Secondary Stochastic Processes and Storage Reservoir Optimization

Abstract

In the first two sections of the paper, stream flow is investigated on a probability theoretical basis. We will show that under some realistic conditions its probability distribution is of gamma type. In the model of the third section the optimal capacity of a storage reservoir is determined. In the model of the fourth section optimal water release policy is sought, given that water demands should be met by a prescribed large probability. Finally, in the last fifth section, in addition to the before mentioned reliability type constraint an upper bound is imposed on the number of days when demands may not be met and the cost of the intake facility is to be minimized.