一类梯形需求且允许缺货的两货栈库存系统的最优补货策略  

An Optimal Two-warehouse Replenishment Policy with Trapezoidal Type Demand and Partial Backlogging

作　　者：徐春明[1] 赵道致[2] 

机构地区：[1]天津理工大学理学院数学系,天津300384 [2]天津大学管理与经济学部,天津300072

出　　处：《数学的实践与认识》2016年第23期38-48,共11页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71472134;71072155)

摘　　要：已有关于梯形需求的产品库存问题多集中在单一货栈的框架内讨论,而这一需求类型的两货栈问题还鲜有被研究.对此,在允许缺货的条件下,考虑租用货栈以及拖后延迟补货的情况,建立了以系统平均成本最小为目标的两货栈库存模型,从而将现有基于梯形需求的库存问题作了进一步扩展.然后分析了此类库存系统最优策略的存在性和唯一性,并提供了求解模型的算法,最后用数值例子和敏感性分析对所建模型进行了说明.The existed inventory models consider trapezoidal demand in single-warehouse frame. Up to now, few two-warehouse models have considered demand rate to be a trape- zoidal function of time. In this paper, a two-warehouse inventory model is developed for single product with trapezoidal type demand. Shortages are allowed with partial backlogging rate of unsatisfied demand, which is exponential function of the waiting time up to the next re- plenishment. The model with the goal of minimizing the total average cost is investigated, so the existed inventory system with trapezoidal type demand is further extended. The exis- tence and uniqueness of optimal replenishment policy are proved, and then a simply solution procedure for optimal strategy is given. Finally, numerical examples and sensitivity analyses are presented to illustrate the developed model.

关 键 词：两货栈 梯形需求 短缺量部分拖后 库存模型 

分 类 号：F274[经济管理—企业管理]