shen, C.Y. (2008). A fuzzy simple additive weighting system under group decision-making for facility location selection with objective/subjective attributes. European Journal of Operational Research, 189(1), 132–145.
  • Chou, T.Y., Lin, W.T., Lin, C.Y., & Chou, W.C. (2007). Application of fuzzy theory and PROMETHEE technique to evaluate suitable ecotechnology method: A case study in Shihmen Reservoir Watershed, Taiwan. Ecological Engineering, 31(4), 269–280.
  • Chung, E.S., & Lee, K.S. (2009). Prioritization of water management for sustainability using hydrologic simulation model and multicriteria decision making techniques. Journal of Environmental Management, 90(3), 1502–1511.
  • Coutinho-Rodrigues, J., Simao, A., & Antunes, C.H. (2011). A GIS-based multicriteria spatial decision support system for planning urban infrastructures. Decision Support Systems, 51(3), 720–726.
  • Dabous, S.A., & Alkass, S. (2010). A multi-attribute ranking method for bridge management. Engineering, Construction and Architectural Management, 17(3), 282–291.
  • Dai, J., Qi, J., Chi, J., Chen, S., Yang, J., Ju, L., & Chen, B. (2010). Integrated water resource security evaluation of Beijing based on GRA and TOPSIS. Frontiers of Earth Science in China, 4(3), 357–362.
  • Dawotola, A.W., van Gelder, P.H.A.J.M., & Vrijling, J.K. (2009). Risk assessment of petroleum pipelines using a combined analytical hierarchy process – Fault tree analysis (AHP-FTA). Proceedings of the 7th international probabilistic workshop. Delft, Netherlands.
  • Delgado-Galvan, X., Perez-Garcia, R., Izquierdo, J., & Mora-Rodriguez, J. (2010). An analytic hierarchy process for assessing externalities in water leakage management. Mathematical and Computer Modelling, 52(7–8), 1194–1202.
  • Deng, J., Li, J., & Fang, X. (2011). Condition evaluation of existing long-span bridges using fuzzy based analytic hierarchy process. Advanced Materials Research, 163-167, 3328–3331.
  • Diaz-Balteiro, L., & Romero, C. (2008). Making forestry decisions with multiple criteria: A review and an assessment. Forest Ecology and Management, 255(8–9), 3222–3241.
  • Djenaliev, A. (2007). Multicriteria decision making and GIS for railroad planning in Kyrgyzstan (MSc dissertation), Royal Institute of Technology, Sweden.
  • Duckstein, L., Treichel, W., & El Magnouni, S. (1994). Ranking ground-water management alternatives by multicriterion analysis. Journal of Water Resources Planning and Management, 12(4), 546–565.
  • Duckstein, L., Gershon, M., & McAniff, R. (1982). Model selection in multiobjective decision making for river basin planning. Advances in Water Resources, 5(3), 178–184.
  • Dunning, D.J., Ross, Q.E., & Merkhofer, M.W. (2000). Multiattribute utility analysis; best technology available; adverse environmental impact; Clean Water Act; Section 316(b). Environmental Science and Policy, 3(1), 7–14.
  • Eberhard, R., & Joubert, A. (2001). An evaluation of alternative water supply augmentation and water demand management options for the City of Cape Town using multi-criteria decision analysis ( Report No: 3216/9026). Cape Town, South Africa: University of Cape Town.
  • Ebrahimnejad, S., Mousavi, S.M., & Mojtahedi, S.M.H. (2009). A fuzzy decision-making model for risk ranking with an application to an onshore gas refinery. International Journal of Business Continuity and Risk Management, 1(1), 38–66.
  • Ebrahimnejad, S., Mousavi, S.M., Tavakkoli-Moghaddam, R., Hashemi, H., & Vahdani, B. (2012). A novel two-phase group decision making approach for construction project selection in a fuzzy environment. Applied Mathematical Modelling, 36(9), 4197–4217.
  • Ellis, K.V., & Tang, S.L. (1991). Wastewater treatment optimization model for developing world. I: Model development. Journal of Environmental Engineering Division, 117(4), 501–581.
  • Ellis, K.V., & Tang, S.L. (1994). Wastewater treatment optimization model for development world. II: Model testing. Journal of Environmental Engineering Division, 120(3), 610–624.
  • Elmahdi, A., Kheireldin, K., & Hamdy, A. (2006). GIS and multi-criteria evaluation: Robust tools for integrated water resources management. Water International, 31(4), 440–447.
  • Elshorbagy, A. (2006). Multicriterion decision analysis approach to assess the utility of watershed modeling for management decisions. Water Resources Research, 42, 1–14.
  • Farhan, J., & Fwa, T.F. (2009). Pavement maintenance prioritization using analytic hierarchy process. Transportation Research Record, 2093, 12–24.
  • Fattahi, P., & Fayyaz, S. (2010). A compromise programming model to integrated urban water management. Water Resources Management, 24(6), 1211–1227.
  • Figueira, J., Greco, S., & Ehrgott, M. (2005). Multiple criteria decision analysis: State of the art surveys. New York: Springer.
  • Fishburn, P.C. (1967). Additive utilities with incomplete product set: Applications to priorities and assignments. Baltimore, MD: Operations Research Society of America (ORSA).
  • Flintsch, G., & Chen, C. (2004). Soft computing applications in infrastructure management. Journal of Infrastructure System, 10(4), 157–166.
  • Frangopol, D.M. (1995). Reliability-based optimum structural design. Probabilistic structural mechanics handbook (pp. 352–387). New York: Chapman & Hall.
  • Frangopol, D.M. (1998). Probabilistic structural optimization. Progress in Structural Engineering and Materials, 1(2), 223–230.
  • Frangopol, D.M. (2011). Life-cycle performance, management, and optimization of structural systems under uncertainty: Accomplishments and challenges. Structure and Infrastructure Engineering, 7(6), 389–413.
  • Frangopol, D.M., & Bocchini, P. (2012). Bridge network performance, maintenance, and optimization under uncertainty: Accomplishments and challenges. Structure and Infrastructure Engineering, 8(4), 341–356.
  • Frangopol, D.M., Enright, M.P., Gharaibeh, E., & Estes, A.C. (1999). Towards optimal reliability-based bridge maintenance planning. Case studies in optimal design and maintenance planning of civil infrastructure systems (pp. 73–88). Reston, VA: ASCE.
  • Frangopol, D.M., & Maute, K. (2003). Life-cycle reliability-based optimization of civil and aerospace structures. Computers & Structures, 81(7), 397–410.
  • Frangopol, D.M., & Maute, K. (2005). Reliability-based optimization of civil and aerospace structural systems. Engineering design reliability handbook (pp. 24–32). Boca Raton: CRC Press.
  • Frangopol, D.M., Maute, K., & Liu, M. (2007). Design optimization with uncertainty, life-cycle performance and cost considerations. Optimization of structural and mechanical systems (pp. 291–329). Hackensack, NJ: World Scientific Publishing Co. Ptc. Ltd.
  • Frangopol, D.M., & Messervey, T.B. (2011). Risk assessment for bridge decision-making. Quantitative risk assessment (QRA) for natural hazards (pp. 52–64). Monograph No. 5. Reston, VA: ASCE.
  • Frangopol, D.M., Miyake, M., Kong, J.S., Gharaibeh, E.S., & Estes, A.C. (2002). Reliability- and cost-oriented optimal bridge maintenance planning. Recent advances in optimal structural design (pp. 257–270). Reston, VA: ASCE.
