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Comparison of Surrogate Measures for the Reliability and Redundancy of Water Distribution Systems

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  • Tiku T. Tanyimboh

    (University of Strathclyde Glasgow)

  • Calvin Siew

    (University of Strathclyde Glasgow)

  • Salah Saleh

    (University of Strathclyde Glasgow)

  • Anna Czajkowska

    (University of Strathclyde Glasgow)

Abstract

An investigation into the effectiveness of surrogate measures for the hydraulic reliability and/or redundancy of water distribution systems is presented. The measures considered are statistical flow entropy, resilience index, network resilience and surplus power factor. Looped network designs that are maximally noncommittal to the surrogate reliability measures were considered. In other words, the networks were designed by multi-objective evolutionary optimization free of any influence from the surrogate measures. The designs were then assessed using each surrogate measure and two accurate but computationally intensive measures namely hydraulic reliability and pipe-failure tolerance. The results indicate that by utilising statistical flow entropy, the reliability of the network can be reasonably approximated, with substantial savings in computational effort. The results for the other surrogate measures were often inconsistent. Two networks in the literature were considered. One example involved a range of alternative network topologies. In the other example, based on whole-life cost accounting, alternative design and upgrading schemes for a 20-year design horizon were considered. Pressure-dependent hydraulic modelling was used to simulate pipe failures for the reliability calculations.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:10:d:10.1007_s11269-016-1369-8
    DOI: 10.1007/s11269-016-1369-8
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    References listed on IDEAS

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    1. Mohd Abdy Sayyed & Rajesh Gupta & Tiku Tanyimboh, 2015. "Noniterative Application of EPANET for Pressure Dependent Modelling 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(9), pages 3227-3242, July.
    2. 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.
    3. Carlo Ciaponi & Luigi Franchioli & Enrico Murari & Sergio Papiri, 2015. "Procedure for Defining a Pressure-Outflow Relationship Regarding Indoor Demands in Pressure-Driven Analysis 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. 29(3), pages 817-832, February.
    4. 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.
    5. Singh, Vijay P. & Oh, Juik, 2015. "A Tsallis entropy-based redundancy measure for water distribution networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 360-376.
    6. 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.
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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. 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.
    3. Tornyeviadzi, Hoese Michel & Owusu-Ansah, Emmanuel & Mohammed, Hadi & Seidu, Razak, 2022. "A systematic framework for dynamic nodal vulnerability assessment of water distribution networks based on multilayer networks," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    4. 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.
    5. Tiku T. Tanyimboh, 2017. "Informational Entropy: a Failure Tolerance and Reliability Surrogate 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. 31(10), pages 3189-3204, August.
    6. L. Cimorelli & F. Morlando & L. Cozzolino & A. D’Aniello & D. Pianese, 2018. "Comparison Among Resilience and Entropy Index in the Optimal Rehabilitation of Water Distribution Networks Under Limited-Budgets," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(12), pages 3997-4011, September.
    7. Zhuo Song & Wei Wang & Zhao Han & Donghui Ma, 2020. "Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model," Sustainability, MDPI, vol. 12(4), pages 1-17, February.
    8. Zarghami, Seyed Ashkan & Gunawan, Indra & Schultmann, Frank, 2018. "Integrating entropy theory and cospanning tree technique for redundancy analysis of water distribution networks," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 102-112.

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