Pricing and location decisions in multi-objective facility location problem with M/M/m/k queuing systems

References

• Aboolian, R., O. Berman, and Z. Drezner. 2009. “The Multiple Server Center Location Problem.” Annals of Operations Research 167: 337–352. doi: 10.1007/s10479-008-0341-2
   Web of Science ®Google Scholar
• Abouee-Mehrizi, H., S. Babri, O. Berman, and H. Shavandi. 2011. “Optimizing Capacity, Pricing and Location Decisions on a Congested Network with Balking.” Mathematical Methods of Operations Research 74 (2): 233–255. doi: 10.1007/s00186-011-0361-6
   Web of Science ®Google Scholar
• Basarcil, E., F. Karaesmen, and E. Lerzan Örmeci. 2011. “Dynamic Pricing and Scheduling in a Multi-class Single-Server Queueing System.” Queueing Systems 67: 305–331. doi: 10.1007/s11134-011-9214-5
   Web of Science ®Google Scholar
• Berman, O., and Z. Drezner. 2007. “The Multiple Server Location Problem.” Journal of the Operational Research Society 58: 91–99. doi: 10.1057/palgrave.jors.2602126
   Web of Science ®Google Scholar
• Berman, O., and D. Krass. 2001. “Facility Location Problems with Stochastic Demands and Congestion.” In Facility Location: Applications and Theory, edited by Z. Drezner and H. W. Hamacher, 329–372. Berlin: Springer.
   Google Scholar
• Berman, O., and R. Larson. 1985. “Optimal 2-Facility Network Districting in the Presence of Queuing.” Transportation Science 19: 261–277. doi: 10.1287/trsc.19.3.261
   Web of Science ®Google Scholar
• Berman, O., D. Tong, and D. Krass. 2010. “Pricing, Location and Capacity Planning with Elastic Demand and Congestion.” Working paper. University of Toronto.
   Google Scholar
• Bhattacharya, R., and S. Bandyopadhyay. 2010. “Solving Conflicting Bi-objective Facility Location Problem by NSGA-II Evolutionary Algorithm.” The International Journal of Advanced Manufacturing Technology 51: 397–414. doi: 10.1007/s00170-010-2622-6
   Web of Science ®Google Scholar
• Boffey, B., R. Galvao, and L. Espejo. 2007. “A Review of Congestion Models in the Location of Facilities with Immobile Servers.” European Journal of Operational Research 178: 643–662. doi: 10.1016/j.ejor.2006.04.044
   Web of Science ®Google Scholar
• Boloori Arabania, A., and R. Zanjirani Farahani. 2012. “Facility Location Dynamics: An Overview of Classifications and Applications.” Computers & Industrial Engineering 62: 408–420. doi: 10.1016/j.cie.2011.09.018
   Web of Science ®Google Scholar
• Boyaci, T., and S. Ray. 2003. “Product Differentiation and Capacity Cost Interaction in Time and Price Sensitive Markets.” Manufacturing Service and Operations Management 5 (1): 18–36. doi: 10.1287/msom.5.1.18.12757
   Google Scholar
• Cadenas, J. M., M. J. Canós, M. C. Garrido, C. Ivorra, and V. Liern. 2011. “Soft-Computing Based Heuristics for Location on Networks: The p-Median Problem.” Applied Soft Computing 11 (2): 1540–1547. doi: 10.1016/j.asoc.2008.03.015
   Web of Science ®Google Scholar
• Chambari, A., S. H. R. Rahmati, A. A. Najafi, and A. Karimi. 2012. “A Bi-objective Model to Optimize Reliability and Cost of System with a Choice of Redundancy Strategies.” Computers & Industrial Engineering 63: 109–119. doi: 10.1016/j.cie.2012.02.004
   Web of Science ®Google Scholar
• Chambari, A. H., S. H. Rahmaty, V. Hajipour, and A. Karimi. 2011. “A Bi-objective Model for Location-Allocation Problem within Queuing Framework.” World Academy of Science. Engineering and Technology 78: 138–145.
   Google Scholar
• Coello Coello, A., G. B. Lamont, and D. A. Van Veldhuizen. 2007. Evolutionary Algorithms for Solving Multi-objective Problems. 2nd ed. New York: Springer.
