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.
出处
《系统工程学报》
CSCD
北大核心
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)
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
stochastic replenishment interval
stock-dependent selling rate
deteriorating item
inventory control
partial backlogging