Self-adaptive multi-objective harmony search for optimal design of water distribution networks

References

• Abbass, H., R. Sarker, and C. Newton. 2001. “PDE: A Pareto-Frontier Differential Evolution Approach for Multi-objective Optimization Problems.” In Evolutionary Computation, 2001. Proceedings of the 2001 Congress 2: 971–978.
   Google Scholar
• Alperovits, E., and U. Shamir. 1977. “Design of Optimal Water Distribution Systems.” Water Resources Research 13 (6): 885–900. doi: 10.1029/WR013i006p00885
   Web of Science ®Google Scholar
• Chang-ming, X., and Y. Lin. 2012. “Research on adjustment strategy of PAR in harmony search algorithm.” International Conference on Automatic Control and Artificial Intelligence (ACAI 2012) 2012: 1705–1708. doi: 10.1049/cp.2012.1315
   Google Scholar
• Chen, H. P., F. Gu, B. Y. Lu, and C. S. Gu. 2006. “Application of Self-Adaptive Multi-objective Genetic Algorithm in Flexible Job Shop Scheduling." Journal of System Simulation 8: 53–63. doi: 10.1057/palgrave.jos.4250009
   Google Scholar
• Deb, K. 2001. “Multi-objective Optimization Using Evolutionary Algorithms.” Wiley, Chichester, UK 16: 315–338.
   Google Scholar
• Deb, K., S. Agrawal, A. Pratap, and T. Meyarivan. 2000. “A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimization: NSGA-II.” Lecture Notes in Computer Science 1917: 849–858. doi: 10.1007/3-540-45356-3_83
   Google Scholar
• Fonseca, C. M., and P. J. Fleming. 1993. “Genetic Algorithms for Multiobjective Optimization: Formulation Discussion and Generalization.” ICGA 93: 416–423.
   Google Scholar
• Fujiwara, O., and D. B. Khang. 1990. “A Two Phase Decomposition Method for Optimal Design of Looped Water Distribution Networks.” Water Resources Research 26 (4): 539–549. doi: 10.1029/WR026i004p00539
   Web of Science ®Google Scholar
• Geem, Z. W., and K. B. Sim. 2010. “Parameter-Setting-Free Harmony Search Algorithm.” Applied Mathematics and Computation 217 (8): 3881–3889. doi: 10.1016/j.amc.2010.09.049
   Web of Science ®Google Scholar
• Geem, Z. W., J. H. Kim, and G. V. Loganathan. 2001. “A New Heuristic Optimization Algorithm: Harmony Search.” Simulation 76 (2): 60–68. doi: 10.1177/003754970107600201
   Google Scholar
• Gessler, J., and T. M. Walski. 1985. “Water Distribution System Optimization (No. WES/TR/EL-85-11).” Army Engineer Waterways Experiment Station Vicksburg MS Environmental Lab.
   Google Scholar
• Halhal, D., G. Walters, D. Savic, and D. Ouazar. 1999. “Scheduling of Water Distribution System Rehabilitation Using Structured Messy Genetic Algorithms." Evolutionary Computation 7 (3): 311–329. doi: 10.1162/evco.1999.7.3.311
   PubMed Web of Science ®Google Scholar
• Huang, V. L., S. Z. Zhao, R. Mallipeddi, and P. N. Suganthan. 2009. “ Multi-objective Optimization Using Self-Adaptive Differential Evolution Algorithm.” In Evolutionary Computation, IEEE Congress on: 190–194.
   Google Scholar
• Keedwell, E. C., and S. T. Khu. 2003. “More Choices in Water System Design Through Hybrid Optimisation.” In Proceedings International Conference on Computing and Control for the Water Industry: 257–264.
   Google Scholar
• Kim, J. H., Z. W. Geem, and E. S. Kim. 2001. “Parameter Estimation of the Nonlinear Muskingum Model Using Harmony Search.” Journal of the American Water Resources Association 37 (5): 1131–1138. doi: 10.1111/j.1752-1688.2001.tb03627.x
   Web of Science ®Google Scholar
• K-Water. 2010. “Water Facilities Construction Cost Estimation Report.” K-Water.
