OPTIMALITY OF STATE‐DEPENDENT ( s, S ) POLICIES IN INVENTORY MODELS WITH MARKOV‐MODULATED DEMAND AND LOST SALES
研究了在马尔可夫调制需求和销售损失情况下，库存模型中状态依赖(s, S)策略的最优性，对零售业库存管理有参考价值。
Markov‐modulated processes have been used in stochastic inventory models with setup costs for modeling demand under the influence of uncertain environmental factors, such as fluctuating economic and market conditions. The analyses of these models have been carried out in the literature only under the assumption that unsatisfied demand is fully backlogged. The lost sales situation occurs in many retail establishments such as department stores and supermarkets. We use the analysis of the Markovian demand model with backlogging to analyze the lost sales case; in particular, we establish the optimality of an ( s, S)‐type policy under fairly general conditions.