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Water Distribution System Reliability Based on Minimum Cut – Set Approach and the Hydraulic Availability

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  • Stavros Yannopoulos
  • Mike Spiliotis

Abstract

Reliability analysis of water distribution systems is a complex task, as it requires both definition and calculation of several reliability measures. In this paper, a methodology for evaluating water distribution system reliability is developed and demonstrated on a simple water distribution network based on the minimum cut-set approach. In general, the definition of the minimum cut-set can arise either from the mechanical reliability or from the concept of hydraulic reliability. In the case of mechanical reliability, a new method based on graph theory is developed, in order to determine the minimum cut-set. This method is based on the counting of paths between nodes. Furthermore, the general concept of reliability is proposed, to include apart from the mechanical reliability, more generally, the pressure availability at nodes as a main hydraulic property. Based on the pressure availability, the sense of hydraulic availability can be expressed as a fuzzy set, while the combination of the water unavailability of the nodes can be achieved by using fuzzy averaging aggregator. Finally, an overall reliability index is proposed based on both the hydraulic and the mechanical reliability. An illustrative example is developed to indicate the methodology. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:6:p:1821-1836
    DOI: 10.1007/s11269-012-0163-5
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    References listed on IDEAS

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    1. B. K. Papadopoulos & M. A. Sirpi, 1999. "Similarities in Fuzzy Regression Models," Journal of Optimization Theory and Applications, Springer, vol. 102(2), pages 373-383, August.
    2. George Tsakiris & Mike Spiliotis, 2011. "Planning Against Long Term Water Scarcity: A Fuzzy Multicriteria Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(4), pages 1103-1129, March.
    3. A. Cancelliere & G. Giuliano & A. Ancarani & G. Rossi, 2002. "A Neural Networks Approach for Deriving Irrigation Reservoir Operating Rules," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 16(1), pages 71-88, 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.
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    Cited by:

    1. 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.
    2. Husnain Haider & Majed Alinizzi & Md. Shafiquzzaman & Saleem S. AlSaleem & Mohammad Alresheedi & Rehan Sadiq, 2022. "Customer-Driven Water Supply Systems: Synergizing System Reliability and Customer Satisfaction with Bowtie Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(10), pages 3481-3503, August.
    3. Bong Jung & Yves Filion & Barry Adams & Bryan Karney, 2013. "Multi-Objective Design Optimization of Branched Pipeline Systems with Analytical Assessment of Fire Flow Failure Probability," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(10), pages 3663-3678, August.

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