Author(s)

Carter Browning¹, Hillel Kumin²

¹Halliburton Drill Bits and Services, Oklahoma City, OK, USA.
²School of Industrial and Systems Engineering, University of Oklahoma, Norman, OK, USA.

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.

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

Browning, C. and Kumin, H. (2016) Stochastic Reservoir Systems with Different Assumptions for Storage Losses. American Journal of Operations Research, 6, 414-423. doi: 10.4236/ajor.2016.65038.