Abstract
a well-known generating function formula for the equilibrium storage distribution in a finite Moran reservoir having IID inflows and unit release is extended to apply to a class of nondecreasing staircase-like release policies withm unit increments,m>1, and to seasonal inflows. The analysis is conducted in terms of an alternative to the Moran inflow-outflow sequencing scheme, with the release during a working interval controlled by the water level at the beginning of that interval.
In addition to the storage, the equilibrium distributions of yield and spillage are obtained. Illustrative examples are provided.
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Lloyd, E.H., Warren, D. The GF algorithm for reservoir storage, yield and spillage distributions for non-seasonal and seasonal independent inflow processes. Stochastic Hydrol Hydraul 6, 135–149 (1992). https://doi.org/10.1007/BF01591335
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DOI: https://doi.org/10.1007/BF01591335