Multireservoir Optimization Model

by James S. Windsor, Senior Lecturer; Civ. Engrg. Dept., Univ. of Natal, Durban, Union of South Africa,
Ven Te Chow, Prof. of Hydr. Engrg.; Univ. of Illinois, Urbana-Champaign, IL,

Serial Information: Journal of the Hydraulics Division, 1972, Vol. 98, Issue 10, Pg. 1827-1845

Document Type: Journal Paper


The analysis of river basin developments is viewed as a multilevel optimization problem. In this particular study, mixed integer programming is coupled with historical, or stochastically generated, streamflow sequences to derive the optimal design for a complex river basin development. In formulating the model, emphasis is placed on the interrelationships which exist between the various components of the system and the coordination and integration of these components into a single economic unit. The model is designed to determine simultaneously the optimal set and sizes of reservoirs in the system, the optimal target outputs for the tangible water uses, power and irrigation, and the optimal operating procedure for attaining these outputs subject to the technological constraints. Intangible water users, such as recreation and water quality control, are treated as optional constraints and their imputed values are obtained by a multiple solution technique. Part of the input to this model is provided by the irrigation submodel developed in a previous study.

Subject Headings: Optimization models | Hydrologic models | Water-based recreation | Water quality | Reservoirs | Rivers and streams | Basins | Hydraulic design

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