Abstract
The infinite horizon, optimal design problem of a water resources system is analyzed first under the assumption that the hydrometeorologic inflow process is cyclostationary, and then under the assumption that it is non-stationary. It is shown that in the second case, even if an optimal solution is proved to exist, it cannot be determined. It is finally shown how a near-stationarity assumption can provide a pragmatic solution and that it leads to two alternative inflow models: a stochastic or a setmembership model. It is finally shown how the design problem can be solved when the first model is adopted.
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References
Bertsekas D.P. (1976). Dynamic Programming and Stochastic Control. Academic Press, New York.
Caselton W. F. and Luo W. (1992). Decision making with imprecise probabilities: Dempster-Shafer theory and application. Water Res. Research, 28 (12): 3071–3083.
Caselton W. F and Luo W. (1994). Inference and decision under near ignorance conditions. In this Volume.
Cohon J. L. and Marks D.H. (1975). A review and evaluation of multiobjective programming techniques. Water Res. Research, 11 (2): 208–220.
French S. (1988). Decision Theory: an Introduction to the Mathematics of Rationality. Ellis Horwood, Chichester, UK.
Krzysztofowicz R. and Jagannathan E.V. (1981). Stochastic reservoir control with multiattribute utility criterion. In Decision Making for hydrosystems: forecasting and operation (T.E. Unny and E.A. McBean eds), Water Res. Publications, Littleton, Colorado.
Nardini A. and Soncini-Sessa R. (1989). How to embed remote sensing into real time water reservoir management. In Remote sensing in evaluation and management of irrigation (M. Menenti ed.), INCYTH, Mendoza, Argentina.
Nardini A., Soncini-Sessa R. and Zuleta J. (1988). Effects of reclamation plans on water shortages and flood protection. Proc. of the IV Int. IFAC Symposium on System Analysis Applied to Management of Water Resources, Rabat, Morocco.
Orlovski S., Rinaldi S. and Soncini-Sessa R. (1983). A Min-max approach to storage control problems. Applied Math. and Comp., 12 (2–3):237–254.
Piccardi C. and Soncini-Sessa R. (1991). Stochastic dynamic programming for reservoir optimal control: dense discretization and inflow correlation assumption made possible by parallel computing. Water Res. Research, 27 (5): 729–741.
Soncini-Sessa R. and Karbowski A. (1994). Design and control of water systems in presence of inflow scenarios. In this Volume.
Su S. Y. and Deininger R. A. (1972). Generalization of White’s method of successive approximations to periodic Markovian decision processes. Operations Research, 20 (2): 318–326.
White D. J. (1963). Dynamic programming, Markov chains, and the method of successive approximations. J. Math. Anal. Appl, 6: 373–376.
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© 1994 Springer Science+Business Media Dordrecht
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Soncini-Sessa, R. (1994). Design and Control of Water Systems under Unsteady Conditions. In: Duckstein, L., Parent, E. (eds) Engineering Risk in Natural Resources Management. NATO ASI Series, vol 275. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8271-1_3
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DOI: https://doi.org/10.1007/978-94-015-8271-1_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4441-9
Online ISBN: 978-94-015-8271-1
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