   Google Scholar
• Deb, K., A. Pratap, S. Agarwal, and T. Meyarivan. 2002. “A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II.” IEEE Transactions on Evolutionary Computation 6: 182–197. doi: 10.1109/4235.996017
   Web of Science ®Google Scholar
• Doerner, K., A. Focke, and W. J. Gutjahr. 2007. “Multicriteria Tour Planning for Mobile Healthcare Facilities in a Developing Country.” European Journal of Operational Research 179: 1078–1096. doi: 10.1016/j.ejor.2005.10.067
   Web of Science ®Google Scholar
• Geroliminis, N., M. G. Karlaftis, and A. Skabardonis. 2009. “A Spatial Queuing Model for the Emergency Vehicle Districting and Location Problem.” Transportation Research Part B: Methodological 43: 798–811. doi: 10.1016/j.trb.2009.01.006
   Web of Science ®Google Scholar
• Gross, D., and C. M. Harris. 1988. Fundamentals of Queuing Theory. 3rd ed. New York: Wiley Interscience.
   Google Scholar
• Hajipour, V., P. Fattahi, M. Tavana, and D. Di Caprio. 2016. “Multi-objective Multi-layer Congested Facility Location-Allocation Problem Optimization with Pareto-Based Meta-heuristics.” Applied Mathematical Modelling, 40 (7): 4948–4969. doi:10.1016/j.apm.2015.12.013.
   Web of Science ®Google Scholar
• Hajipour, V., V. Khodakarami, and M. Tavana. 2014. “The Redundancy Queuing-Location-Allocation Problem: A Novel Approach.” IEEE Transactions on Engineering Management 61 (3): 534–544. doi: 10.1109/TEM.2014.2317760
   Web of Science ®Google Scholar
• Hajipour, V., E. Mehdizadeh, and R. Tavakkoli-Moghaddam. 2014. “A Novel Pareto-Based Multi-objective Vibration Damping Optimization Algorithm to Solve Multi-objective Optimization Problems.” Scientia Iranica—Transaction E 21 (6): 2368–2378.
   Web of Science ®Google Scholar
• Hajipour, V., and S. H. R. Pasandideh. 2011. “A New Multi-objective Facility Location Model within Batch Arrival Queuing Framework.” World Academy of Science, Engineering and Technology 78: 1665–1673.
   Google Scholar
• Hajipour, V., and S. H. R. Pasandideh. 2012. “Proposing an Adaptive Particle Swarm Optimization for a Novel Bi-objective Queuing Facility Location Model.” Economic Computation and Economic Cybernetics Studies and Research 46 (3): 233–240.
   Web of Science ®Google Scholar
• Hajipour, V., S. H. A. Rahmati, S. H. R. Pasandideh, and S. T. A. Niaki. 2014. “A Multi-objective Harmony Search Algorithm to Optimize Multi-server Location–Allocation Problem in Congested Systems.” Computer and Industrial Engineering 72: 187–197. doi: 10.1016/j.cie.2014.03.018
   Web of Science ®Google Scholar
• Hajipour, V., R. Zanjirani Farahani, and P. Fattahi. 2016. “Bi-objective Vibration Damping Optimization for Congested Location-Pricing Problem.” Computers & Operations Research 70: 87–100. doi: 10.1016/j.cor.2016.01.001
   Web of Science ®Google Scholar
• Hakimi, S. L. 1964. “Optimal Locations of Switching Centers and the Absolute Centers and Medians of a Graph.” Operation Research 12: 450–459. doi: 10.1287/opre.12.3.450
   Web of Science ®Google Scholar
• Haupt, R. L., and S. E. Haupt. 2004. Practical Genetic Algorithms. 2nd ed. New York: John Wiley & Sons.
   Google Scholar
• Hayel, Y., M. Ouarraou, and B. Tuffi. 2007. “Optimal Measurement-Based Pricing for an M/M/1 Queue.” Network and Spatial Economics 7: 177–195. doi: 10.1007/s11067-006-9001-8
   Web of Science ®Google Scholar
• Hodgson, M. J., and O. Berman. 1997. “A Billboard Location Model.” Geographical and Environmental Modeling 1: 25–43.
   Google Scholar
• Love, R. L., J. G. Morris, and G. O. Wesolowsky. 1988. Facility Location: Models and Methods. New York: North-Holland Publishing Company. (Cited by Francis R. L., Megginis L. F., and White J. A. 1992. Facility Layout and Location: An Analytical Approach. 2nd ed. Englewood Cliffs, NJ: Prentice-Hall).