  • Frangopol, D.M., & Neves, L.C. (2004). Probabilistic maintenance and optimization strategies for deteriorating civil infrastructures. Progress in computational structures technology (pp. 353–377). Stirling: Saxe-Coburg Publications.
  • Frangopol, D.M., & Neves, L.C. (2006). Life-cycle maintenance of structures by condition, reliability and cost oriented probabilistic optimization. Innovation in computational structures technology (pp. 95–110). Stirling: Saxe-Coburg Publications.
  • Frangopol, D.M., & Neves, L.C. (2008). Optimization of life-cycle maintenance strategies under uncertainties: Role of inspections. Trends in computational structures technology (pp. 55–74). Stirling: Saxe-Coburg Publications.
  • Frangopol, D.M., & Okasha, N.M. (2009a). Multi-criteria optimization of life-cycle maintenance programs using advanced modeling and computational tools. Trends in civil and structural computing (pp. 1–26). Stirlingshire: Saxe-Coburg Publications.
  • Frangopol, D.M., & Okasha, N.M. (2009b). Multi-criteria optimization of life-cycle performance of structural systems under uncertainty. Risk and decision analysis in maintenance optimization and flood management (pp. 99–112). Amsterdam: IOS Press.
  • Frangopol, D.M., & Liu, M. (2006). Multiobjective optimization of risk-based maintenance and lifecycle cost of civil infrastructure. System modeling and optimization (pp. 123–136). Boston, MA: Springer.
  • Frangopol, D.M., & Liu, M. (2007a). Bridge network maintenance optimization using stochastic dynamic programming. Journal of Structural Engineering, 133(12), 1772–1782.
  • Frangopol, D.M., & Liu, M. (2007b). Maintenance and management of civil infrastructure based on condition, safety, optimization, and life-cycle cost. Structure and Infrastructure Engineering, 3(1), 29–41.
  • Frangopol, D.M., Lin, K.Y., & Estes, A.C. (1997). Life-cycle cost design of deteriorating structures. Journal of Structural Engineering, 123(10), 1390–1401.
  • Fu, G., & Frangopol, D.M. (1990a). Reliability-based vector optimization of structural systems. Journal of Structural Engineering, 116(8), 2143–2161.
  • Fu, G., & Frangopol, D.M. (1990b). Balancing weight, system reliability and redundancy in a multiobjective optimization framework. Structural Safety, 7(2–4), 165–175.
  • Furuta, H., Frangopol, D.M., & Nakatsu, K. (2011). Life-cycle cost of civil infrastructure with emphasis on balancing structural performance and seismic risk of road network. Structure and Infrastructure Engineering, 7(1–2), 65–74.
  • Furuta, H., Kameda, T., Nakahara, K., Takahashi, Y., & Frangopol, D.M. (2006). Optimal bridge maintenance planning using improved multi-objective genetic algorithm. Structure and Infrastructure Engineering, 2(1), 33–41.
  • Ganoulis, J., Skoulikaris, H., & Monget, J.M. (2008). Involving stakeholders in transboundary water resource management: The Mesta/Nestos ‘HELP’ basin. Water SA, 34(4), 461–467.
  • Gao, J., Zhao, R., Zou, Z., Xu, W., & Yu, B. (2007). Study on multi level blur comprehensive evaluation methods of highway traffic based on AHP. Journal of Wuhan University of Technology (Transportation Science & Engineering), 31(2), 243–246.
  • Gauffre, P.L., Haidar, H., Poinard, D., Laffrechine, K., Baur, R., & Schiatti, M. (2007). A multicriteria decision support methodology for annual rehabilitation programs of water networks. Computer-Aided Civil and Infrastructure Engineering, 22(7), 478–488.
  • Gercek, H., Karpak, B., & Kilncaslan, T. (2004). A multiple criteria approach for the evaluation of the rail transit networks in Istanbul. Transportation, 31(2), 203–228.
  • Gershon, M., & Duckstein, L. (1983). Multiobjective approaches to river basin planning. Journal of Water Resources Planning and Management, 109(1), 13–28.
  • Gervasio, H., & Simões da Silva, L. (2012). A probabilistic decision-making approach for the sustainable assessment of infrastructures. Expert Systems with Applications, 39(7), 7121–7131.
  • Gololov, I., & Yezioro, A. (2007). A computer system for multi-criteria comparative evaluation of building envelopes. Proceedings of Building Simulation, Beijing, China, 1895–1902.
  • Gomez-Lopez, M.D., Bayo, J., Garcia-Cascales, M.S., & Angosto, J.M. (2009). Decision support in disinfection technologies for treated wastewater reuse. Journal of Cleaner Production, 17(16), 1504–1511.
  • Greiner, R., Herr, A., Brodie, J., & Haynes, D. (2005). A multi-criteria approach to great barrier reef catchment (Queensland, Australia) diffuse-source pollution problem. Marine Pollution Bulletin, 51(1–4), 128–137.
  • Guangming, Z., Jiang, R., Huang, G., Xu, M., & Li, J. (2007). Optimization of wastewater treatment alternative selection by hierarchy grey relational analysis. Journal of Environmental Management, 82(2), 250–259.
  • Haghigh, F. (2011). Application of a multi-criteria approach to road safety evaluation in the Bushehr province. Iran. Traffic & Transportation, 23(5), 341–352.
  • Hajeeh, M., & Al-Othman, A. (2005). Application of the analytical hierarchy process in the selection of desalination plants. Desalination, 174(1), 97–108.
  • Hajkowicz, S., & Collins, K. (2007). A review of multiple criteria analysis for water resource planning and management. Water Resource Management, 21(9), 1553–1566.
  • Hajkowicz, S., & Higgins, A. (2008). A comparison of multiple criteria analysis techniques for water resource management. European Journal of Operational Research, 184(1), 255–265.
  • Hamouda, M.A., Anderson, W.B., & Huck, P.M. (2012). Employing multi-criteria decision analysis to select sustainable point-of-use and point-of-entry water treatment systems. Water Science & Technology: Water Supply, 12(5), 637–647.
  • Harboe, R. (1992). Multiobjective decision making techniques for reservoir operation. Journal of the American Water Resources Association, 28(1), 103–110.
  • Hayashi, K. (2000). Multicriteria analysis for agricultural resource management: A critical survey and future perspectives. European Journal of Operational Research, 122(2), 486–500.
  • Herath, G. (2004). Incorporating community objectives in improved wetland management: The use of the analytic hierarchy process. Journal of Environmental Management, 70(3), 263–273.
  • Hermans, C.M., & Erickson, J.D. (2007). Multicriteria decision analysis: Overview and implications for environmental decision making. Advances in the Economics of Environmental Resources, 7, 213–228.
  • Herva, M., & Roca, E. (2012). Review of combined approaches and multi-criteria analysis for corporate environmental evaluation. Journal of Cleaner Production, 39, 355–371.
  • Hobbs, B., Chankong, V., Hamadeh, W., & Stakhiv, E. (1992). Does choice of multicriteria method matter – An experiment in water-resources planning. Water Resources Research, 28(7), 1767–1779.
  • Hokkanen, J., & Salminen, P. (1997). Choosing a solid waste management system using multicriteria decision analysis. European Journal of Operational Research, 98(1), 19–36.
  • Holguin-Veras, J. (1995). Comparative assessment of AHP and MAV in highway planning: Case study. Journal of Transportation Engineering, 121(2), 191–200.
