关键词: 不完备质量, 报童模型, 马尔可夫链, 最优订购策略, 评估机制

Abstract: Under the situation with imperfect quality, we consider the newsboy problem with the demand that is dependent on quality level. In this paper, the dynamic evolution process of the relationships between quality level and demand is characterized by Markovian theorem, and a new optimization model and its decision-making mechanism for stochastic inventory system are proposed by the theoretical framework of newsvendor model with the imperfect quality. Moreover, the fundamental properties in the stochastic process such as first-arrival, ergodicity and irreducibility are used to construct the robustness and evaluation mechanism of profit in the operation and management process for the stochastic inventory system. The relevant conclusion in the model shows that under the situation with imperfect quality, retailer’s optimal order quantity is determined on the transition probability of each quality status, and if a stochastic process derives from fluctuation of quality level which is a ergodic irreducible Markov chain, the decision-making mechanism in the inventory system has a good robustness.

Key words: imperfect quality, newsboy model, Markov chain, optimal order quantity, evaluation mechanism