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GA-ILP Method for Optimization of Water Distribution Networks

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  • Ali Haghighi
  • Hossein Samani
  • Zeinab Samani

Abstract

Optimization of water distribution networks has been of central importance for recent decades. Genetic Algorithms (GA) are the most famous metaheuristics widely used for this purpose with great success. However, the fact that GA basically requires a large number of computations, has led to investigate for faster solvers. In this research, a new approach is proposed in which a simple GA is linked with the Integer-Linear Programming (ILP) method resulting in a hybrid optimization scheme. Using the mathematical method of ILP, the search space is significantly reduced thereby a limited number of evaluations are required to achieve a good solution. The approach is applied to two benchmark pipe-networks in order to show its ability in terms of accuracy and speed. The results are then compared with the previous works. The obtained results indicate that the proposed model is computationally efficient, like classic methods, while is still very promising in finding the global optimum like the nature-inspired metaheuristics. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:7:p:1791-1808
    DOI: 10.1007/s11269-011-9775-4
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    References listed on IDEAS

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    1. 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.
    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.
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    Cited by:

    1. Tiku T. Tanyimboh & Anna M. Czajkowska, 2018. "Joint Entropy Based Multi-Objective Evolutionary 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. 32(8), pages 2569-2584, June.
    2. Shiono, Naoshi & Suzuki, Hisatoshi, 2016. "Optimal pipe-sizing problem of tree-shaped gas distribution networks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 550-560.
    3. Hriday Kalita & Arup Sarma & Rajib Bhattacharjya, 2014. "Evaluation of Optimal River Training Work Using GA Based Linked Simulation-Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(8), pages 2077-2092, June.
    4. Calvin Siew & Tiku Tanyimboh & Alemtsehay Seyoum, 2014. "Assessment of Penalty-Free Multi-Objective Evolutionary Optimization Approach for the Design and Rehabilitation 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(2), pages 373-389, January.
    5. Jose-Luis Molina & Raziyeh Farmani & John Bromley, 2011. "Aquifers Management through Evolutionary Bayesian Networks: The Altiplano Case Study (SE Spain)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(14), pages 3883-3909, November.
    6. 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.
    7. M. Pasha & Kevin Lansey, 2014. "Strategies to Develop Warm Solutions for Real-Time Pump Scheduling for 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(12), pages 3975-3987, September.
    8. Lucena, Abílio & Salles da Cunha, Alexandre, 2024. "Stable set reformulations for the degree preserving spanning tree problem," European Journal of Operational Research, Elsevier, vol. 319(1), pages 50-61.
    9. Laxmi Gangwani & Shilpa Dongre & Rajesh Gupta & Mohd Abbas H. Abdy Sayyed & Tiku Tanyimboh, 2024. "Design Optimization of Water Distribution Networks with Dynamic Search Space Reduction GA," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(1), pages 63-79, January.
    10. Hossein Fallah & Ozgur Kisi & Sungwon Kim & Mohammad Rezaie-Balf, 2019. "A New Optimization Approach for the Least-Cost Design of Water Distribution Networks: Improved Crow Search Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(10), pages 3595-3613, August.
    11. 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.
    12. Tiku T. Tanyimboh & Anna Czajkowska, 2018. "Self-Adaptive Solution-Space Reduction Algorithm for Multi-Objective Evolutionary Design 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. 32(10), pages 3337-3352, August.
    13. M. Fontana & D. Morais, 2013. "Using Promethee V to Select Alternatives so as to Rehabilitate Water Supply Network with Detected Leaks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 4021-4037, September.
    14. Mohammad Rahimi & Ali Haghighi, 2015. "A Graph Portioning Approach for Hydraulic Analysis-Design of Looped Pipe 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 5339-5352, November.
    15. Q. Yang & L. He & H. Lu, 2013. "A Multiobjective Optimisation Model for Groundwater Remediation Design at Petroleum Contaminated Sites," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2411-2427, May.
    16. Ali Haghighi & Amin Bakhshipour, 2012. "Optimization of Sewer Networks Using an Adaptive Genetic Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(12), pages 3441-3456, September.
    17. Mike Spiliotis & Luis Mediero & Luis Garrote, 2016. "Optimization of Hedging Rules for Reservoir Operation During Droughts Based on Particle Swarm Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(15), pages 5759-5778, December.
    18. Calvin Siew & Tiku Tanyimboh, 2012. "Pressure-Dependent EPANET Extension," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(6), pages 1477-1498, April.
    19. Sheyda Bahoosh & Reza Bahoosh & Ali Haghighi, 2019. "Development of a Self-Adaptive Ant Colony Optimization for Designing Pipe Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(14), pages 4715-4729, November.

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