The aim of stochastic inventory control is to determine the timing of issuing replenishment order and the corresponding order quantity subject to uncertainty of demand and/or other system parameters. In this literature survey we focus on the single-item single-stocking location stochastic inventory control problem. More specifically, we survey exact and heuristic models under stationary and non-stationary demand according to uncertainty strategies proposed by Bookbinder and Tan (1988).
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