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

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  • Jacek Malinowski

Abstract

A reliability model of a water supply network has beens examined. Its main features are: 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 (1), binary-state components (either operative or failed) with given flow capacities (2), 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) (3), all capacities (component, network, and sub-network) have integer values (4). 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 has been 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 and Technology, Faculty of Management, vol. 26(4), pages 49-64.
    • Handle: RePEc:wut:journl:v:4:y:2016:p:49-64:id:1180
    DOI: 10.5277/ord160404
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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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