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

• Authors: MALINOWSKI Jacek
• Languages of publication: EN

Abstracts

EN

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 interstate 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.

Keywords

EN

water supply network; reliability; series-parallel aggregation; factorization

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2016
• Volume: 26
• Issue: 4
• Pages: 49-64

Contributors

author

MALINOWSKI Jacek

• Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland

References

• CARRION A., SOLANO H., LUZ GAMIZ M., DEBON A., Evaluation of the reliability of a water supply network from right-censored and left-truncated break data, Water Res. Manage., 2010, 24 (12), 2917.
• CHRISTODOULOU S.E., Water network assessment and reliability analysis by use of survival analysis, Water Res. Manage., 2011, 25 (4), 1229.
• GOULTER I., Analytical and simulation models for reliability analysis in water distribution systems, [in:] E. Cabrera, A.F. Vela (Eds.), Improving Efficiency and Reliability in Water Distribution Systems, Kluwer Academic Publishers, 1995, 235.
• KORCZAK E., New formula for the failure/repair frequency of multi-state monotone systems and its applications, Control Cyber., 2007, 36 (1), 219.
• SHAMIR U., Reliability of water supply systems, [in:] L. Duckstein, E.J. Plate (Eds.), Engineering Reliability and Risk in Water Resources, NATO ASI Series, Martinus Nijhoff Publ., 1987, 233.
• WAGNER J.M., MARKS D.H., Water distribution reliability. Analytical methods, J. Water Res. Plan. Manage., 1988, 114 (3), 264.
• XU C., POWELL R.S., Water supply system reliability: concepts and measures, Civil Eng. Sys., 1991, 8 (4), 191.
• YANNOPOULOS S., SPILIOTIS M., Water distribution system reliability based on minimum cut-set approach and the hydraulic availability, Water Res. Manage., 2013, 27 (6), 1821.

Identifiers

DOI

10.5277/ord160404