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Hybrid Genetic Algorithm and Linear Programming Method for Least-Cost Design of Water Distribution Systems

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  • Milan Cisty

Abstract

The problems involved in the optimal design of water distribution networks belong to a class of large combinatorial optimization problems. Various heuristic and deterministic algorithms have been developed in the past two decades for solving optimization problems and applied to the design of water distribution systems. Nevertheless, there is still some uncertainty about finding a generally trustworthy method that can consistently find solutions which are really close to the global optimum of this problem. The paper proposes a combined genetic algorithm (GA) and linear programming (LP) method, named GALP for solving water distribution system design problems. It was investigated that the proposed method provides results that are more stable in terms of closeness to a global minimum. The main idea is that linear programming is more dependable than heuristic methods in finding the global optimum, but because it is suitable only for solving branched networks, the GA method is used in the proposed algorithm for decomposing a complex looped network into a group of branched networks. Linear programming is then applied for optimizing every branch network produced by GA from the original looped network. The proposed method was tested on three benchmark least-cost design problems and compared with other methods; the results suggest that the GALP consistently provides better solutions. The method is intended for use in the design and rehabilitation of drinking water systems and pressurized irrigation systems as well. Copyright Springer Science+Business Media B.V. 2010

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:24:y:2010:i:1:p:1-24
    DOI: 10.1007/s11269-009-9434-1
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    References listed on IDEAS

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    1. Önder Ekinci & Haluk Konak, 2009. "An Optimization Strategy for Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(1), pages 169-185, January.
    2. 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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    3. Qi Wang & Enrico Creaco & Marco Franchini & Dragan Savić & Zoran Kapelan, 2015. "Comparing Low and High-Level Hybrid Algorithms on the Two-Objective Optimal 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. 29(1), pages 1-16, January.
    4. 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.
    5. D. Mora-Melia & P. Iglesias-Rey & F. Martinez-Solano & V. Fuertes-Miquel, 2013. "Design of Water Distribution Networks using a Pseudo-Genetic Algorithm and Sensitivity of Genetic Operators," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(12), pages 4149-4162, September.
    6. 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.
    7. 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.
    8. Yi Liu & Zhengpeng Tao & Jie Yang & Feng Mao, 2019. "The Modified Artificial Fish Swarm Algorithm for Least-Cost Planning of a Regional Water Supply Network Problem," Sustainability, MDPI, vol. 11(15), pages 1-12, July.
    9. 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.
    10. 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.
    11. Nogueira Vilanova, Mateus Ricardo & Perrella Balestieri, José Antônio, 2014. "Energy and hydraulic efficiency in conventional water supply systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 30(C), pages 701-714.
    12. Waqed H. Hassan & Musa H. Jassem & Safaa S. Mohammed, 2018. "A GA-HP Model for the Optimal Design of Sewer Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 865-879, February.
    13. 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.
    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. Bohong Wang & Yongtu Liang & Wei Zhao & Yun Shen & Meng Yuan & Zhimin Li & Jian Guo, 2021. "A Continuous Pump Location Optimization Method for Water Pipe Network Design," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(2), pages 447-464, January.
    16. González-Bravo, Ramón & Fuentes-Cortés, Luis Fabián & Ponce-Ortega, José María, 2017. "Defining priorities in the design of power and water distribution networks," Energy, Elsevier, vol. 137(C), pages 1026-1040.
    17. Raúl Baños & Juan Reca & Juan Martínez & Consolación Gil & Antonio Márquez, 2011. "Resilience Indexes for Water Distribution Network Design: A Performance Analysis Under Demand Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2351-2366, August.
    18. 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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