Generalized Linear Two-Point Hedging Rule for Water Supply Reservoir Operation

Abstract

A generalized linear two-point hedging rule is proposed for the operation of a water supply reservoir that integrates four possible linear two-point hedging types, which are identified based on two possibilities of starting water availability and two possibilities of ending water availability, arising from the respective bounds on release and carryover storage being active. The proposed rule is appropriately parameterized for implementation into a simulation-optimization (S-O) framework to investigate the trade-off between the shortage characteristics, total shortage ratio, and Vulnerability resulting from the long-term monthly operation of a water supply reservoir, and the efficacy of the same is illustrated using a case example, namely the Dharoi reservoir, located on the Sabarmati River in India. Significant improvement in the reservoir performance trade-off is achieved by the proposed generalized linear two-point hedging rule over the conventional standard operating policy (SOP)-based linear two-point hedging rule for the cases of constant as well as time-varying hedging parameters.