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http://dx.doi.org/10.1016/0038-092X(78)90064-6

has been cited by the following article:

• TITLE: Stochastic Reservoir Systems with Different Assumptions for Storage Losses

  AUTHORS: Carter Browning, Hillel Kumin

  KEYWORDS: Stochastic Storage Systems, Storage Losses, Probability of Emptiness and Overflow

  JOURNAL NAME: American Journal of Operations Research, Vol.6 No.5, September 28, 2016

  ABSTRACT: Moran considered a dam whose inflow in a given interval of time is a continuous random variable. He then developed integral equations for the probabilities of emptiness and overflow. These equations are difficult to solve numerically; thus, approximations have been proposed that discretize the input. In this paper, extensions are considered for storage systems with different assumptions for storage losses. We also develop discrete approximations for the probabilities of emptiness and overflow.