Stochastic Reservoir Systems with Different Assumptions for Storage Losses  

作　　者：Carter Browning Hillel Kumin Carter Browning;Hillel Kumin(Halliburton Drill Bits and Services, Oklahoma City, OK, USA;School of Industrial and Systems Engineering, University of Oklahoma, Norman, OK, USA)

机构地区：[1]Halliburton Drill Bits and Services, Oklahoma City, OK, USA [2]School of Industrial and Systems Engineering, University of Oklahoma, Norman, OK, USA

出　　处：《American Journal of Operations Research》2016年第5期414-423,共11页美国运筹学期刊（英文）

摘　　要：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.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.

关 键 词：Stochastic Storage Systems Storage Losses Probability of Emptiness and Overflow 

分 类 号：O17[理学—数学]