Robustness-Based Design of Water Distribution Systems
Publication: Journal of Water Resources Planning and Management
Volume 140, Issue 11
Abstract
Robustness is generally defined as an ability of a system to maintain its function under a defined set of disturbances. To introduce robustness to the water distribution systems (WDSs) design, chance constrained, or so-called reliability-based models have been formulated. Under variations in system parameters, such as nodal demands and pipe roughness, system reliability is generally measured as the probability that the stochastic nodal pressures will be higher than an allowable minimum pressure limit. However, chance constraints may not be the best formulation to improve system robustness because it focuses on the likelihood of failure under a specified set of conditions rather than developing a solution that consistently provides adequate service. In addition, the reliability-based design requires defining the demand condition, its probability distribution and its statistics, which are not straight forward in practice. To address these difficulties, a robustness index that limits the range of the system function variability is posed here and incorporated in a two objective optimization problem. Resulting designs are compared with those from the reliability constraint formulation. The authors demonstrate that the robustness-based design improves resilience relative to the reliability-based design.
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Acknowledgments
This material is based in part upon work supported by the National Science Foundation under Grant No. 083590. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
References
Alperovits, E., and Shamir, U. (1977). “Design of optimal water distribution systems.” Water Resour. Res., 13(6), 885–900.
Babayan, A. V., Kapelan, Z., Savic, D. A., and Walters, G. A. (2005). “Least cost design of robust water distribution networks under demand uncertainty.” J. Water Resour. Plann. Manage., 375–382.
Bao, Y., and Mays, L. (1990). “Model for water distribution system reliability.” J. Hydraul. Eng., 1119–1137.
Berthouex, P. M. (1975). “Modelling concepts considering process performance, variability, and uncertainty.” Mathematical modelling for water pollution control process, T. M. Keinath and M. P. Wanielista, eds., Ann Arbor Science Publishers, Ann Arbor, MI.
Clark, R. M., Sivaganesan, M., Selvakumar, A., and Sethi, V. (2002). “Cost model for water supply distribution systems.” J. Water Resour. Plann. Manage., 312–321.
Cullinane, M. J., Lansey, K. E., and Mays, L. W. (1992). “Optimization availability-based design of water distribution networks.” J. Hydraul. Eng., 420–441.
Deb, K., Pratap, A., Agrawal, S., and Meyarivan, T. (2002). “A fast and elitist multiobjective genetic algorithm: NSGA-II.” IEEE Trans. Evol. Comput., 6(2), 182–197.
Giustolisi, O., Laucelli, D., and Colombo, A. F. (2009). “Deterministic versus stochastic design of water distribution networks.” J. Water Resour. Plann. Manage., 117–127.
Giustolisi, O., and Walski, T. M. (2012). “Demand components in water distribution network analysis.” J. Water Resour. Plann. Manage., 356–367.
Goulter, I. (1995). “Analytical and simulation models for reliability analysis in water distribution systems.” Improving efficiency and reliability in water distribution systems, E. Cabrera and A. F. Vela, eds., Kluwer Academic, London, 235–266.
Goulter, I., and Coals, A. (1986). “Quantitative approaches to reliability assessment in pipe networks.” J. Transp. Eng., 104–113.
Jen, E. (2003). “Stable or robust? What’s the difference?” Complexity, 8(3), 12–18.
Kang, D. S., Pasha, M. F. K., and Lansey, K. E. (2009). “Approximate methods for uncertainty analysis of water distribution systems.” Urban Water J., 6(3), 233–249.
Kapelan, Z. S., Savic, D. A., and Walters, G. A. (2005). “Multiobjective design of water distribution systems under uncertainty.” Water Resour. Res., 41(11), W11407-1–W11407-15.
Kapelan, Z. S., Savic, D. A., Waters, G. A., and Babayan, A. V. (2006). “Risk- and robustness-based solutions to a multi-objective water distribution system rehabilitation problem under uncertainty.” Water Sci. Technol., 53(1), 61–75.
Lansey, K. (2012). “Sustainable, robust, resilient, water distribution systems.” Proc., Water Distribution System Analysis 2012, Adelaide, Australia, Engineers Australia, Barton ACT, Australia.
Lansey, K. E., Duan, N., Mays, L. W., and Tung, Y.-K. (1989). “Water distribution system design under uncertainty.” J. Water Resour. Plann. Manage., 630–645.
Lansey, K. E., and Mays, L. W. (1989). “Optimization model for water distribution system design.” J. Hydraul. Eng., 1401–1418.
Rossman, L. (2000). EPANet2 user’s manual, U.S. Environmental Protection Agency, Washington, DC.
Savic, D., and Walters, G. (1997). “Genetic algorithms for least-cost design of water distribution networks.” J. Water Resour. Plann. Manage., 67–77.
Schaake, J., and Lai, D. (1969). “Linear programming and dynamic programming applications to water distribution network design.”, Dept. of Civil Engineering, Massachusetts Institute of Technology, Cambridge.
Scholz, R., Blumer, Y., and Brand, F. (2012). “Risk, vulnerability, robustness, and resilience from a decision-theoretic perspective.” J. Risk Res., 15(3), 313–330.
Simpson, A. R., Dandy, G. C., and Murphy, L. J. (1994). “Genetic algorithms compared to other techniques for pipe optimization.” J. Water Resour. Plann. Manage., 423–443.
Su, Y., Mays, L. W., Duan, N., and Lansey, K. E. (1987). “Reliability-based optimization model for water distribution systems.” J. Hydraul. Eng., 1539–1556.
Todini, E. (2000). “Looped water distribution networks design using a resilience index based heuristic approach.” Urban Water, 2(3), 115–122.
Tung, Y. K., and Yen, B. C. (2005). Hydrosystems engineering uncertainty analysis, McGraw-Hill, New York.
Walski, T. M., et al. (1987). “Battle of the network models: Epilogue.” J. Water Resour. Plann. Manage., 191–203.
Wu, Z. Y., Wang, R. H., Walski, T. M., Yang, S. Y., Bowdler, D., and Baggett, C. C. (2009). “Extended global-gradient algorithm for pressure-dependent water distribution analysis.” J. Water Resour. Plann. Manage., 13–22.
Xu, C., and Goulter, C. (1999). “Reliability-based optimal design of water distribution networks.” J. Water Resour. Plann. Manage., 352–362.
Zhuang, B., Lansey, K., and Kang, D. (2013). “Resilience/availability analysis of municipal water distribution system incorporating adaptive pump operation.” J. Hydraul. Eng., 527–537.
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© 2014 American Society of Civil Engineers.
History
Received: Jun 27, 2013
Accepted: Nov 8, 2013
Published online: Nov 11, 2013
Discussion open until: Oct 20, 2014
Published in print: Nov 1, 2014
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