Comparison of Fuzzy and Nonfuzzy Optimal Reservoir Operating Policies
Publication: Journal of Water Resources Planning and Management
Volume 128, Issue 6
Abstract
This paper compares reservoir operating policies obtained from fuzzy and nonfuzzy explicit stochastic dynamic programming. The reservoir operation problem for the Mansour Eddahbi dam in Morocco can be formulated as either a classical stochastic dynamic programming (SDP) problem, where the objective function stresses energy maximization with particular volumes being released for irrigation, or a fuzzy stochastic dynamic programming (FSDP) problem, in which both hydropower generation and irrigation are considered as fuzzy constraints and aggregated by the weighting method. System performance is estimated from simulation based on continuous reoptimization models using either the cost-to-go function generated by the SDP algorithm, or the membership function generated by the FSDP algorithm. Despite major differences in the mathematical representation of operating objectives and/or constraints, we show that both formulations yield similar measures of system performance.
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References
Bárdossy, A., Bogardi, I., and Duckstein, L.(1990). “Fuzzy regression in hydrology.” Water Resour. Res., 26(7), 1497–1508.
Bárdossy, A., and Duckstein, L. (1995). Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems, CRC, Boca Raton, Fla.
Butcher, W. S.(1971). “Stochastic dynamic programming for optimum reservoir operation.” Water Resour. Res., 7(1), 115–123.
Esogbue, A., and Kacprzyk, J. (1998). “Fuzzy dynamic programming.” Decision Analysis, Operation Research and Statistics, Handbook of Fuzzy Sets Series, Vol. 5, Kluwer, Boston, 281–307.
Faouzi, E. H. (1999). “Diagnostic hydrique de la culture du blé en milieu oasien.” PhD thesis, Univ. cath. de Louvain, Louvain-la-Neuve, Belgium.
Fontane, D. G., Gates, T. K., and Moncada, E.(1997). “Planning reservoir operations with imprecise objectives.” J. Water Resour. Plan. Manage., 123(3), 154–163.
Gurocak, E. R.(1996). “Fuzzy multiple criteria decision making for natural resource projects.” Fuzzy Economic Review, 1(2), 75–95.
Hjorth, P., Kundzewicz, Z. W., Kuchment, L. S., and Rosbjerg, D. (1998). “Critiques of present reservoirs.” Sustainable Reservoir Development and Management, IAHS Publication No. 251, Wallingford, U.K., 14–30.
Johnson, S. A., Stedinger, J. R., Shoemaker, C. A., Li, Y., and Tejada-Guibert, J. A.(1993). “Numerical solution of continuous-state dynamic programs using linear and spline interpolation.” Oper. Res., 41(3), 484–500.
Karamouz, M., and Vasiliadis, H. V.(1992). “Bayesian stochastic optimization of reservoir operation using uncertain forecasts.” Water Resour. Res., 28(5), 1221–1232.
Kaymak, U., and van Nauta Lemke, H. R.(1998). “A sensitivity analysis approach to introducing weight factors into decision functions in fuzzy multicriterion decision-making.” Fuzzy Sets Syst., 97, 169–182.
Kelman, J., Stedinger, J. R., Cooper, L. A., Hsu, E., and Yuan, S.(1990). “Sampling stochastic dynamic programming applied to reservoir operation.” Water Resour. Res., 26(3), 447–454.
Kim, Y., and Palmer, R.(1997). “Value of seasonal flow forecasts in Bayesian stochastic programming.” J. Water Resour. Plan. Manage., 123, 327–335.
Klir, G. J., and Yuan, B. (1995). Fuzzy sets and fuzzy logic—Theory and applications, Prentice-Hall, Englewood Cliffs, N.J.
Liang, Q., Johnson, L., and Yu, Y.-S.(1996). “A comparison of two methods for multiobjective optimization for reservoir operation.” Water Resour. Bull., 32(2), 333–340.
Loucks, D. P., Stedinger, J. R., and Haith, D. A. (1981). Water resource systems planning and analysis, Prentice-Hall, Englewood Cliffs, N.J.
Nicklow, J. W.(2000). “Discrete-time optimal control for water resources engineering and management.” Water Int., 25(1), 89–95.
Russel, S. O., and Campbell, P. F.(1996). “Reservoir operating rules with fuzzy programming.” J. Water Resour. Plan. Manage., 122, 165–170.
Shrestha, B. P., Duckstein, L., and Stakhiv, E. Z.(1996). “Fuzzy rule-based modeling of reservoir operation.” J. Water Resour. Plan. Manage., 122, 262–268.
Stedinger, J. R., Sule, B. F., and Loucks, D. P.(1984). “Stochastic dynamic programming models for reservoir operation optimization.” Water Resour. Res., 20(11), 1499–1505.
Teegavarapu, R. S. V., and Simonovic, S. P.(1999). “Modeling uncertainty in reservoir loss functions using fuzzy sets.” Water Resour. Res., 35(9), 2815–2823.
Tejada-Guibert, A., Johnson, S. A., and Stedinger, J. R.(1993). “Comparison of two approaches for implementing multireservoir operating policies derived using stochastic dynamic programming.” Water Resour. Res., 29(12), 3969–3980.
Tejada-Guibert, A., Johnson, S. A., and Stedinger, J. R.(1995). “The value of hydrologic information in stochastic dynamic programming models of a multireservoir system.” Water Resour. Res., 31(10), 2571–2579.
Tilmant, A., Persoons, E., and Vanclooster, M. (2001). “Deriving efficient reservoir operating rules using flexible stochastic dynamic programming.” Proc., 1st Int. Conf. on Water Resources Management, WIT Press, U.K. 353–364.
Werners, B. (1988). “Aggregation models in mathematical programming.” Mathematical models for decision support, G. Mitra, Berlin, Heidelberg, New York, London, Paris, Tokyo.
Yager, R.(1978). “Fuzzy decision making including unequal objectives.” Fuzzy Sets Syst., 1, 87–95.
Yakowitz, S.(1982). “Dynamic programming applications in water resources.” Water Resour. Res., 18(4), 673–696.
Yeh, W. W.-G.(1985). “Reservoir management and operations models: A state-of-the art review.” Water Resour. Res., 21(12), 1797–1818.
Zimmermann, H.-J. (1987). Fuzzy sets, decision making, and expert systems, Kluwer Academic, Boston.
Zimmermann, H.-J. (1991). Fuzzy set theory and its application, 2nd Ed., Kluwer Academic, Norwell, Mass.
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Published In
Journal of Water Resources Planning and Management
Volume 128 • Issue 6 • November 2002
Pages: 390 - 398
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Nov 10, 2000
Accepted: Nov 28, 2001
Published online: Oct 15, 2002
Published in print: Nov 2002
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