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Comparing Low and High-Level Hybrid Algorithms on the Two-Objective Optimal Design of Water Distribution Systems

Author

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  • Qi Wang
  • Enrico Creaco
  • Marco Franchini
  • Dragan Savić
  • Zoran Kapelan

Abstract

This paper presents the comparison of two hybrid methodologies for the two-objective (cost and resilience) design of water distribution systems. The first method is a low-level hybrid algorithm (LLHA), in which a main controller (the non-dominated sorting genetic algorithm II, NSGA-II) coordinates various subordinate algorithms. The second method is a high-level hybrid algorithm (HLHA), in which various sub-algorithms collaborate in parallel. Applications to four case studies of increasing complexity enable the performances of the hybrid algorithms to be compared with each other and with the performance of the NSGA-II. In the case study featuring low/intermediate complexity, the hybrid algorithms (especially the HLHA) successfully capture a more diversified Pareto front, although the NSGA-II shows the best convergence. When network complexity increases, instead, the hybrid algorithms (especially the LLHA) turn out to be superior in terms of both convergence and diversity. With respect to both the HLHA and the NSGA-II, the LLHA is capable of detecting the final front in a single run with a lower computation burden. In contrast, the HLHA and the NSGA-II, which are more affected by the initial random seed, require numerous runs with an attempt to reach the definitive Pareto front. On the other hand, a drawback of the LLHA lies in its reduced ability to deal with general problem formulations, i.e., those not relating to water distribution optimal design. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:1:p:1-16
    DOI: 10.1007/s11269-014-0823-8
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    References listed on IDEAS

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    1. 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.
    2. Gift Dumedah & Aaron Berg & Mark Wineberg & Robert Collier, 2010. "Selecting Model Parameter Sets from a Trade-off Surface Generated from the Non-Dominated 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. 24(15), pages 4469-4489, December.
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    Cited by:

    1. Fernández García, I. & Creaco, E. & Rodríguez Díaz, J.A. & Montesinos, P. & Camacho Poyato, E. & Savic, D., 2016. "Rehabilitating pressurized irrigation networks for an increased energy efficiency," Agricultural Water Management, Elsevier, vol. 164(P2), pages 212-222.
    2. I. Fernández García & P. Montesinos & E. Camacho Poyato & J. A. Rodríguez Díaz, 2017. "Optimal Design of Pressurized Irrigation Networks to Minimize the Operational Cost under Different Management Scenarios," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(6), pages 1995-2010, April.
    3. Kun Cheng & Qiang Fu & Xi Chen & Tianxiao Li & Qiuxiang Jiang & Xiaosong Ma & Ke Zhao, 2015. "Adaptive Allocation Modeling for a Complex System of Regional Water and Land Resources Based on Information Entropy and its Application," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 4977-4993, November.
    4. Abdelouahid Fouial & Irene Fernández García & Cristiana Bragalli & Nicola Lamaddalena & Juan Antonio Rodríguez Diaz, 2018. "Multi-Objective Optimization Model Based on Localized Loops for the Rehabilitation of Gravity-fed Pressurized Irrigation Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(2), pages 465-480, January.

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