时变需求下部分欠拨待补的易损耗品最优批量库存模型

Optimal lot-sizing deterioration inventory model with partial backlogging for time-varying demand

为使传统库存问题中缺货的假设与企业实际情况相符,重新定义需求率与部分欠拨待补率为时间的函数,并考虑因缺货而引发的机会成本,建立了时变需求的易损耗品库存模型.在模型构建过程中证明了最小化总成本的最优解也能将总利润最大化,且最优补货策略具有单调的特殊性质.此外,考虑最初补货周期中的各项成本关系给出了提高模型求解效率的简单启发算法,并通过算例验证了模型和算法的有效性.

To define an appropriate partial backlogging rate to make the present model general and realistic for deteriorating items with time-varying demand,the opportunity cost due to lost sales was considered,the model shows that the optimal solution minimizing the total cost is exactly the one that maximizing the profit.In addition,the optimal replenishment policy still possesses the monotonicity properties was verified.Moreover,to generate a good estimation of the first replenishment time,it provide a simple heuristic by considering a relation between the cost components in the first cycle.