  • Hongyan, L., & Yan, T. (2007). Bidding-evaluation of construction projects based on VIKOR method. Proceedings of the IEEE International Conference on Automation and Logistics, Jinan, China, 1778–1782.
  • Hsu, T.H. (1999). Public transport system project evaluation using the analytic hierarchy process: A fuzzy Delphi approach. Transportation Planning and Technology, 22(4), 229–246.
  • Hu, T.J., Chen, W.P., Zeng, G.M., Chen, X.C., Yang, S.F., & Xie, Z. (2000). The optimal scheme selection of the Xiawan, Zhuzhou municipal wastewater treatment plant using the analytic hierarchy process. Environmental Engineering, 1, 61–63.
  • Huang, I.B., Keisler, J., & Linkov, I. (2011). Multi-criteria decision analysis in environmental sciences: Ten years of applications and trends. Science of the Total Environment, 409(19), 3578–3594.
  • Hugonnard, J., & Roy, B. (1982). Le plan dextension dumetro en banlieue parisienne, uncas type d application delanalyse multicritere. Les Cahiers Scientifiques de la Revue Transports, 6, 77–108.
  • Hwang, C.L., & Yoon, K. (1981). Multiple attribute decision making, in lecture notes in economics and mathematical systems 186. Berlin: Springer-Verlag.
  • Hyde, K.M., & Maier, H.R. (2006). Distance-based and stochastic uncertainty analysis for multi-criteria decision analysis in Excel using Visual Basic for applications. Environmental Modelling & Software, 21(12), 1695–1710.
  • Iniestra, J.G., & Gutierrez, J.G. (2009). Multicriteria decisions on interdependent infrastructure transportation projects using an evolutionary-based framework. Applied Soft Computing, 9(2), 512–526.
  • Jaber, J.O., & Mohsen, M.S. (2001). Evaluation of non-conventional water resources supply in Jordan. Desalination, 136(1–3), 83–92.
  • Jakimavicius, M., & Burinskiene, M. (2009a). Assessment of Vilnius city development scenarios based on transport system modelling and multicriteria analysis. Journal of Civil Engineering and Management, 15(4), 361–368.
  • Jakimavicius, M., & Burinskiene, M. (2009b). A GIS and multi-criteria-based analysis and ranking of transportation zones of Vilnius city. Technological and Economic Development of Economy, 15(1), 39–48.
  • Janic, M. (2003). Multicriteria evaluation of high-speed rail, transrapid maglev and air passenger transport in Europe. Transportation Planning and Technology, 26(6), 491–512.
  • Jia, R., Ou, D., Zhang, J., & Shibiao, F. (2011). The construction and application of green residential community water-saving evaluation system. Applied Mechanics and Materials, 71–78, 393–398.
  • Joubert, A., Leiman, A., de Klerk, H., Katua, S., & Aggenbach, J. (1997). Fynbos (fine bush) vegetation and the supply of water: A comparison of multi-criteria decision analysis and cost–benefit analysis. Ecological Economics, 22(2), 123–140.
  • Jutila, A., & Sundquist, H. (2007). Bridge life cycle optimisation – ETSI project (Stage 1). Helsinki University of Technology Publications in Bridge Engineering, TKK-SRT-37, 1–167.
  • Kabir, G. (2012). Multiple criteria inventory classification under fuzzy environment. International Journal of Fuzzy System Applications, 2(4), 76–92.
  • Kabir, G. (2013). Consultant selection for quality management using VIKOR method under fuzzy environment. International Journal of Multicriteria Decision Making, Advance online publication.
  • Kabir, G., & Hasin, M.A.A. (2012a). Integrating modified Delphi method with Fuzzy AHP for optimal power substation location selection. International Journal of Multicriteria Decision Making, Advance online publication.
  • Kabir, G., & Hasin, M.A.A. (2012b). Integrating fuzzy AHP with TOPSIS method for optimal power substation location selection. International Journal of Enterprise Network Management, Advance online publication.
  • Kabir, G., & Hasin, M.A.A. (2013). Multi-criteria inventory classification through integration of fuzzy analytic hierarchy process and artificial neural network. International Journal of Industrial and System Engineering, 14(1), 74–103.
  • Kabir, G., & Sumi, R.S. (2012a). Selection of concrete production facility location integrating fuzzy AHP with TOPSIS method. International Journal of Productivity Management and Assessment Technologies, 1(1), 40–59.
  • Kabir, G., & Sumi, R.S. (2012b). Integrating modified Delphi with fuzzy AHP for concrete production facility location selection. International Journal of Fuzzy System Applications, Advance online publication.
  • Kang, S., & Lee, S.M. (2007). AHP-based decision-making process for median barrier installation. International Workshop on Computing in Civil Engineering. Pittsburgh, PA.
  • Karimi, A.R., Mehrdadi, N., Hashemian, S.J., Nabi Bidhendi, G.R., & Tvakkoli-Moghaddam, R. (2011). Selection of wastewater treatment process based on the analytical hierarchy process and fuzzy analytical hierarchy process methods. International Journal of Environmental Science and Technology, 8(2), 267–280.
  • Kassab, M., Hipel, K., & Hegazy, T. (2011). Multi-criteria decision analysis for infrastructure privatisation using conflict resolution. Structure and Infrastructure Engineering, 7(9), 661–671.
  • Katsuki, S., Frangopol, D.M., & Ishikawa, N. (1993a). Holonomic elastoplastic reliability analysis of truss systems. I: Theory. Journal of Structural Engineering, 119(6), 1778–1791.
  • Katsuki, S., Frangopol, D.M., & Ishikawa, N. (1993b). Holonomic elastoplastic reliability analysis of truss systems. II: Applications. Journal of Structural Engineering, 119(6), 1792–1806.
  • Kaya, T., & Kahraman, C. (2011). Fuzzy multiple criteria forestry decision making based on an integrated VIKOR and AHP approach. Expert Systems with Applications, 38(6), 7326–7333.
  • Khalil, W.A., Shanableh, A., Rigby, P., & Kokot, S. (2005). Selection of hydrothermal pretreatment conditions of waste sludge destruction using multicriteria decision making. Journal of Environmental Management, 75(1), 53–64.
  • Khasnabis, S., Alsaidi, E., Liu, L., & Darin, R. (2002). Comparative study of two techniques of transit performance assessment: AHP and GAT. Journal of Transportation Engineering, 128(6), 499–508.
  • Khasnabis, S., & Chaudry, B.B. (1994). Prioritising transit markets using analytic hierarchy process. Journal of Transportation Engineering, 120(1), 74–93.
  • Khatri, K.B., Vairavamoorthy, K., & Akinyemi, E. (2011). Framework for computing a performance index for urban infrastructure systems using a fuzzy set approach. Journal of Infrastructure Systems, 17(4), 163–175.
  • Kheireldin, K., & Fahmy, H. (2001). Multicriteria approach for evaluating long term water strategies. Water International, 26(4), 527–535.
  • Khelifi, O., Lodolo, A., Vranes, S., Centi, G., & Miertus, S. (2006). A web-based decision support tool for groundwater remediation technologies selection. Journal of Hydroinformatics, 8(2), 91–100.
  • Kiker, G.A., Bridges, T.S., Varghese, A., Seager, P.T., & Linkov, I. (2005). Application of multicriteria decision analysis in environmental decision making. Integrated Environmental Assessment and Management, 1(2), 95–108.
  • Kim, K., & Bernardin, V. (2002). Application of an analytical hierarchy process at the Indiana department of transportation for prioritizing major highway capital investments. Proceedings of 7th transportation research board conference on the application of transportation planning methods (pp. 266–278). Boston, MA.
