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Resilience Indexes for Water Distribution Network Design: A Performance Analysis Under Demand Uncertainty

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  • Raúl Baños
  • Juan Reca
  • Juan Martínez
  • Consolación Gil
  • Antonio Márquez

Abstract

Traditionally, the optimal design of water distrubution networks has been dealt with using single-objective constrained approaches, where the aim is to minimize the network investment cost while maintaining minimum pressure head constraints at all nodes. However, in the last decade some authors have proposed multi-objective approaches which optimize other objectives than network investment cost. In most cases, these objectives have been formulated using the concept of resilience index, which mimics the design aim of providing excess head above the minimum allowable head at the nodes and of designing reliable loops with practicable pipe diameters. Although several authors have proposed different resilience indexes for this pupose, to date there is no empirical study that analyzes the advantages and disadvantages of these proposals. This paper evaluates the performance of a well-known multi-objective evolutionary algorithm, the Strength Pareto Evolutionary Algorithm 2, using three different resilience indexes. The results obtained in two water supply networks under a large number of simulated over-demand scenarios show the advantages and disadvantages of these measures. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:10:p:2351-2366
    DOI: 10.1007/s11269-011-9812-3
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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. 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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    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. Stavros Yannopoulos & Mike Spiliotis, 2013. "Water Distribution System Reliability Based on Minimum Cut – Set Approach and the Hydraulic Availability," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(6), pages 1821-1836, April.
    3. Liu, Wei & Song, Zhaoyang & Ouyang, Min, 2020. "Lifecycle operational resilience assessment of urban water distribution networks," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    4. Raziyeh Farmani & David Butler, 2014. "Implications of Urban Form on Water Distribution Systems Performance," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 83-97, January.
    5. Salah Saleh & Tiku T. Tanyimboh, 2016. "Multi-Directional Maximum-Entropy Approach to the Evolutionary Design 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. 30(6), pages 1885-1901, April.
    6. Manuel Herrera & Edo Abraham & Ivan Stoianov, 2016. "A Graph-Theoretic Framework for Assessing the Resilience of Sectorised 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(5), pages 1685-1699, March.
    7. Huan-Feng Duan, 2015. "Uncertainty Analysis of Transient Flow Modeling and Transient-Based Leak Detection in Elastic Water Pipeline Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5413-5427, November.
    8. Manuel Herrera & Edo Abraham & Ivan Stoianov, 2016. "A Graph-Theoretic Framework for Assessing the Resilience of Sectorised 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(5), pages 1685-1699, March.
    9. Márcio das Chagas Moura & Helder Henrique Lima Diniz & Enrique López Droguett & Beatriz Sales da Cunha & Isis Didier Lins & Vicente Ribeiro Simoni, 2017. "Embedding resilience in the design of the electricity supply for industrial clients," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-33, November.
    10. Liu, Wei & Song, Zhaoyang, 2020. "Review of studies on the resilience of urban critical infrastructure networks," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    11. Salah Saleh & Tiku Tanyimboh, 2014. "Optimal Design of Water Distribution Systems Based on Entropy and Topology," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3555-3575, September.
    12. Gift Dumedah, 2012. "Formulation of the Evolutionary-Based Data Assimilation, and its Implementation in Hydrological Forecasting," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3853-3870, October.
    13. Tiku T. Tanyimboh & Calvin Siew & Salah Saleh & Anna Czajkowska, 2016. "Comparison of Surrogate Measures for the Reliability and Redundancy 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. 30(10), pages 3535-3552, August.

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