Abstract
This paper provides an optimization model which, when designing with the reservoir operation rule, can minimize the expected welfare loss per period. The model can fall into the category of the so-called chance-constrained model, whereby two different types of chances, i.e., ‘expected drought duration’ and ‘drought frequencies’, are explicitly taken into account by defining two types of state variables. These state variables designate the maximum available amounts of water for release and specify the occurrence of a drought. The model can be formulated in the form of a stochastic linear programming model. A practical approximation method is presented to purify the mixed strategies for a single reservoir operation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Askew, A.J. (1974) “Chance-constrained dynamic programming and the optimization of water resources system”, Water Resources Research 10 (6), 1099–1106.
Hashimoto, T., Stedinger, J. R. and Loucks, D. P. (1982) “Reliability, resiliency, vulnerability criteria for water resource system performance evaluation”, Water Resources Research 18 (1), 14–20.
Little, J. D. C. (1955) “The use of storage water in hydroelectric system”, Operations Research 3, 187–197.
Lloyd, E. H. (1963) “Reservoirs with serially correlated inflows”, Technometrics 5 (1), 85–93.
Loucks, D. P. (1968) “Computer models for reservoir regulations”,Journal of the Sanitary Engineering Division, ASCE, 94(SA4), 657–669.
Loucks, D. P. and Falkson, L. M. (1970) “A comparison of some dynamic, linear and policy iteration methods for reservoir operation”, Water Resources Bulletin 6 (3), 384–400.
Moran, P. A. P. (1954) “A probability theory of dams and storage systems”, Australian Journal of Applied Science 5, pp. 116–124.
Prabhu N. U. (1964) “Time-dependent results in storage theory”, Journal of Applied Probability 1, 1–46.
Rossman, L. (1977) “Reliability-constrained dynamic programming and randomized release rules in reservoir management”, Water Resources Research 13 (2), 247–255.
Sniedovic, M. (1979) “Reliability-constrained reservoir control problems, 1. Methodological issues”, Water Resources Research 15 (6), 1574–1582.
Sniedovic, M. (1980) “A variance-constrained reservoir control problem”, Water Resources Research 16 (2), 271–274.
Tatano, H. and Okada, N. (1990) “Reliability analysis and evaluation of river-basin systems with reference to safety against drought”, Proc. of the International Symposium on Water Resource Systems Application, 64–73.
Tatano, H., Okada, N. and Kawai, H. (1992) “Optimal operation model of a single reservoir with drought duration explicitly concerned”, Stochastic Hydrology and Hydraulics, 6 (2), 123–134.
Yakowitz, S. (1982) “Dynamic programming applications in water resources”, Water Resources Research 18 (4), 673–696.
Yeh, W. W-G. (1985) “Reservoir management and operation models: a state-of-the-art review”, Water Resources Research 21 (12), 1797–1818.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Tatano, H., Okada, N., Yoshikawa, K., Kawai, H. (1994). A Frequency and Duration Constrained Model for the Optimization of a Single Reservoir Operation. In: Hipel, K.W., Fang, L. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3081-5_28
Download citation
DOI: https://doi.org/10.1007/978-94-017-3081-5_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4380-1
Online ISBN: 978-94-017-3081-5
eBook Packages: Springer Book Archive