  • Kim, S., & Frangopol, D.M. (2012). Probabilistic bi-objective optimum inspection/monitoring planning: Applications to naval ships and bridges under fatigue. Structure and Infrastructure Engineering, 8(10), 912–927.
  • Kim, S., Frangopol, D.M., & Zhu, B. (2011). Probabilistic optimum inspection/repair planning of deteriorating structures. Journal of Performance of Constructed Facilities, 25(6), 534–544.
  • Kim, Y.M., Kim, C.H., & Hong, S.G. (2006). Fuzzy based state assessment for reinforced concrete building structures. Engineering Structures, 28(9), 1286–1297.
  • Klauer, B., Drechsler, M., & Messner, F. (2002). Multi-criteria analysis more under uncertainty with IANUS-method and empirical results. Leipzig, Germany: UFZ Centre for Environmental Research.
  • Kong, J.S., & Frangopol, D.M. (2004). Cost-reliability interaction in life-cycle cost optimization of deteriorating structures. Journal of Structural Engineering, 130(11), 1704–1712.
  • Kong, J.S., & Frangopol, D.M. (2005). Probabilistic optimization of aging structures considering maintenance and failure costs. Journal of Structural Engineering, 131(4), 600–616.
  • Koo, D.H., & Ariaratnam, S.T. (2008). Application of a sustainability model for assessing water main replacement options. Journal of Construction Engineering and Management, 134(8), 563–574.
  • Lai, E., Lundie, S., & Ashbolt, N.J. (2008). Review of multi-criteria decision aid for integrated sustainability assessment of urban water systems. Urban Water Journal, 5(4), 315–327.
  • Lambert, J.H., Wu, Y.J., You, H., Clarens, A., & Brian Smith, B. (2012). Climate change influence on priority setting for transportation infrastructure assets. Journal of Infrastructure Systems, 19(1), 36–46.
  • Lamy, F., Bolte, J., Santelmann, M., & Smith, C. (2002). Development and evaluation of multiple-objective decision-making methods for watershed management planning. Journal of American Water Resources Association, 38(2), 517–529.
  • Larson, C.D., & Forman, E.H. (2007). Application of analytic hierarchy process to select project scope for videologging and pavement condition data collection. Transportation Research Record, 1990, 0–47.
  • Lee, S.Y., Park, W., Ok, S.Y., & Koh, H.M. (2011). Preference-based maintenance planning for deteriorating bridges under multi-objective optimisation framework. Structure and Infrastructure Engineering, 7(7–8), 633–644.
  • Leviakangas, P., & Lahesmaa, J. (2002). Profitability evaluation of intelligent transport system, investments. Journal of Transportation Engineering, 128(3), 276–286.
  • Liang, R., & Pensomboon, G. (2010). Multicriteria decision-making approach for highway slope hazard management. Journal of Infrastructure Systems, 16(1), 50–57.
  • Liaudanskiene, R., Ustinovicius, L., & Bogdanovicius, A. (2009). Evaluation of construction process safety solutions using the TOPSIS method. Inzinerine Ekonomika-Engineering Economics, 64(4), 32–40.
  • Lin, C.C., Wang, W.C., & Yu, W.D. (2008). Improving AHP for construction with an adaptive AHP approach (A3). Automation in Construction, 17(2), 180–187.
  • Linkov, I., Satterstrom, F.K., Kiker, G., Batchelor, C., Bridges, T., & Ferguson, E. (2006). From comparative risk assessment to multi-criteria decision analysis and adaptive management: Recent developments and applications. Environment International, 32(8), 1072–1093.
  • Liu, Z., Fei, W., Wu, P., & Chen, F. (2011). The research on building up the hierarchy process and fuzzy evaluation model and evaluation system about the cement concrete pavement on the basis of the fuzzy mathematics theory. Advanced Materials Research, 255-260, 3228–3233.
  • Liu, M., & Frangopol, D.M. (2004). Optimal bridge maintenance planning based on probabilistic performance prediction. Engineering Structures, 26(7), 991–1002.
  • Liu, M., & Frangopol, D.M. (2005a). Maintenance planning of deteriorating bridges by using multiobjective optimization. Transportation Research Record, Journal of the Transportation Research Board, CD 11-S, Transportation Research Board of the National Academies, Washington, DC491–500.
  • Liu, M., & Frangopol, D.M. (2005b). Balancing connectivity of deteriorating bridge networks and long-term maintenance cost through optimization. Journal of Bridge Engineering, 10(4), 468–481.
  • Liu, M., & Frangopol, D.M. (2005c). Bridge annual maintenance prioritization under uncertainty by multiobjective combinatorial optimization. Computer Aided Civil and Infrastructure Engineering, 20(5), 343–353.
  • Liu, M., & Frangopol, D.M. (2005d). Multiobjective maintenance planning optimization for deteriorating bridges considering condition, safety and life-cycle cost. Journal of Structural Engineering, 131(5), 833–842.
  • Liu, M., & Frangopol, D.M. (2006). Optimizing bridge network maintenance management under uncertainty with conflicting criteria: Life-cycle maintenance, failure, and user costs. Journal of Structural Engineering, 132(11), 1835–1845.
  • Macary, F., Ombredane, D., & Uny, D. (2010). A multicriteria spatial analysis of erosion risk into small watersheds in the low Normandy bocage (France) by ELECTRE III method coupled with a GIS. International Journal of Multicriteria Decision Making, 1(1), 25–48.
  • Macharis, C., Springael, J., de Brucker, K., & Verbeke, A. (2004). PROMETHEE and AHP: The design of operational synergies in multicriteria analysis: Strengthening PROMETHEE with ideas of AHP. European Journal of Operational Research, 153(2), 307–317.
  • Macharis, C., Witte, A.D., & Ampe, J. (2008). The multi-actor, multi-criteria analysis methodology (MAMCA) for the evaluation of transport projects: Theory and practice. Journal of Advanced Transportation, 43(2), 183–202.
  • Machiwal, D., Jha, M.K., & Mal, B.C. (2011). Assessment of groundwater potential in a semi-arid region of India using remote sensing, GIS and MCDM techniques. Water Resources Management, 25(5), 1359–1386.
  • Mahmoud, M.R., & Garcia, L.A. (2000). Comparison of different multicriteria evaluation methods for the Red Bluff diversion dam. Environmental Modelling and Software, 15(5), 471–478.
  • Malczewski, J. (2006). GIS-based multicriteria decision analysis: A survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726.
  • Malekly, H., Mousavi, S.M., & Hashemi, H. (2010). A fuzzy integrated methodology for evaluating conceptual bridge design. Expert Systems with Applications, 37(7), 4910–4920.
  • Mareschal, B., & Brans, J.P. (1988). Geometrical representations for MCDA. The GAIA module. European Journal of Operational Research, 34(1), 69–77.
  • Marler, R.T., & Arora, J.S. (2004). Survey of multi-objective optimization methods for engineering. Structural and Multidisciplinary Optimization, 26(6), 369–395.
  • Marlow, D.R., Beale, D.J., & Mashford, J.S. (2012). Risk-based prioritization and its application to inspection of valves in the water sector. Reliability Engineering and System Safety, 100, 67–74.
  • Martin, C., Ruperd, Y., & Legret, M. (2007). Urban stormwater drainage management: The development of a multicriteria decision aid approach for best management practices. European Journal of Operational Research, 181(1), 338–349.
