Integrating Decision Analysis with Fuzzy Programming: Application in Urban Water Distribution System Operation
Publication: Journal of Water Resources Planning and Management
Volume 140, Issue 5
Abstract
Water-distribution operation is an essential part of an urban water-supply system to deliver high-quality water to consumers. Management of such an operation may involve deliberations of operation cost, system capacity, and environmental restriction, and is convoluted with many forms of uncertainties. In this paper, an integrated fuzzy programming and decision analysis (IFPDA) approach was proposed for a multilayer urban water-distribution system management under uncertainty. The system consisted of two water sources, four treatment plants, seven reservoirs, and seven consuming zones. Uncertain information associated with water demands, water-treatment capacities, water-transfer cost, and leakage rate was described by a trapezoidal-shaped fuzzy set and embedded into a fuzzy programming framework. The balance between the satisfaction degree of achieving the system objective and feasibility level of meeting the related constraints was analyzed by fuzzy inference procedures. The results indicate that the IFPDA approach was advantageous in (1) dealing with fuzzy uncertainties in the objective function, both sides of the model constraints, and the context of an urban water-distribution system management; (2) helping analyze tradeoffs between minimization of operation cost and reliability of running the system; and (3) linking optimization model outputs with decision analysis.
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Acknowledgments
The research reported in this paper was supported by Academic Research Fund (AcRF) Tier 1 Project (M4010973.030), Ministry of Education (MOE), Singapore. The anonymous reviewers are deeply appreciated for their insightful comments and suggestions.
References
Arreguin-Cortes, F. I., and Ochoa-Alejo, L. H. (1997). “Evaluation of water losses in distribution networks.” J. Water Resour. Plann. Manage., 123(5), 284–291.
Babayan, A., Kapelan, Z., Savic, D., and Walters, G. (2005). “Least-cost design of water distribution networks under demand uncertainty.” J. Water Resour. Plann. Manage., 131(5), 375–382.
Bellman, R., and Zadeh, L. A. (1970). “Decision making in a fuzzy environment.” Manage. Sci., 17(4), 141–164.
Bender, M. J., and Simonovic, S. P. (2000). “A fuzzy compromise approach to water resource systems planning under uncertainty.” Fuzzy Sets Syst., 115(1), 35–44.
Chen, H. W., and Chang, N. B. (2010). “Using fuzzy operators to address the complexity in decision making of water resources redistribution in two neighboring river basins.” Adv. Water Resour., 33(6), 652–666.
Fattahi, P., and Fayyaz, S. (2010). “A compromise programming model to integrated urban water management.” Water Resour. Manage., 24(6), 1211–1227.
Grayman, W. M. (2005). “Incorporating uncertainty and variability in engineering analysis.” J. Water Resour. Plann. Manage., 131(3), 158–160.
He, L., Huang, G. H., and Lu, H. W. (2008). “A simulation-based fuzzy chance-constrained programming model for optimal groundwater remediation under uncertainty.” Adv. Water Resour., 31(12), 1622–1635.
Huang, G. H., and Loucks, D. P. (2000). “An inexact two-stage stochastic programming model for water resources management under uncertainty.” Civ. Eng. Environ. Syst., 17(2), 95–118.
Iskander, M. G. (2002). “Comparison of fuzzy numbers using possibility programming: Comments and new concepts.” Comput. Math. Appl., 43(6–7), 833–840.
Jiménez, M., Arenas, M., Bilbao, A., and Rodríguez, M. V. (2007). “Linear programming with fuzzy parameters: An interactive method resolution.” Eur. J. Oper. Res., 177(3), 1599–1609.
Keane, M. A., and Kerslake, J. C. (1988). “The London water ring main: An optimal water supply system.” Water Environ. J., 2(3), 253–267.
Kindler, J. (1992). “Rationalizing water requirements with aid of fuzzy allocation model.” J. Water Resour. Plann. Manage., 118(3), 308–323.
Li, Y. P., Huang, G. H., Yang, Z. F., and Nie, S. L. (2008). “IFMP: Interval-fuzzy-multistage- programming for water resources management resources management under uncertainty.” Resour. Conserv. Recycl., 52(5), 800–812.
Liu, B. D., and Iwamura, K. (1998). “Chance constrained programming with fuzzy parameters.” Fuzzy Sets Syst., 94(2), 227–237.
Lu, H. W., Huang, G. H., and He, L. (2009). “Inexact rough-interval two-stage stochastic programming for conjunctive water allocation problems.” J. Environ. Manage, 91(1), 261–269.
Luan, I. O. B. (2010). “Singapore water management policies and practices.” Int. J. Water Resour. Dev., 26(1), 65–80.
Maqsood, I., Huang, G. H., and Yeomans, J. S. (2005). “An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty.” Eur. J. Oper. Res., 167(1), 208–225.
Mousavi, S. J., Karamouz, M., and Menhadj, M. B. (2004). “Fuzzy-state stochastic dynamic programming for reservoir operation.” J. Water Resour. Plann. Manage., 130(6), 460–470.
National Research Council. (2000). Watershed management for potable water supply: Assessing the New York City strategy, National Academies, Washington, DC.
Nie, X. H., Huang, G. H., and Liu, L. (2007). “IFRP: A hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty.” J. Environ. Manage., 84(1), 1–11.
Qin, X. S., and Xu, Y. (2011). “Analyzing urban water supply through an acceptability-index-based interval approach.” Adv. Water Resour., 34(7), 837–886.
Shen, E. Z., and Perloff, J. M. (2001). “Maximum entropy and Bayesian approaches to the ratio problem.” J. Econometrics, 104(2), 289–313.
Singh, A., and Minsker, B. S. (2008). “Uncertainty-based multiobjective optimization of groundwater remediation design.” Water Resour. Res., 44(2), W02404.
Wilchfort, O., and Lund, J. R. (1997). “Shortage management modeling for urban water supply systems.” J. Water Resour. Plann. Manage., 123(4), 250–258.
Yager, R. R. (1979). “Ranking fuzzy subsets over the unit interval.” Proc., Int. Conf. on Decision and Control, IEEE, New York, 1435–1437.
Information & Authors
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Published In
Journal of Water Resources Planning and Management
Volume 140 • Issue 5 • May 2014
Pages: 638 - 648
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 23, 2012
Accepted: Feb 22, 2013
Published online: Feb 25, 2013
Discussion open until: Jul 25, 2013
Published in print: May 1, 2014
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