   Google Scholar
• Marianov, V., and C. ReVelle. 1995. “Siting Emergency Services.” In Facility Location: A Survey of Applications and Methods, edited by Z. Drezner, 199–223. Berlin: Springer.
   Google Scholar
• MATLAB Version 7.10.0.499. R2010a. The MathWorks, Inc. Protected by US and International Patents.
   Google Scholar
• Mehdizadeh, E., and R. Tavakkoli-Moghaddam. 2009. “Vibration Damping Optimization Algorithm for an Identical Parallel Machine Scheduling Problem.” Proceedings of the 2nd International Conference of Iranian Operations Research Society. Babolsar, Iran, May 20–22.
   Google Scholar
• Mehdizadeh, E., R. Tavakkoli-Moghaddam, and M. Yazdani. 2015. “A Vibration Damping Optimization Algorithm for a Parallel Machines Scheduling Problem with Sequence-Independent Family Setup Times.” Applied Mathematical Modelling 39: 6845–6859. doi: 10.1016/j.apm.2015.02.027
   Web of Science ®Google Scholar
• Mehdizadeh, E., M. R. Tavarroth, and V. Hajipour. 2011. “A New Hybrid Algorithm to Optimize Stochastic-Fuzzy Capacitated Multi-facility Location-Allocation Problem.” Journal of Optimization in Industrial Engineering 7: 71–80.
   Google Scholar
• Melo, M. T., S. Nickel, and F. Saldanha-da-Gama. 2009. “Facility Location and Supply Chain Management—A Review.” European Journal of Operational Research 196: 401–412. doi: 10.1016/j.ejor.2008.05.007
   Web of Science ®Google Scholar
• Mousavi, S. M., V. Hajipour, S. T. A. Niaki, and N. Aalikar. 2012. “Optimizing Multi-item Multi-period Inventory Control System with Discounted Cash Flow and Inflation Approaches: Two Calibrated Meta-heuristic Algorithms.” Applied Mathematical Modelling 37 (4): 2241–2256. doi: 10.1016/j.apm.2012.05.019
   Web of Science ®Google Scholar
• Mousavi, S. M., R. Tavakkoli-Moghaddam, and F. Jolai. 2013. “A Possibilistic Programming Approach for the Location Problem of Multiple Cross-docks and Vehicle Routing Scheduling under Uncertainty.” Engineering Optimization 45 (10): 1223–1249. doi: 10.1080/0305215X.2012.729053
   Web of Science ®Google Scholar
• Najafi, A. A., S. T. A. Niaki, and A. Shahsavar. 2009. “A Parameter-Tuned Genetic Algorithm for the Resource Investment Problem with Discounted Cash Flows and Generalized Precedence Relations.” Computer and Operations Research 36: 2994–3001. doi: 10.1016/j.cor.2009.01.016
   Web of Science ®Google Scholar
• Pangburn, M. S., and E. Stavrulaki. 2008. “Capacity and Price Setting for Dispersed, Time-Sensitive Customer Segments.” European Journal of Operational Research 184: 1100–1121. doi: 10.1016/j.ejor.2006.11.044
   Web of Science ®Google Scholar
• Pasandideh, S. H. R., and S. T. A. Niaki. 2012. “Genetic Application in a Facility Location Problem with Random Demand within Queuing Framework.” Journal of Intelligent Manufacturing 23: 651–659. doi: 10.1007/s10845-010-0416-1
   Web of Science ®Google Scholar
• Pasandideh, S. H. R., S. T. A. Niaki, and V. Hajipour. 2013. “A Multi-objective Facility Location Model with Batch Arrivals: Two Parameter-Tuned Meta-heuristic Algorithms.” Journal of Intelligent Manufacturing 24: 331–348. doi: 10.1007/s10845-011-0592-7
   Web of Science ®Google Scholar
• Peace, G. S. 1993. Taguchi Methods: A Hands-On Approach. Reading, MA: Addison-Wesley.