  • Marzouk, M., & Omar, M. (2012). Multiobjective optimisation algorithm for sewer network rehabilitation. Structure and Infrastructure Engineering, Advance online publication. doi: https://doi.org/10.1080/15732479.2012.666254.
  • Masami, S. (1995). Analytic hierarchy process (AHP)-based multi-attribute benefit structure analysis of road network systems in mountainous rural areas of Japan. International Journal of Forest Engineering, 7(1), 41–50.
  • Maskeliunaite, L., & Sivilevicius, H. (2011). Applying AHP technique to the assessment of railway trip quality (RTQ). Proceedings of 8th international conference on environmental engineering (pp. 1133–1141). Vilnius, Lithuania.
  • Michaud, D., & Apostolakis, G.E. (2006). Methodology for ranking the elements of water-supply networks. Journal of Infrastructure Systems, 12(4), 230–242.
  • Miller, D.W., & Starr, M.K. (1969). Executive Decisions and Operation Research. Englewood Cliffs, NJ: Prentice-Hall, Inc.
  • Milojkovic, I., & Andric, S. (2009). VIKOR method for asset management in Serbian Belgrade wastewater services. Proceedings of the tenth international conference on computing and control for the water industry (CCWI) (pp. 741–747). Sheffield, UK.
  • Moghaddam, M.R.S., Yavari, A., Ghariblu, F., & Anbari, Y. (2011). Ranking of strategic management indicators in improvement of urban management by using multiple attribute decision method of TOPSIS. Applied Mechanics and Materials, 99–100, 524–530.
  • Morais, D.C., & Almeida, A.T. (2006). Water supply system decision making using multicriteria analysis. Water SA, 32(2), 229–235.
  • Morais, D.C., Cavalcante, C.A.V., & Almeida, A.T. (2010). Water network rehabilitation: A group decision-making approach. Water SA, 36(4), 487–493.
  • Morais, D.C., & De Almeida, A.T. (2007). Group decision-making for leakage management strategy of water network. Resources, Conservation and Recycling, 52(2), 441–459.
  • Moura, P.M., Baptista, M.B., & Barraud, S. (2006). Comparison between two methodologies for urban drinage decision aid. Water Science & Technology, 54(6–7), 493–499.
  • Mustajoki, J., Hamalainen, R.P., & Marttunen, M. (2004). Participatory multicriteria decision analysis with Web-HIPRE: A case of lake regulation policy. Environmental Modelling & Software, 19(6), 537–547.
  • Nachtnebel, H.P. (1994). Comparison of multi-criterion modelling techniques and guidelines for selection. Multicriteria decision analysis in water resources management (pp. 203–234). Paris, France: IHP of UNESCO.
  • Netto, O.C., Parent, E., & Duckstein, L. (1996). Multicriterion design of long-term water supply in Southern France. Journal of Water Resources Planning and Management, 122(6), 403–413.
  • Neves, L.A.C., Frangopol, D.M., & Cruz, P.J.S. (2006). Probabilistic lifetime-oriented multiobjective optimization of bridge maintenance: Single maintenance type. Journal of Structural Engineering, 132(6), 991–1005.
  • Neves, L.A.C., Frangopol, D.M., & Petcherdchoo, A. (2006). Probabilistic lifetime-oriented multi-objective optimization of bridge maintenance: Combination of maintenance types. Journal of Structural Engineering, 132(11), 1821–1834.
  • Ning, X., & Wang, L. (2011). Construction site layout evaluation by intuitionistic fuzzy TOPSIS model. Applied Mechanics and Materials, 71–78, 583–588.
  • Novacko, L., Cavar, I., & Dubravka, H. (2008). Selection of LRT system track gauge using multi-criteria decision-making (City of Zagreb). Urban transport XIV: Urban transport and the environment in the 21st Century (pp. 167–173). Ashurst, Southampton: WIT Press.
  • Nystrom, B., & Soderholm, P. (2010). Selection of maintenance actions using the analytic hierarchy process (AHP): Decision-making in railway infrastructure. Structure and Infrastructure Engineering, 6(4), 467–479.
  • Okeola, O.G., & Sule, B.F. (2012). Evaluation of management alternatives for urban water supply system using multicriteria decision analysis. Journal of King Saud University – Engineering Sciences, 24(1), 19–24.
  • Onta, P., Gupta, A., & Harboe, R. (1991). Multistep planning model for conjunctive use of surface- and ground-water resources. Journal of Water Resources Planning and Management, 117(6), 662–678.
  • Opricovic, S. (2009). A compromise solution in water resources planning. Water Resources Management, 23(8), 1549–1561.
  • Opricovic, S. (2011). Fuzzy VIKOR with an application to water resources planning. Expert Systems with Applications, 38(10), 12983–12990.
  • Opricovic, S., & Tzeng, G.H. (2002). Multicriteria planning of post-earthquake sustainable reconstruction. Computer-Aided Civil and Infrastructure Engineering, 17(3), 211–220.
  • Opricovic, S., & Tzeng, G.H. (2007). Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research, 178(2), 514–529.
  • Okasha, N.M., & Frangopol, D.M. (2009). Lifetime-oriented multi-objective optimization of structural maintenance, considering system reliability, redundancy, and life-cycle cost using GA. Structural Safety, 31(6), 460–474.
  • Okasha, N.M., & Frangopol, D.M. (2010). Novel approach for multi-criteria optimization of life-cycle preventive and essential maintenance of deteriorating structures. Journal of Structural Engineering, 136(8), 1009–1022.
  • Okasha, N.M., Frangopol, D.M., & Deco, A. (2010). Integration of structural health monitoring in life-cycle performance assessment of ship structures under uncertainty. Marine Structures, 23(3), 303–321.
  • Opricovic, S. (1998). Multicriteria optimization of civil engineering systems. Faculty of Civil Engineering, Belgrade.
  • Opricovic, S., & Tzeng, G.H. (2002). Multicriteria planning of post-earthquake sustainable reconstruction. Computer-Aided Civil and Infrastructure Engineering, 17(3), 211–220.
  • Opricovic, S., & Tzeng, G.H. (2003). Fuzzy multicriteria model for post-earthquake land-use planning. Natural Hazards Review, 4(2), 59–64.
  • Opricovic, S., & Tzeng, G.H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445–455.
  • Orcesi, A.D., & Frangopol, D.M. (2011a). Probability-based multiple-criteria optimization of bridge maintenance using monitoring and expected error in the decision process. Structural and Multidisciplinary Optimization, 44(1), 137–148.
  • Orcesi, A.D., & Frangopol, D.M. (2011b). Optimization of bridge maintenance strategies based on structural health monitoring information. Structural Safety, 33(1), 26–41.
  • Orcesi, A.D., Frangopol, D.M., & Kim, S. (2010). Optimization of bridge maintenance strategies based on multiple limit states and monitoring. Engineering Structures, 32(3), 627–640.
  • Oswald, M., Li, Q., McNeil, S., & Trimbath, S. (2011). Measuring infrastructure performance: Development of a national infrastructure index. Public Works Managament and Policy, 16(4), 373–394.
  • Ozbek, M.E., de la Garza, J.M., & Konstantinos Triantis, K. (2010). Data and modeling issues faced during the efficiency measurement of road maintenance using data envelopment analysis. Journal of Infrastructure Systems, 16(1), 21–30.
  • Ozelkan, E.C., & Duckstein, L. (1996). Analysing water resources alternatives and handling criteria by multi criterion decision techniques. Journal of Environmental Management, 48(1), 69–96.
