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A Graph-Theoretic Framework for Assessing the Resilience of Sectorised Water Distribution Networks

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  • Manuel Herrera
  • Edo Abraham
  • Ivan Stoianov

Abstract

Water utilities face a challenge in maintaining a good quality of service under a wide range of operational management and failure conditions. Tools for assessing the resilience of water distribution networks are therefore essential for both operational and maintenance optimization. In this paper, a novel graph-theoretic approach for the assessment of resilience for large scale water distribution networks is presented. This is of great importance for the management of large scale water distribution systems, most models containing up to hundreds of thousands of pipes and nodes. The proposed framework is mainly based on quantifying the redundancy and capacity of all possible routes from demand nodes to their supply sources. This approach works well with large network sizes since it does not rely on precise hydraulic simulations, which require complex calibration processes and computation, while remaining meaningful from a physical and a topological point of view. The proposal is also tailored for the analysis of sectorised networks through a novel multiscale method for analysing connectivity, which is successfully tested in operational utility network models made of more than 100,000 nodes and 110,000 pipes. Copyright The Author(s) 2016

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:5:p:1685-1699
    DOI: 10.1007/s11269-016-1245-6
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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.
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    4. Yu, Juanya & Sharma, Neetesh & Gardoni, Paolo, 2024. "Functional connectivity analysis for modeling flow in infrastructure," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    5. Carlo Giudicianni & Manuel Herrera & Armando Nardo & Kemi Adeyeye, 2020. "Automatic Multiscale Approach for Water Networks Partitioning into Dynamic District Metered Areas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(2), pages 835-848, January.
    6. Alessandro Pagano & Chris Sweetapple & Raziyeh Farmani & Raffaele Giordano & David Butler, 2019. "Water Distribution Networks Resilience Analysis: a Comparison between Graph Theory-Based Approaches and Global Resilience Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2925-2940, June.
    7. C. Giudicianni & A. Nardo & R. Greco & A. Scala, 2021. "A Community-Structure-Based Method for Estimating the Fractal Dimension, and its Application to Water Networks for the Assessment of Vulnerability to Disasters," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(4), pages 1197-1210, March.
    8. 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).
    9. Hadi Alizadeh & Ayyoob Sharifi, 2020. "Assessing Resilience of Urban Critical Infrastructure Networks: A Case Study of Ahvaz, Iran," Sustainability, MDPI, vol. 12(9), pages 1-20, May.
    10. Liu, Wei & Song, Zhaoyang & Ouyang, Min & Li, Jie, 2020. "Recovery-based seismic resilience enhancement strategies of water distribution networks," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    11. Caldarola, Fabio & Maiolo, Mario, 2021. "A mathematical investigation on the invariance problem of some hydraulic indices," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    12. Kulkarni, Onkar & Dahan, Mathieu & Montreuil, Benoit, 2022. "Resilient Hyperconnected Parcel Delivery Network Design Under Disruption Risks," International Journal of Production Economics, Elsevier, vol. 251(C).
    13. Elisabeth Vogel & Zoya Dyka & Dan Klann & Peter Langendörfer, 2021. "Resilience in the Cyberworld: Definitions, Features and Models," Future Internet, MDPI, vol. 13(11), pages 1-18, November.
    14. Bárbara Brzezinski Azevedo & Tarcísio Abreu Saurin, 2018. "Losses in Water Distribution Systems: A Complexity Theory Perspective," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(9), pages 2919-2936, July.
    15. Alessandro Pagano & Raffaele Giordano & Ivan Portoghese, 2022. "A Pipe Ranking Method for Water Distribution Network Resilience Assessment Based on Graph-Theory Metrics Aggregated Through Bayesian Belief Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(13), pages 5091-5106, October.
    16. 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.
    17. Xiang He & Yongbo Yuan, 2019. "A Framework of Identifying Critical Water Distribution Pipelines from Recovery Resilience," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(11), pages 3691-3706, September.
    18. 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).
    19. Johannes Stübinger & Lucas Schneider, 2020. "Understanding Smart City—A Data-Driven Literature Review," Sustainability, MDPI, vol. 12(20), pages 1-23, October.
    20. Ardalan Izadi & Farhad Yazdandoost & Roza Ranjbar, 2020. "Asset-Based Assessment of Resiliency in Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(4), pages 1407-1422, March.
    21. Wu, Jason & Baker, Jack W., 2020. "Statistical learning techniques for the estimation of lifeline network performance and retrofit selection," Reliability Engineering and System Safety, Elsevier, vol. 200(C).
    22. Tiedmann, Helena R. & Faust, Kasey M. & Sela, Lina, 2024. "Looking beyond individual failures: A system-wide assessment of water infrastructure resilience to extreme events," Reliability Engineering and System Safety, Elsevier, vol. 244(C).

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