   Google Scholar
• Ray, S., and E. M. Jewkes. 2004. “Customer Lead Time Management when Both Demand and Price are Lead Time Sensitive.” European Journal of Operational Research 153 (3): 769–781. doi: 10.1016/S0377-2217(02)00655-0
   Web of Science ®Google Scholar
• Shavandi, H., and H. Mahlooji. 2006. “A Fuzzy Queuing Location Model with a Genetic Algorithm for Congested Systems.” Applied Mathematics and Computation 181: 440–456. doi: 10.1016/j.amc.2005.12.058
   Web of Science ®Google Scholar
• Son, J. D. 2008. “Optimal Admission and Pricing Control Problem with Deterministic Service Times and Side- Line Profit.” Queueing Systems 60: 71–85. doi: 10.1007/s11134-008-9087-4
   Web of Science ®Google Scholar
• Syam, S. S. 2008. “A Multiple Server Location–Allocation Model for Service System Design.” Computers and Operations Research 35: 2248–2265. doi: 10.1016/j.cor.2006.10.019
   Web of Science ®Google Scholar
• Teimoury, E., M. Modarres, A. Kazeruni Monfared, and M. Fathi. 2011. “Price, Delivery Time, and Capacity Decisions in an M/M/1 Make-to-Order/Service System with Segmented Market.” International Journal of Advanced Manufacturing Technology 57: 235–244. doi: 10.1007/s00170-011-3261-2
   Web of Science ®Google Scholar
• Toregas, C., R. Swain, C. ReVelle, and L. Bergman. 1971. “The Location of Emergency Service Facilities.” Operations Research 19: 1363–1373. doi: 10.1287/opre.19.6.1363
   Web of Science ®Google Scholar
• Vahdani, B., R. Tavakkoli-Moghaddam, F. Folai, and A. Baboli. 2013. “Reliable Design of a Closed Loop Supply Chain Network UNDER Uncertainty: An Interval-Fuzzy Possibilistic-Chance-Constrained Model.” Engineering Optimization 45 (6): 745–765. doi: 10.1080/0305215X.2012.704029
   Web of Science ®Google Scholar
• Wang, Q., R. Batta, J. Bhadury, and C. Rump. 2003. “Budget Constrained Location Problem with Opening and Closing of Facilities.” Computers & Operations Research 30: 2047–2069. doi: 10.1016/S0305-0548(02)00123-5
   Web of Science ®Google Scholar
• Wang, Q., R. Batta, and C. Rump. 2002. “Algorithms for a Facility Location Problem with Stochastic Customer Demand and Immobile Servers.” Annals of Operations Research 111: 17–34. doi: 10.1023/A:1020961732667
   Web of Science ®Google Scholar
• Yeniay, O., and B. Ankare. 2005. “Penalty Function Methods for Constrained Optimization with Genetic Algorithms.” Mathematical and Computational Application 10: 45–56.
   Google Scholar
• Yoon, S. H., and M. E. Lewis. 2004. “Optimal Pricing and Admission Control in a Queuing System with Periodically Varying Parameters.” Queueing Systems 47: 177–199.
   Google Scholar
• Zanjirani Farahani, R., N. Asgari, N. Heidari, M. Hosseinini, and M. Goh. 2012. “Covering Problems in Facility Location: A Review.” Computers & Industrial Engineering 62: 368–407. doi: 10.1016/j.cie.2011.08.020
   Web of Science ®Google Scholar
• Zanjirani Farahani, R., and M. Hekmatfar. 2009. Facility Location: Concepts, Models, Algorithms and Case Studies. Contributions to Management Science. Heidelberg: Physica-Verlag.
   Google Scholar
• Zanjirani Farahani, R., M. SteadieSeifi, and N. Asgari. 2010. “Multiple Criteria Facility Location Problems: A Survey.” Applied Mathematical Modelling 34: 1689–1709. doi: 10.1016/j.apm.2009.10.005
   Web of Science ®Google Scholar
• Zarrinpoor, N., and M. Seifbarghy. 2011. “A Competitive Location Model to Obtain a Specific Market Share While Ranking Facilities by Shorter Travel Time.” The International Journal of Advanced Manufacturing Technology 55: 807–816. doi: 10.1007/s00170-010-3098-0
   Web of Science ®Google Scholar
• Zitzler, E. 1999. “Evolutionary Algorithms for Multiobjective Optimization: Method and Applications.” Ph.D. Thesis, dissertation ETH NO. 13398, Swiss Federal Institute of Technology, Zurich, Switzerland.
   Google Scholar
• Zitzler, E., and L. Thiele. 1998. “Multiobjective Optimization Using Evolutionary Algorithms—A Comparative Case Study.” In Fifth International Conference on Parallel Problem Solving from Nature (PPSN-V), edited by A. E. Eiben, T. Back, M. Schoenauer, and H. P. Schwefel, 292–301. Berlin: Springer.
   Google Scholar