价格和库存均影响需求、部分拖后供给的易变质品生产库存  

A Production-inventory Model for Perishable Goods with Price-and Stock-dependent Demand Rate and Time-dependent Partial Backlogging

作　　者：陈六新[1,2] 李军[1] 谢天帅[3] 

机构地区：[1]西南交通大学经济管理学院,四川成都610031 [2]重庆邮电大学应用数学研究所,重庆400065 [3]重庆邮电大学经济管理学院,重庆400065

出　　处：《数学的实践与认识》2009年第8期61-67,共7页Mathematics in Practice and Theory

基　　金：高等学校博士点专项基金(20030613016);教育部新世纪优秀人才支持计划基金(NCET-04-0886)

摘　　要：考虑产品的需求率受库存和销售价格的影响,拖后供给因子与需求得到满足的实际等待时间有关,建立了易变质品生产库存模型,给出了寻求最优生产策略和销售价格的方法,并分析参数变化对于平均利润、销售价格和服务率的影响.In this paper, we present a production-inventory model by proposing a timedependent backlogging rate to make theory more applicable in practice, present a method for finding the optimal replenishment schedule for the production lot size model with deteriorating items on the condition that the consumer are served on first come first served basis, where production rate and deteriorating rate is constant, and the demand rate is price-and stockdependent. We propose the method for finding the solution. We generalize the presented model. A sensitivity analysis of the optimal solution with respect to parameters of the system is carried out.

关 键 词：易变质品 时变拖后供给 生产库存 价格库存影响需求 

分 类 号：O227[理学—运筹学与控制论] F273[理学—数学]