  • Pan, H., Zhang, Z., & Yang, L. (2011). A Study on risk of durability failure for construction projects of tunnels and underground projects. Advanced Materials Research, 163-167, 3280–3284.
  • Patidar, V., Labi, S., Sinha, K.C., & Thompson, P. (2007). Multi-objective optimization for bridge management systems. National Cooperative Highway Research Program, NCHRP Report 590, Transportation Research Board, Washington, DC.
  • Petcherdchoo, A., Neves, L.A.C., & Frangopol, D.M. (2008). Optimizing lifetime condition and reliability of deteriorating structures with emphasis on bridges. Journal of Structural Engineering, 134(4), 544–552.
  • Pires, A., Chang, N.B., & Martinho, G. (2011). An AHP-based fuzzy interval TOPSIS assessment for sustainable expansion of the solid waste management system in Setubal Peninsula, Portuga. Resources, Conservation and Recycling, 56(1), 7–21.
  • Pohekar, S.D., & Ramachandran, M. (2004). Application of multi-criteria decision making to sustainable energy planning – A review. Renewable and Sustainable Energy Reviews, 8(4), 365–381.
  • Pourzeynali, S., Lavasani, H.H., & Modarayi, A.H. (2007). Active control of high rise building structures using fuzzy logic and genetic Algorithms. Engineering Structures, 29(3), 346–357.
  • Pudenz, S., Bruggemann, R., Voigt, K., & Welzl, G. (2002). Multi-criteria evaluation and decision-support instruments for the long-term development of management strategies. Umweltwissenschaften und Schadstoff-Forschung, 14(1), 52–57.
  • Rahman, S.M. (2005). Sustainability appraisal of urban transportation: Application of analytical hierarchy process (AHP). Conference proceedings of Environmentally Sustainable Development. Abbottabad, Pakistan.
  • Raju, K.S., Duckstein, L., & Arondel, C. (2000). Multicriterion analysis for sustainable water resources planning: A case study in Spain. Water Resources Management, 14(6), 435–456.
  • Raju, K.S., & Kumar, D.N. (1998). MCDMGSS: A group decision support system for multicriterion analysis. Proceedings of international conference on system dynamics (pp. 67–73). Kharagpur, India.
  • Raju, K.S., & Kumar, D.N. (2006). Ranking irrigation planning alternatives using data envelopment analysis. Water Resources Management, 20(4), 553–566.
  • Raju, K.S., & Pillai, C.R.S. (1999). Multicriterion decision making in river basin planning and development. European Journal of Operational Research, 112(2), 249–257.
  • Reuters, T. (2010)., Web of science. Accessed January 1, 2011. Available online http://thomsonreuters.com/products_services/science/science_products/a-z/web_of_science/.
  • Revadigar, S., & Mau, S.T. (1999). Automated multicriterion building damage assessment from seismic data. Journal of Structural Engineering, 125(2), 211–217.
  • Rogers, M. (2000). Using Electre III to aid the choice of housing construction process within structural engineering. Construction Management and Economics, 18(3), 333–342.
  • Rogers, M., & Bruen, M. (2000). Using ELECTRE III to choose route for Dublin port motorway. Journal of Transportation Engineering, 126(4), 313–323.
  • Rogers, P.D., & Grigg, N.S. (2009). Failure assessment modeling to prioritize water pipe renewal: Two case studies. Journal of Infrastructure Systems, 15(3), 162–171.
  • Romero, C., & Rehman, T. (1987). Natural resource management and the use of multiple criteria decision making techniques: A review. European Review of Agricultural Economics, 14(1), 61–89.
  • Roy, B. (1978). ELECTRE III: un algorithme de classements fonde sur une representation floue des preferences en presence de criteres multiples. Cahiers du CERO, 20(1), 3–24.
  • Roy, B., & Bertier, P. (1971). La methode ELECTRE II. Paris, France: Note de travail 142, SEMA-METRA, Metra International.
  • Roy, B., & Skalka, J. (1984). ELECTRE IS: Aspects methodologiques et guide dutilisation, Document du LAMSADE 30, University Paris-Dauphine.
  • Saaty, T.L. (1980). The analytic hierarchy process. New York: McGraw Hill.
  • Sadiq, R., & Tesfamariam, S. (2008). Developing environmental indices using fuzzy numbers ordered weighted averaging (FN-OWA) operators. Stochastic Environmental Research and Risk Assessment, 22(5), 495–505.
  • Sadiq, R., & Tesfamariam, S. (2009). Multi-criteria decision-making (MCDM) using intuitionistic fuzzy analytic hierarchy process (IF-AHP). Stochastic Environmental Research and Risk Assessment, 23(1), 75–91.
  • Saito, M. (1987). Application of the analytic hierarchy method to setting priorities on bridge replacement projects. Transportation Research Record, 1124, 26–35.
  • Saleh, A.E., Yavari, A., Maleki, M., & Alamouti, S.M. (2012). Ranking of efficient approaches to urban infrastructures management by using TOPSIS method: Case study of Iran. Recent Researches in Engineering Mechanics, Urban & Naval Transportation and Tourism (pp. 252–257). Cambridge, UK.
  • Salem, O.M., Miller, R.A., Deshpande, A.S., & Arurkar, T.P. (2013). Multi-criteria decision-making system for selecting an effective plan for bridge rehabilitation. Structure and Infrastructure Engineering, 9(8), 806–816.
  • Salokangas, L. (2009). Bridge life cycle optimisation-ETSI project (Stage 2) (pp. 1–140): Helsinki University of Technology Publications in Bridge Engineering, TKK-R-BE3.
  • Saparauskas, J., & Turskis, Z. (2006). Evaluation of construction sustainability by multiple criteria methods. Technological and Economic Development of Economy, 12(4), 321–326.
  • Sarma, K.C., & Adeli, H. (2000). Fuzzy discrete multicriteria cost optimization of steel structures. Journal of Structural Engineering, 126(11), 1339–1347.
  • Sasmal, S., Ramanjaneyulu, K., & Lakshmanan, N. (2007). Priority ranking towards condition assessment of existing reinforced concrete bridges. Structure and Infrastructure Engineering, 3(1), 75–89.
  • Sawicki, P., Zak, J., & Redmer, A. (1999). The comparison of ELECTRE, ORESTE and MAPPAC methods applied to the quality evaluation of transportation systems. Papers of the International Conference on Modelling and Management in Transportation, Poznan, Krakow, 223-229.
  • Selih, J., Kne, A., Srdic, A., & Zura, M. (2008). Multiple-criteria decision support system in highway infrastructure management. Transport, 23(4), 299–305.
  • Semaan, N., & Zayed, T. (2009). Subway station diagnosis index condition assessment model. Journal of Infrastructure Systems, 15(3), 222–231.
  • Semaan, N., & Zayed, T. (2010). A stochastic diagnostic model for subway stations. Tunnelling and Underground Space Technology, 25(1), 32–41.
  • Shafike, N.G., Duckstein, L., & Maddock, T. (1992). Multicriterion analysis of groundwater contamination management. Water Resources Bulletin, 28(1), 33–43.
  • Shahriar, A., Sadiq, R., & Tesfamariam, S. (2012). Risk analysis for oil & gas pipelines: A sustainability assessment approach using fuzzy based bow-tie analysis. Journal of Loss Prevention in the Process Industries, 25(3), 505–523.
  • Shang, J.S., Tjader, Y., & Ding, Y. (2004). A unified framework for multicriteria evaluation of transportation projects. IEEE Transactions on Engineering Management, 51(3), 300–313.
