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A newly developed method for computing reliability measures in a water supply network

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  • Jacek Malinowski

Abstract

In this paper a reliability model of a water supply network is examined. Its main features are: 1) a topology that can be decomposed, by the so-called state factorization, into a (relatively)small number of derivative networks, each having a series-parallel structure 2) binary-state components (either operable or failed) with given flow capacities 3) a multi-state character of the whole network and its sub-networks – a network state is defined as the maximal flow between a source (sources) and a sink (sinks) 4) all capacities (component, network, and sub-network) have integer values As the network operates, its state changes due to component failures, repairs, and replacements. A newly developed method of computing the inter-state transition intensities is presented. It is based on the so-called state factorization and series-parallel aggregation. The analysis of these intensities shows that the failure-repair process of the considered system is an asymptotically homogenous Markov process. It is also demonstrated how certain reliability parameters useful for the network maintenance planning can be determined on the basis of the asymptotic intensities. For better understanding of the presented method an illustrative example is given.

Suggested Citation

  • Jacek Malinowski, 2016. "A newly developed method for computing reliability measures in a water supply network," Operations Research and Decisions, Wroclaw University of Science Technology, Faculty of Management, vol. 4, pages 49-64.
  • Handle: RePEc:wut:journl:v:4:y:2016:p:49-64:id:1180
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    References listed on IDEAS

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    1. Symeon Christodoulou, 2011. "Water Network Assessment and Reliability Analysis by Use of Survival Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(4), pages 1229-1238, March.
    2. Andrés Carrión & Hernando Solano & María Gamiz & Ana Debón, 2010. "Evaluation of the Reliability of a Water Supply Network from Right-Censored and Left-Truncated Break Data," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(12), pages 2917-2935, September.
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