Optimal Maintenance Policy and Fund Allocation in Water Distribution Networks
Publication: Journal of Water Resources Planning and Management
Volume 131, Issue 4
Abstract
In maintenance of a water distribution network, the allocation of limited funds for maintenance among a network’s pipes and the decision to repair or replace a single pipe when failure occurs are the most important issues. Although some researchers in the past have addressed these issues, more work is needed to support water authorities in making maintenance decisions. In this research paper, a mathematical model is developed that aims to support the decision to allocate funds among pipes of the network as well as the decision to repair or replace the pipes in the state of failure. The objective function of the model is to maximize the total weighted long-run availability of the whole system. The concept of hydraulic reliability is employed to determine the weight of pipes in the maintenance program. The deterioration behavior of the pipe is depicted by a semi-Markov process, and the Dantzig–Wolfe decomposition algorithm is applied to deal with the large-scale characteristic of the resulting program.
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Acknowledgments
The authors are grateful to three distinguished reviewers for their comments and suggestions for improving the quality and the presentation of this paper.
References
Andreou, S. A., and Mark, D. H. (1987). “Maintenance decision for deteriorating water pipelines.” J. Pipelines, 7, 21–31.
Arulraj, G. P., and Rao, H. S. (1995). “Concept of significant index for maintenance and design of pipe networks.” J. Hydraul. Eng., 121(11), 833–837.
Bao, Y., and Mays, L. W. (1990). “Model for water distribution system reliability.” J. Hydraul. Eng., 116(9), 1119–1137.
Dantzig, G. B., and Wolfe, P. (1960). “Decomposition principle for linear programs.” Oper. Res., 8, 101–111.
Duan, N., and Mays, L. W. (1990). “Reliability analysis of pumping systems.” J. Hydraul. Eng., 116(2), 230–248.
Fujiwara, O., and De Silva, A. U. (1990). “Algorithm for reliability-based optimal design of water networks.” J. Environ. Eng., 116(3), 575–587.
Fujiwara, O., and Ganesharajah, T. (1993). “Reliability assessment of water supply systems with storage and distribution networks.” Water Resour. Res., 29(8), 2917–2924.
Fujiwara, O., and Tung, H. D. (1991). “Reliability improvement for water distribution networks through increasing pipe size.” Water Resour. Res., 27(7), 1395–1402.
Goulter, I. C., and Coals, A. V. (1986). “Quantitative approach to reliability assessment in pipe networks.” J. Transp. Eng., 112(3), 287–301.
Gupta, R., and Bhave, P. R. (1994). “Reliability analysis of water distribution systems.” J. Environ. Eng., 120(2), 447–460.
Gupta, R., and Bhave, P. R. (1996). “Reliability-based design of water-distribution systems.” J. Environ. Eng., 122(1), 51–54.
Hobbs, B. F., and Beim, G. K. (1988). “Analytical simulation of water system capacity reliability. Part I: Modified frequency-duration approach.” Water Resour. Res., 24(9), 1431–1444.
Kleiner, Y., Adams, B. J., and Rogers, J. S. (1998). “Long-term planning methodology for water distribution system rehabilitation.” Water Resour. Res., 34(8), 2039–2051.
Li, D., and Haimes, Y. Y. (1992a). “Optimal maintenance related decision making for deteriorating water distribution systems. I: Semi-Markovian model ffor a water main.” Water Resour. Res., 28(4), 1053–1061.
Li, D., and Haimes, Y. Y. (1992b). “Optimal maintenance related decision making for deteriorating water distribution systems. II: Multilevel decomposition approach.” Water Resour. Res., 28(4), 1063–1070.
Luong, H. T., and Nagarur, N. N. (2001). “Optimal replacement policy for single pipes in water distribution networks.” Water Resour. Res., 37(12), 3285–3293.
Quimpo, R. G., and Shamsi, U. M. (1991). “Reliability-based distribution system maintenance.” J. Water Resour. Plan. Manage., 117(3), 321–339.
Quimpo, R. G., and Wu, S. J. (1997). “Condition assessment of water supply infrastructure.” J. Infrastruct. Syst., 3(1), 15–22.
Water Works Authority. (1998). “Report on maintenance.” Rep. No. 101/CN/HCM Water Works Authority, Ho Chi Minh City, Vietnam.
Shamir, U., and Howard, C. (1979). “Analytical approach to scheduling pipe replacement.” J. Am. Water Works Assoc., 71(5), 248–258.
Wagner, J. M., Shamir, U., and Marks, D. H. (1988). “Water distribution reliability: Analytical methods.” J. Water Resour. Plan. Manage., 114(3), 253–275.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 131 • Issue 4 • July 2005
Pages: 299 - 306
Copyright
© 2005 ASCE.
History
Received: Jul 3, 2003
Accepted: Sep 13, 2004
Published online: Jul 1, 2005
Published in print: Jul 2005
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