  • Shapira, A., & Goldenberg, M. (2005). AHP-based equipment selection model for construction projects. Journal of Construction Engineering and Management, 131(12), 1263–1273.
  • Sharifi, M.A., & Rodriguez, E. (2002). Design and development of a planning support system for policy formulation in water resources rehabilitation; the case of Alcazar De San Juan District in Aquifer 23, La Mancha, Spain. Journal of Hydroinformatics, 4(3), 157–175.
  • Sharma, V., Al-Hussein, M., Safouhi, H., & Bouferguene, A. (2008). Municipal infrastructure asset levels of service assessment for investment decisions using analytic hierarchy process. Journal of Infrastructure Systems, 14(3), 193–200.
  • Shelton, J., & Medina, M. (2010). Integrated multiple-criteria decision-making method to prioritize transportation projects. Transportation Research Record, 2174, 51–57.
  • Shiau, J.T., & Lee, H.C. (2005). Derivation of optimal hedging rules for a water-supply reservoir through compromise programming. Water Resources Management, 19(2), 111–132.
  • Shook, D.A., Roschke, P.N., Lin, P.Y., & Loh, C.H. (2008). GA-optimized fuzzy logic control of a large-scale building for seismic loads. Engineering Structures, 30(2), 436–449.
  • Shu-Kuang, N., & Chang, N.B. (2005). Screening the relocation strategies of water quality monitoring stations by compromise programming. Journal of the American Water Resources Association, 41(5), 1039–1052.
  • Sidek, L.M., Basri, H., & Zalaluddin, Z. (2008). Development of decision support tools for urban storm drainage. Proceedings of international conference on construction and building technology (pp. 349–362). Kuala Lumpur, Malaysia.
  • Silva, V.B.S., Morais, D.C., & Almeida, A.T. (2010). A multicriteria group decision model to support watershed committees in Brazil. Water Resources Management, 24(14), 4075–4091.
  • Simon, U., Bruggemann, R., Behrendt, H., Shulenberger, E., & Pudenz, S. (2006). METEOR: A step-by-step procedure to explore effects of indicator aggregation in multi criteria decision aiding-application to water management in Berlin, Germany. Acta Hydrochim Hydrobiol, 34(1–2), 126–136.
  • Simon, U., Bruggemann, R., Mey, S., & Pudenz, S. (2005). METEOR – Application of a decision support tool based on discrete mathematics. Match-Communications in Mathematical and in Computer Chemistry, 54(3), 623–642.
  • Simon, U., Bruggemann, R., & Pudenz, S. (2004). Aspects of decision support in water management-example Berlin and Potsdam (Germany) I – Spatially differentiated evaluation. Water Research, 38(7), 1809–1816.
  • Simonovic, S.P., & Nirupama, A. (2005). spatial multi-objective decision-making under uncertainty for water resources management. Journal of Hydroinformatics, 7(2), 117–133.
  • Skibniewski, M., & Chao, L. (1992). Evaluation of advanced construction technology with AHP method. Journal of Construction Engineering and Management, 118(3), 577–593.
  • Srdjevic, B. (2007). Linking analytic hierarchy process and social choice methods to support group decision-making in water management. Decision Support Systems, 42(4), 2261–2273.
  • Srdjevic, Z., Bajcetic, R., & Srdjevic, B. (2012). Identifying the criteria set for multicriteria decision making based on SWOT/PESTLE analysis: A case study of reconstructing a water intake structure. Water Resources Management, 26(12), 3379–3393.
  • Srdjevic, B., Medeiros, Y.D.P., & Faria, A.S. (2004). An objective multi-criteria evaluation of water management scenarios. Water Resources Management, 18(1), 35–54.
  • Steuer, R.E., & Na, P. (2003). Multiple criteria decision making combined with finance: A categorized bibliographic study. European Journal of Operational Research, 150(3), 496–515.
  • Su, C.W., Cheng, M.Y., & Lin, K.S. (2002). Data preprocessing for ranking of projects-a case study of rail transportation investment. Proceedings of the 17th conference of transportation association (pp. 1015–1026). Chiayi, Taiwan.
  • Su, C.W., Cheng, M.Y., & Lin, F.B. (2006). Simulation-enhanced approach for ranking major transport projects. Journal of Civil Engineering and Management, 12(4), 285–291.
  • Sun, L., & Gu, W. (2011). Pavement condition assessment using fuzzy logic theory and analytic hierarchy process. Journal of Transportation Engineering, 137(9), 648–655.
  • Tabucanon, M.T., & Lee, H. (1995). Multiple criteria evaluation of transportation system improvement projects: The case of Korea. Journal of Advanced Transportation, 29(1), 127–134.
  • Tam, C.M., Tong, T.K.L., & Chiu, G.W.C. (2006). Comparing non-structural fuzzy decision support system and analytical hierarchy process in decision making for construction problems. European Journal of Operational Research, 174(2), 1317–1324.
  • Tecle, A. (1992). Selecting a multicriterion decision making technique for watershed resources management. Water Resources Bulletin, 28(1), 129–140.
  • Tecle, A., Fogel, M., & Duckstein, L. (1988). Multicriterion selection of wastewater management alternatives. Journal of Water Resources Planning and Management, 114(4), 383–398.
  • Tesfamariam, S., & Sadiq, R. (2006). Risk-based environmental decision-making using fuzzy analytic hierarchy process (F-AHP). Stochastic Environmental Research and Risk Assessment, 21(1), 35–50.
  • Tesfamariam, S., Sadiq, R., & Najjaran, H. (2010). Decision-making under uncertainty – An example for seismic risk management. Risk Analysis, 30(1), 78–94.
  • Tesfamariam, S., & Sanchez-Silva, M. (2011). Fuzzy model of the life-cycle analysis of building in seismic regions. Civil Engineering and Environmental Systems, 28(3), 261–278.
  • Thiel, T. (2006). A proposal of defining participant preferences in a decision aiding process with the participant representing a collective body. Technological and Economic Development of Economy, 12(3), 257–262.
  • Thomaidis, F., & Mavrakis, D. (2006). Optimum route of the south transcontinental gas pipeline in SE Europe using AHP. Journal of Multi-Criteria Decision Analysis, 14(1–3), 77–88.
  • Tille, M., & Dumont, A.G. (2003). The multicriteria decision making methods: A practical tool for design a sustainability road infrastructure. Proceedings of the XXIInd PIARC World Road Congress, Durban, South Africa.
  • Tkach, R.J., & Simonovic, S.P. (1997). A new approach to multi-criteria decision making in water resources. Journal of Geographic Information and Decision Analysis, 1(1), 25–43.
  • Tracz, M., & Wawrzynkiewicz, B. (1993). Knowledge acquisition from multiple experts: A case of transport planning in Poland. Expert system in environmental planning (pp. 261–274). Berlin, Heidelberg: Springer-Verlag.
  • Triantaphyllou, E. (2001). Multi-criteria decision making methods: A comparative study. Brussels: Kluwer Academic Publishers.
  • Trojan, F., & Morais, D.C. (2012). Prioritising alternatives for maintenance of water distribution networks: A group decision approach. Water Research Commission, 38(4), 555–564.
  • Tsamboulas, D., Yiotis, G.S., & Panou, K.D. (1999). Use of multicriteria methods for assessment of transport projects. Journal of Transportation Engineering, 125(5), 407–414.
