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Estimating the Timing of the Economical Replacement of Water Mains Based on the Predicted Pipe Break Times Using the Proportional Hazards Models

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  • Suwan Park

Abstract

Deteriorated water mains fail frequently causing service disruption and other inconvenience to the customers. Therefore, the utilities must conduct repair, rehabilitation and/or replacement in a timely manner to satisfy the needs of the customers. To succeed in this process the utilities must also consider the economics of the water main maintenance. The proposed methodology presents not only a method for the optimal maintenance but also a practical way of conducting it by providing the economical time period of maintenance. A method is also presented for analyzing the accuracy of proportional hazards models (PHMs) in forecasting break times and estimating the timing for economical replacement of water mains. A survival probability criterion for the forecasting of the pipe breaks was determined in order to minimize the prediction errors of the PHMs. Subsequently, the criterion was used to estimate the upper and lower bounds of future break times of a water main using the survival functions derived from the PHMs. Two General Pipe Break Prediction Models (GPBMs) for a pipe were estimated for each of the two series of the recorded and predicted, upper and lower bound break times. The threshold break rate (TBR) was coupled with the two GPBMs for each pipe and solved for time to give the upper and lower bounds of the economical replacement time period. Copyright Springer Science+Business Media B.V. 2011

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  • Suwan Park, 2011. "Estimating the Timing of the Economical Replacement of Water Mains Based on the Predicted Pipe Break Times Using the Proportional Hazards Models," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2509-2524, August.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:10:p:2509-2524
    DOI: 10.1007/s11269-011-9823-0
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    References listed on IDEAS

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    1. Symeon Christodoulou & Alexandra Deligianni, 2010. "A Neurofuzzy Decision Framework for the Management 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. 24(1), pages 139-156, January.
    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.
    3. Jorge Pinto & Humberto Varum & Isabel Bentes & Jitendra Agarwal, 2010. "A Theory of Vulnerability of Water Pipe Network (TVWPN)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4237-4254, December.
    4. Suwan Park & Hwandon Jun & Newland Agbenowosi & Bong Kim & Kiyoung Lim, 2011. "The Proportional Hazards Modeling of Water Main Failure Data Incorporating the Time-dependent Effects of Covariates," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(1), pages 1-19, January.
    5. Symeon Christodoulou & Agathoklis Agathokleous & Bambos Charalambous & Aristides Adamou, 2010. "Proactive Risk-Based Integrity Assessment 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. 24(13), pages 3715-3730, October.
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    Cited by:

    1. Michalis Fragiadakis & Symeon Christodoulou & Dimitrios Vamvatsikos, 2013. "Reliability Assessment of Urban Water Distribution Networks Under Seismic Loads," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(10), pages 3739-3764, August.
    2. Gromov, Vladimir (Громов,Владимир) & Malinina, Tatiana (Малинина, Татьяна), 2015. "Directions of Improvement of Russian Tax Legislation in the Part of Taxation of Capital Gains of Assets [Направления Совершенствования Российского Налогового Законодательства В Части Налогообложени," Published Papers mak16, Russian Presidential Academy of National Economy and Public Administration.

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