Abstract
Though exact solutions of the problems of the distribution of storage and emptiness of dam are available for simple release scheme with exponential, Gamma and Poisson inputs under stationary state conditions and for Holdaway release scheme with exponential input under stationary as well as nonstationary conditions, the exact expressions for the characteristic functions and moments of these distributions have not been given. In this paper, simple and explicit expressions for the characteristic functions and moments of the distribution of storage have been derived under nonstationary as well as stationary conditions with exponential input for simple release rules. The distribution of the outflows below the dam, its characteristic function and moments have also been derived in this paper. The results obtained herein thus provide for the exact values of the useful measures like mean and variance of the storage and outflows below the dam at any point of time as well as for the stationary states. The method developed here can be extended to the more general cases where telease rules obey Holdaway scheme.
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