  • Ugwu, O.O., Kumaraswamy, M.M., Wong, A., & Ng, S.T. (2006). Sustainability appraisal in infrastructure projects (SUSAIP). Part 1: Development of indicators and computational methods. Automation in Construction, 15(2), 239–251.
  • Ulengin, F., Ilker Topcu, Y., & Sahin, S.O. (2001). An integrated decision aid system for Bosphorus water-crossing problem. European Journal of Operational Research, 134(1), 179–192.
  • Wang, N. (2011). Multi-criteria decision-making model for whole life costing design. Structure and Infrastructure Engineering, 7(6), 441–452.
  • Wang, F., Kang, S., Du, T., Li, F., & Qiu, R. (2011b). Determination of comprehensive quality index for tomato and its response to different irrigation treatments. Agricultural Water Management, 98(8), 1228–1238.
  • Wei-zhuo, S., Bing-sheng, L., & Li, L. (2010). Bid evaluation model design for construction project based on fuzzy-TOPSIS. Proceedings of International Conference on E-Product E-Service and E-Entertainment (ICEEE) (pp. 1–4). Guangzhou, China.
  • Won, J. (1990). Multicriteria evaluation approaches to urban transportation projects. Urban Studies, 27(1), 119–138.
  • Wong, J., Li, H., & Lai, J. (2008). Evaluating the system intelligence of the intelligent building systems. Part 1: Development of key intelligent indicators and conceptual analytical framework. Automation in Construction, 17(3), 284–302.
  • Xie, P. (2008). Development ranking in real estate strategy management in China based on TOPSIS method. ISECS International Colloquium on Computing, Communication, Control, and Management Guangzhou, China (Vol. 3) (pp. 254–258)
  • Yadollahi, M., & Zin, R.M. (2012). Multi-strategy budget allocation decision support system for seismic rehabilitation of road infrastructure. Structure and Infrastructure Engineering, Advance online publication. doi: https://doi.org/10.1080/15732479.2012.737810.
  • Yan, J.M., & Vairavamoorthy, K. (2003). Fuzzy approach for pipe condition assessment. Proceedings of International Conference on Pipeline Engineering and Construction , Baltimore, MD, USA (pp. 466–476)
  • Yang, S.I., Frangopol, D.M., Kawakami, Y., & Neves, L.C. (2006a). The use of lifetime functions in the optimization of interventions on existing bridges considering maintenance and failure costs. Reliability Engineering & System Safety, 96(6), 698–705.
  • Yang, S.I., Frangopol, D.M., & Neves, L.C. (2006b). Optimum maintenance strategy for deteriorating bridge structures based on lifetime functions. Engineering Structures, 28(2), 196–206.
  • Yazdani, M., Alidoosti, A., & Basiri, M.H. (2012). Risk analysis for critical infrastructures using fuzzy TOPSIS. Journal of Management Research, 4(1), 1–19.
  • Yedla, S., & Shrestha, P.M. (2003). Multi-criteria approach for the selection of alternative options for environmentally sustainable transport system in Delphi. Transportation Research Part A: Policy and Practice, 37(8), 717–729.
  • Yilmaz, B., & Harmancioglu, N.B. (2010). Multi-criteria decision making for water resource management: A case study of the Gediz River Basin, Turkey. Water SA, 36(5), 563–576.
  • Yoon, K.P., & Hwang, C.L. (1995). Multiple attribute decision making. Thousand Oaks, CA: Sage Publication.
  • Young, K.D., Younos, T., & Randel, L. (2010). Application of the analytic hierarchy process for selecting and modeling stormwater best management practices. Journal of Contemporary Water Research & Education, 146(1), 50–63.
  • Youssef, M.A., Anumba, C.J., & Thorpe, T. (2005). Intelligent selection of concrete bridge construction methods in Egypt. International Conference on Computing in Civil Engineering, Cancun, Mexico.
  • Yu, W. (1992). ELECTRE TRI: Aspects methodologiques et manuel dutilisation, Document du LAMSADE 74, University Paris-Dauphine.
  • Zak, J. (2011). The methodology of multiple criteria decision making/aiding in public transportation. Journal of Advanced Transportation, 45(1), 1–20.
  • Zak, J., Bozek, M., & Cieslik, R. (1997). Multiple criteria method for the selection of the means of transport for the mass transit system. Proceedings of the scientific conference: Transportation problems in metropolitan areas under congestion (pp. 84–90). Poznan.
  • Zandi, F., & Tavana, M. (2011). An optimal investment scheduling framework for intelligent transportation systems architecture. Journal of Intelligent Transportation Systems, 15(3), 115–132.
  • Zardari, N.H., Cordery, I., & Sharma, A. (2010). An objective multiattribute analysis approach for allocation of scarce irrigation water resources. Journal of the American Water Resources Association, 46(2), 412–428.
  • Zarghami, M. (2010). Urban water management using fuzzy-probabilistic multi-objective programming with dynamic efficiency. Water Resources Management, 24(15), 4491–4504.
  • Zarghami, M., Abrishamchi, A., & Ardakanian, R. (2008). Multi-criteria decision making for integrated urban water management. Water Resources Management, 22(8), 1017–1029.
  • Zarghaami, M., Ardakanian, R., & Memariani, A. (2007). Fuzzy multiple attribute decision making on water resources projects case study: Ranking water transfers to Zayanderud basin in Iran. Water International, 32(2), 280–293.
  • Zarghami, M., & Szidarovszky, F. (2009). Stochastic-fuzzy multi criteria decision making for robust water resources management. Stochastic Environmental Research and Risk Assessment, 23(3), 329–339.
  • Zarghami, M., & Szidarovszky, F. (2010). On the relation between compromise programming and ordered weighted averaging operator. Information Sciences, 180(11), 2239–2248.
  • Zavadskas, E.K., & Antucheviciene, J. (2004). Evaluation of buildings' redevelopment alternatives with an emphasis on the multipartite sustainability. International Journal of Strategic Property Management, 8(2), 121–128.
  • Zavadskas, E.K., & Antucheviciene, J. (2006). Development of an indicator model and ranking of sustainable revitalization alternatives of derelict property: A Lithuanian case study. Sustainable Development, 14(5), 287–299.
  • Zeng, G., Jiang, R., Huang, G., Xu, M., & Li, J. (2006). Optimization of wastewater treatment alternatives by hierarchy grey relational analysis. Journal of Environmental Management, 82(2), 250–259.
  • Zeleny, M. (1982). Multiple criteria decision making. New York: McGraw-Hill.
  • Zhang, C., & Wang, S. (2011). Comprehensive evaluation based on AHP-Fuzzy about the conception of underground container transportation lines in Shanghai. Applied Mechanics and Materials, 71-78, 175–181.
  • Zhao, H., Wu, H., Duan, T., & Li, J. (2012). Application-oriented implementation effect evaluation system of pedestrian reconstructing plans and case analysis. Procedia – Social and Behavioral Sciences, 43, 512–520.
  • Zhou, Y., Vairavamoorthy, K., & Grimshaw, F. (2009). Development of a Fuzzy based pipe condition assessment model using PROMETHEE. World environmental and water resources congress (pp. 4809–4818). Kansas City, Missouri, USA.
  • Ziara, M., Nigim, K., Enshassi, A., & Ayyub, B.M. (2002). Strategic implementation of infrastructure priority projects: Case study in Palestine. Journal of Infrastructure Systems, 8(1), 2–11.
  • Zimmermann, H. (1996). Fuzzy sets, decision making and expert systems. New York: McGraw-Hill.

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