A Mixed-Integer Linear Optimization Model for Reservoir Sizing Incorporating Performance Measures: Deterministic and Stochastic Frameworks
Publication: Journal of Water Resources Planning and Management
Volume 148, Issue 7
Abstract
This paper proposes an optimal sizing strategy for water storage reservoirs that takes into account the minimum allowed number of failure periods (measure of reliability) and the maximum allowed failure magnitude (measure of vulnerability). The optimization model follows the standard operating policy for reservoir release decision—as in typical design procedures that account for failure—and is compared to an alternative mixed-integer linear programming model that uses an open-loop release policy. Deterministic and implicit stochastic versions of the model are presented, which perform efficiently for several example problems, indicating that higher storage capacities are required for higher sustainability (more reliable and less vulnerable operation) and lower risk.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
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© 2022 American Society of Civil Engineers.
History
Received: Oct 25, 2021
Accepted: Mar 24, 2022
Published online: May 11, 2022
Published in print: Jul 1, 2022
Discussion open until: Oct 11, 2022
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