关键词: 冷链品, 生存死亡特征, 库存管理, 补货定价策略, 直接法

Abstract: An inventory ordering and pricing policy for deteriorating items which has Weibull survival and death characteristics and continuous stochastic demands influenced by price during an infinite time-horizon is discussed. In the system, the demand rate is exponential function of price while the deteriorating rate obeys three parameters Weibull distribution and replenishment lead time is a fixed variable. The objective is to maximize the system’s total average expected profit based on a continuous review(r,Q)policy. The Direct Approach-Taylor series expansion is applied which can avoid the complexity of solving stochastic differential equations to obtain the optimal strategy. Some conclusions are obtained by using the matlab and sensitivity analysis in numeric examples simulation. First, with the increase of the replenishment lead time and unit warehousing costs, the average profit is decreasing. Second, the increase of the unit processing costs affects the replenishment quantity within some limits, and eventually leads to the decline of the system average profit. Third, with a fixed shelf life time, the environment factors have negative correlation with the average profit. These discoveries are good for the improvement of the model and have certain guidance to the real problems.

Key words: deteriorating items, survival and death characteristics, inventory management, ordering and pricing policy, Direct Approach