Stochastic Design of Water Distribution Systems with Expected Annual Damages
Publication: Journal of Water Resources Planning and Management
Volume 133, Issue 3
Abstract
This paper presents a stochastic design approach that quantifies the expected annual damages sustained by residential, commercial, and industrial users during low- and high-pressure hydraulic failures in a water network. The approach, which couples stochastic models of water demand, fire flow, and pipe breaks with Monte Carlo simulation, was used to solve part of the Anytown design problem. Results indicated that a significant proportion of low-pressure failures occurred during low-demand months in the last of the planning period. The timing and spatial distribution of demands observed during failure differed significantly from the demands assumed in conventional design (maximum hour and maximum day . The results also indicated that including damages in design makes it possible to produce cost effective systems that yield a low level of expected annual damages. This gives force to framing the network design problem as a stochastic, multiobjective one to balance cost efficiency with system capacity/redundancy and provide a hedge against hard-to-anticipate temporal and spatial patterns of demand in networks.
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Acknowledgments
The writers wish to thank the Natural Science and Engineering Research Council, Public Safety and Emergency Preparedness Canada, and the Canadian Water Network for their financial support of this research.
References
Babayan, A. V., Kapelan, Z., Savic, D. A., and Walters, G. A. (2005). “Least-cost design of water distribution networks under demand uncertainty.” J. Water Resour. Plann. Manage., 131(5), 375–382.
Guercio, R., and Xu, Z. (1997). “Linearized optimization model for reliability-based design of water systems.” J. Hydraul. Eng., 123(11), 1020–1026.
Kapelan, Z., Babayan, A. V., Walters, G. A., and Khu, S. T. (2004). “Two new approaches for the stochastic least cost design of water distribution systems.” Water Sci. Technol., 4(5–6), 355–363.
Lansey, K. E., Duan, N., Mays, L. W., and Tung, Y.-K. (1989). “Water distribution system design under uncertainties.” J. Water Resour. Plann. Manage., 115(5), 630–645.
Rossman, L. A., (2000). EPANET users’ manual, U.S. Environmental Protection Agency, Cincinnati.
Shinstine, D. S., Ahmed, I., and Lansey, K. E., (2002). “Reliability/availability analysis of municipal water distribution networks: Case studies.” J. Water Resour. Plann. Manage., 128(2), 140–151.
Tolson, B. A., Maier, H. R., Simpson, A. R., and Lence, B. J., (2004). “Genetic algorithms for reliability-based optimization of water distribution systems.” J. Water Resour. Plann. Manage., 130(1), 63–72.
Walski, T. M., et al. (1987). “Battle of the network models: Epilogue.” J. Water Resour. Plann. Manage., 113(2), 191–203.
Xu, C., and Goulter, I., (1999). “Reliability-based optimal design of water distribution networks.” J. Water Resour. Plann. Manage., 125(6), 352–362.
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© 2007 ASCE.
History
Received: Dec 23, 2003
Accepted: Apr 19, 2006
Published online: May 1, 2007
Published in print: May 2007
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