随机补货间隔且存货影响销售的变质品EOQ模型  

EOQ model for deteriorating items with stochastic replenishment interval and stock-dependent selling rate

作　　者：杨善林[1,2] 许广繁[1,2] 王晓佳[1,2] 杨昌辉[1] 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009 [2]过程优化与智能决策教育部重点实验室,安徽合肥230009

出　　处：《系统工程学报》2016年第1期101-110,共10页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(71071045;71131002;71101041);教育部人文社会科学基金资助项目(11YJC630248);安徽省教育厅人文社会科学基金(2013AJRW0140)

摘　　要：基于存货影响销售的变质物品EOQ模型,通过考虑随机补货时间间隔和随缺货量变化的延期供给率对库存订货策略的影响,建立了相应的库存控制模型,分析了模型最优解的存在性和唯一性,并给出了数值算例和主要参数的灵敏度分析.研究结果表明:销售价格,存货影响销售率系数和随机补货时间间隔对销售商订货策略和利润有较大影响.Based on the EOQ model for deteriorating items with stock-dependent selling rate, this paper develops a more general inventory model with stochastic replenishment interval and partial backlogging, where the backlogged demand rate is shortages-level dependent. The necessary and sufficient conditions of the existence and uniqueness of the optimal solutions are provided, a numerical example and key parameters＇ sensitivity are shown to illuminate the presented model. It is shown that the selling price, the stock-dependent selling rate factor and stochastic replenishment interval influence distributors＇ ordering strategy and average expected profit more than other factors.

关 键 词：随机补货间隔 存货影响销售 变质物品 库存控制 部分延期供给 

分 类 号：F227.07[经济管理—国民经济]