变质率呈Weibull分布的易腐品联合补货优化

Joint Replenishment Optimization of Perishable Products with Metamorphic Rate in Weibull Distribution

摘要: 本文研究了在无限时间范围内，需求服从随时间递增的指数分布，变质率呈三参数Weibull分布的多品种易腐品联合补货的库存模型，目标是通过确定每种产品的补货周期，使得单位时间内，零售商的总成本最小。本文的难点有以下：首先，确定物品变质期间的库存持有成本和变质成本；其次，由于联合补货问题是个NP HARD问题，所以模型复杂，不易求解。根据以上难点，本文首先对模型中存在的指数及对数函数进行泰勒展开实现简化，同时应用文献[14]中的差分进化算法求得最优解。为易腐品的零售商在实施联合补货时提供有益的管理建议。

Abstract: This paper studies the exponential distribution of demand obeying in time in an infinite time range. The metamorphic rate is a three-parameter Weibull distribution of multi-variety perishables combined replenishment inventory model, and the goal is to determine the replenishment cycle of each product. The total cost of the retailer is minimized per unit time. The difficulties in this paper are as follows: First, determine the inventory holding cost and deterioration cost during the deterioration of the item; secondly, because the joint replenishment problem is an NP HARD problem, the model is complex and difficult to solve. According to the above difficulties, this paper firstly simplifies the Taylor expansion of the exponential and logarithmic functions existing in the model, and uses the differential evolution algorithm in [14] to obtain the optimal solution. Retailers for perishables provide useful management advice when implementing joint replenishment.