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Multiobjective Memetic Algorithm Applied to the Optimisation of Water Distribution Systems

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  • Euan Barlow
  • Tiku Tanyimboh

Abstract

Finding low-cost designs of water distribution systems (WDSs) which satisfy appropriate levels of network performance within a manageable time is a complex problem of increasing importance. A novel multi-objective memetic algorithm (MA) is introduced as a solution method to this type of problem. The MA hybridises a robust genetic algorithm (GA) with a local improvement operator consisting of the classic Hooke and Jeeves direct search method and a cultural learning component. The performance of the MA and the GA on which it is based are compared in the solution of two benchmark WDS problems of increasing size and difficulty. Solutions that are superior to those reported previously in the literature were achieved. The MA is shown to outperform the GA in each case, indicating that this may be a useful tool in the solution of real-world WDS problems. The potential benefits from search space reduction are also demonstrated. Copyright The Author(s) 2014

Suggested Citation

  • Euan Barlow & Tiku Tanyimboh, 2014. "Multiobjective Memetic Algorithm Applied to the Optimisation 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. 28(8), pages 2229-2242, June.
  • Handle: RePEc:spr:waterr:v:28:y:2014:i:8:p:2229-2242
    DOI: 10.1007/s11269-014-0608-0
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    References listed on IDEAS

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    1. Calvin Siew & Tiku Tanyimboh, 2012. "Penalty-Free Feasibility Boundary Convergent Multi-Objective Evolutionary Algorithm for the Optimization 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. 26(15), pages 4485-4507, December.
    2. 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.
    3. 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.
    4. R. Baños & C. Gil & J. Reca & J. Martínez, 2009. "Implementation of scatter search for multi-objective optimization: a comparative study," Computational Optimization and Applications, Springer, vol. 42(3), pages 421-441, April.
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    Cited by:

    1. Tiku T. Tanyimboh & Anna M. Czajkowska, 2021. "Entropy maximizing evolutionary design optimization of water distribution networks under multiple operating conditions," Environment Systems and Decisions, Springer, vol. 41(2), pages 267-285, June.
    2. Yu-Hao Lin & Yi-Ping Chen & Ming-Der Yang & Tung-Ching Su, 2016. "Multiobjective Optimal Design of Sewerage Rehabilitation by Using the Nondominated Sorting Genetic Algorithm-II," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 487-503, January.
    3. Yu-Hao Lin & Yi-Ping Chen & Ming-Der Yang & Tung-Ching Su, 2016. "Multiobjective Optimal Design of Sewerage Rehabilitation by Using the Nondominated Sorting Genetic Algorithm-II," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 487-503, January.
    4. Ngandu Balekelayi & Haile Woldesellasse & Solomon Tesfamariam, 2022. "Comparison of the Performance of a Surrogate Based Gaussian Process, NSGA2 and PSO Multi-objective Optimization of the Operation and Fuzzy Structural Reliability of Water Distribution System: Case Stu," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(15), pages 6169-6185, December.
    5. P Sivakumar & R. Prasad & S. Chandramouli, 2016. "Uncertainty Analysis of Looped Water Distribution Networks Using Linked EPANET-GA Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 331-358, January.
    6. D. Mora-Melia & P. Iglesias-Rey & F. Martinez-Solano & P. Ballesteros-Pérez, 2015. "Efficiency of Evolutionary Algorithms in Water Network Pipe Sizing," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(13), pages 4817-4831, October.
    7. Upaka Rathnayake & Tiku Tanyimboh, 2015. "Evolutionary Multi-Objective Optimal Control of Combined Sewer Overflows," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2715-2731, June.
    8. P . Sivakumar & R. K. Prasad & S. Chandramouli, 2016. "Uncertainty Analysis of Looped Water Distribution Networks Using Linked EPANET-GA Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 331-358, January.
    9. Sašo Šantl & Franci Steinman, 2015. "Hydropower Suitability Analysis on a Large Scale Level: Inclusion of a Calibration Phase to Support Determination of Model Parameters," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(1), pages 109-123, January.

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