   Google Scholar
• Mahdavi, M., M. Fesanghary, and E. Damangir. 2007. “An improved harmony search algorithm for solving optimization problems.” Applied mathematics and computation 188 (2): 1567–1579. doi: 10.1016/j.amc.2006.11.033
   Web of Science ®Google Scholar
• Omran, M. G., and M. Mahdavi. 2008. “Global-best harmony search.” Applied mathematics and computation 198 (2): 643–656. doi: 10.1016/j.amc.2007.09.004
   Web of Science ®Google Scholar
• Ostfeld, A., N. Oliker, and E. Salomons. 2013. “Multiobjective Optimization for Least Cost Design and Resiliency of Water Distribution Systems." Journal of Water Resources Planning and Management 140 (12): 1943–5452.
   Web of Science ®Google Scholar
• Pan, Q. K., P. N. Suganthan, M. F. Tasgetiren, and J. J. Liang. 2010. “A self-adaptive global best harmony search algorithm for continuous optimization problems.” Applied Mathematics and Computation 216 (3): 830–848. doi: 10.1016/j.amc.2010.01.088
   Web of Science ®Google Scholar
• Prasad Nepal, M., and M. Park. 2004. “Downtime Model Development for Construction Equipment Management Engineering.” Construction and Architectural Management 11 (3): 199–210. doi: 10.1108/09699980410535804
   Google Scholar
• Rossman, L. 2000. EPANet2 User’s Manual. Washington, DC: US Environmental Protection Agency.
   Google Scholar
• Schaffer, J. D. 1985. “Multiple Objective Optimization with Vector Evaluated Genetic Algorithms.” In Proceedings of International Conference on Genetic Algorithms and Their Applications, edited by J. J. Grefenstette, 93–100. Hillsdale, NJ: Lawrence Erlbaum Associates.
   Google Scholar
• Schott, J. R. 1995. “Fault Tolerant Design Using Single and Multicriteria Genetic Algorithm Optimization (No. AFIT/CI/CIA-95-039).” Air Force Institute of Tech Wright-Patterson AFB OH.
   Google Scholar
• Shamir, U., and C. D. Howard. 1968. “Water distribution systems analysis.” Journal of the Hydraulics Division 94 (1): 219–234.
   Google Scholar
• Tessema, B., and G. G. Yen. 2006. A Self-Adaptive Penalty Function Based Algorithm for Constrained Optimization. In Evolutionary Computation, IEEE Congress on: 246–253.
   Google Scholar
• Todini, E. 2000. “Looped Water Distribution Networks Design Using a Resilience Index Based Heuristic Approach.” Urban Water 2 (2): 115–122. doi: 10.1016/S1462-0758(00)00049-2
   Google Scholar
• Van Veldhuizen, D. A., and G. B. Lamont. 1998. “Multiobjective evolutionary algorithm research: A history and analysis.” Technical Report TR-98-03, Department of Electrical and Computer Engineering, Graduate School of Engineering, Air Force Institute of Technology, Wright-Patterson AFB, Ohio.
   Google Scholar
• Wang, Q., M. Guidolin, D. Savic, and Z. Kapelan. 2015. “Two-Objective Design of Benchmark Problems of a Water Distribution System via MOEAs: Towards the Best-Known Approximation of the True Pareto Front." Journal of Water Resources Planning and Management 141 (3): 04014060. doi:doi: 10.1061/(ASCE)WR.1943-5452.0000460
   Web of Science ®Google Scholar
• Yoo, D. G., H. M. Lee, A. Sadollah, and J. H. Kim. 2015. “Optimal Pipe Size Design for Looped Irrigation Water Supply System Using Harmony Search: Saemangeum Project Area.” The Scientific World Journal 2015: 651763. doi:doi: 10.1155/2015/651763
   Google Scholar
• Zitzler, E. 1999. Vol. 63 of Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications. Ithaca: Shaker.
   Google Scholar
• Zitzler, E., K. Deb, and L. Thiele. 2000. “Comparison of Multiobjective Evolutionary Algorithms: Empirical Results.” Evolutionary Computation 8 (2): 173–195. doi: 10.1162/106365600568202
   PubMed Web of Science ®Google Scholar