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Decomposition based Multi Objective Evolutionary Algorithms for Design of Large-Scale Water Distribution Networks

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  • J. Yazdi

    (Shahid Beheshti University)

Abstract

In last two decades, multiobjective evolutionary algorithms (MOEAs) have shown their merit for solving different optimization problems within the context of water resources and environmental engineering. MOEAs mainly use the concept of Pareto dominance for obtaining the trade-off solutions considering different criteria. A new alternative method for solving multiobjective problems is multiobjective evolutionary algorithm based on decomposition (MOEA/D) which uses scalarizing the objective functions. In this paper, decomposition strategies are developed for the large-scale water distribution network (WDN) design problems by integrating the concepts of harmony search (HS) and genetic algorithm (GA) within the MOEA/D framework. The proposed algorithms are then compared with two well-known non-dominance based MOEAs: NSGA2 and SPEA2 across four different WDN design problems. Experimental results show that MOEA/D outperform the Pareto dominance methods in terms of both non-domination and diversity criteria. MOEA/D-HS in particular could provide very high quality solutions with a uniform distribution along the Pareto front preserving the diversity and dominating the solutions of the other algorithms. It suggests that decomposition based multiobjective evolutionary algorithms are very promising in dealing with complicated large-scale WDN design problems.

Suggested Citation

  • J. Yazdi, 2016. "Decomposition based Multi Objective Evolutionary Algorithms for Design of Large-Scale Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(8), pages 2749-2766, June.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:8:d:10.1007_s11269-016-1320-z
    DOI: 10.1007/s11269-016-1320-z
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    References listed on IDEAS

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    1. Ali Haghighi & Hossein Samani & Zeinab Samani, 2011. "GA-ILP Method for Optimization of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(7), pages 1791-1808, May.
    2. Milan Cisty, 2010. "Hybrid Genetic Algorithm and Linear Programming Method for Least-Cost Design of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(1), pages 1-24, January.
    3. Akbar Shirzad & Massoud Tabesh & Moharram Heidarzadeh, 2015. "A New Method for Quasi-Optimal Design of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5295-5308, November.
    4. J. Reca & J. Martínez & C. Gil & R. Baños, 2008. "Application of Several Meta-Heuristic Techniques to the Optimization of Real Looped Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1367-1379, October.
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    Cited by:

    1. J. Yazdi & M. Sabbaghian Moghaddam & B. Saghafian, 2018. "Optimal Design of Check Dams in Mountainous Watersheds for Flood Mitigation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(14), pages 4793-4811, November.
    2. Marzieh Mozafari & Alireza Zabihi, 2020. "Robust Water Supply Chain Network Design under Uncertainty in Capacity," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4093-4112, October.
    3. J. Yazdi & A. Hokmabadi & M. R. JaliliGhazizadeh, 2019. "Optimal Size and Placement of Water Hammer Protective Devices in Water Conveyance Pipelines," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(2), pages 569-590, January.
    4. Feifei Zheng & Zhexian Qi & Weiwei Bi & Tuqiao Zhang & Tingchao Yu & Yu Shao, 2017. "Improved Understanding on the Searching Behavior of NSGA-II Operators Using Run-Time Measure Metrics with Application to Water Distribution System Design Problems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(4), pages 1121-1138, March.
    5. J. Yazdi, 2019. "Optimal Operation of Urban Storm Detention Ponds for Flood Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(6), pages 2109-2121, April.
    6. J. Yazdi & A. Moridi, 2018. "Multi-Objective Differential Evolution for Design of Cascade Hydropower Reservoir Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(14), pages 4779-4791, November.
    7. J. Yazdi, 2018. "Improving Urban Drainage Systems Resiliency Against Unexpected Blockages: A Probabilistic Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(14), pages 4561-4573, November.

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    Keywords

    MOEA/D; Water distribution network; NSGA2; Optimization; MOEA;
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