可变定货费用情形下变质性物品经济批量问题

传统的确定性经济批量模型通常都假定每周期的定货费用是固定不变的。放松了这个假定，并在每周期的定货费线性地依赖于定货量的假定下，发展了带有线性增加需求的变质性物品在有限计划期内的经济批量模型。在该模型中，允许短缺发生且假定短缺完全拖后。证明了该模型具有唯一的整体最优解，并提供了一种简单的求解过程和应用实例。

Economic Lot-Sizing Problem for Deteriorating Items Under the Situation of Variable Ordering Cost

In the traditional economic lot-size models, there exists a common assumption that the order cost is fixed and inflexible during every order cycle. In this paper, we relax this assumption and assume that the order cost for each cycle depends linearly on the order lot-size. We develop an economic lot-size model for deteriorating items with linearly increasing demand during the finite planning period in which shortages are allowed to occur and backlogged completely. The proof is provided for existing the unique optimal replenishment schedule in the paper. A simple solution procedure and numerical examples for illustrating the solution procedure are also given.