Abstract
This paper presents an application of chance‐constrained goal programming methodology to a system of multipurpose reservoirs. Several objectives which may be conflicting and noncommensurate such as flood protection, municipal and industrial (M&I) water supply, hydroelectric power generation, recreation, etc. are considered in the model. The system goals and constraints are expressed either deterministically or probabilistically depending on whether the random variable term for inflow into a reservoir is present or not. For a constraint, the requirement must be strictly satisfied. For a goal, it is desired to achieve the solution which is as close as possible to the specified target. Stochastic inflows with one period correlation in successive periods are explicitly considered with conditional distribution functions based on normal and lognormal distributions of inflows provided. The application of the methodology to a three‐reservoir system in Oklahoma is reported. The proposed model uses a time period of a month and may be employed for planning rather than real‐time applications.
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