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An improved decomposition-based heuristic to design a water distribution network for an irrigation system

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  • Graça Gonçalves
  • Luís Gouveia
  • Margarida Pato

Abstract

In this paper the authors address a pressurized water distribution network design problem for irrigation purposes. Two mixed binary nonlinear programming models are proposed for this NP-hard problem. Furthermore, a heuristic algorithm is presented for the problem, which considers a decomposition sequential scheme, based on linearization of the second model, coupled with constructive and local search procedures designed to achieve improved feasible solutions. To evaluate the robustness of the method we tested it on several instances generated from a real application. The best solutions obtained are finally compared with solutions provided by standard software. These computational experiments enable the authors to conclude that the decomposition sequential heuristic is a good approach to this difficult real problem. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • Graça Gonçalves & Luís Gouveia & Margarida Pato, 2014. "An improved decomposition-based heuristic to design a water distribution network for an irrigation system," Annals of Operations Research, Springer, vol. 219(1), pages 141-167, August.
    • Handle: RePEc:spr:annopr:v:219:y:2014:i:1:p:141-167:10.1007/s10479-011-1036-7
    DOI: 10.1007/s10479-011-1036-7
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    References listed on IDEAS

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    1. Faiz A. Al-Khayyal & James E. Falk, 1983. "Jointly Constrained Biconvex Programming," Mathematics of Operations Research, INFORMS, vol. 8(2), pages 273-286, May.
    2. Graça Gonçalves & Margarida Vaz Pato, 2000. "A three‐phase procedure for designing an irrigation system's water distribution network," Annals of Operations Research, Springer, vol. 94(1), pages 163-179, January.
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    Cited by:

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    2. 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.
    3. Shiono, Naoshi & Suzuki, Hisatoshi & Saruwatari, Yasufumi, 2019. "A dynamic programming approach for the pipe network layout problem," European Journal of Operational Research, Elsevier, vol. 277(1), pages 52-61.
    4. Baozhen Yao & Bin Yu & Ping Hu & Junjie Gao & Mingheng Zhang, 2016. "An improved particle swarm optimization for carton heterogeneous vehicle routing problem with a collection depot," Annals of Operations Research, Springer, vol. 242(2), pages 303-320, July.

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