Research Article
Dec 1973
Chance-Constrained Model of System of Reservoirs
Authors: Guy L. Curry, James C. Helm, and Robert A. Clark, M.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 99, Issue 12
Abstract
In this paper chance-constrained programming is used to model a system of linked multipurpose reservoirs. The objective of the model is to determine an optimal operating policy for a given time sequence of minimum and maximum reservoir levels. The unregulated inflows into the reservoirs are assumed to be stochastic with a known distribution for each time frame. The chance-constraints, based on material balance equations, are converted to an equivalent linear deterministic constraint set. The linked system model is a natural extension of the single reservoir model. The problem of stochastic demands as well as stochastic inflows is shown to be a straightforward generalization of the stochastic inflow problem. Since the resulting constraints for these models are linear and the decision variables are deterministic rather than random variables, linear, quadratic, and even general convex objective functions can be readily handled.
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Published In
Journal of the Hydraulics Division
Volume 99 • Issue 12 • December 1973
Pages: 2353 - 2366
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Dec 1973
Published online: Feb 3, 2021
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Authors
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Guy L. Curry
Asst. Prof. of Industrial Engrg., Texas A&M Univ., College Station, Tex
James C. Helm
Systems Analyst, Teledyne Brown Engrg., Huntsville, Ala
Robert A. Clark, M.ASCE
Prof. of Meteorology, Texas A&M Univ., College Station, Tex
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.