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| 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 | |
| 引用本文： | 陈六新,李军,谢天帅.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[J].数学的实践与认识,2009,39(8). |
| 作者姓名： | 陈六新 李军 谢天帅 |
| 作者单位： | 1. 西南交通大学,经济管理学院,四川,成都,610031;重庆邮电大学,应用数学研究所,重庆,400065 2. 西南交通大学,经济管理学院,四川,成都,610031 3. 重庆邮电大学,经济管理学院,重庆,400065 |
| 基金项目： | 高等学校博士学科点专项科研基金，教育部新世纪优秀人才支持计划 |
| 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. |
| 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 |
A Production-inventory Model for Perishable Goods with Price-and Stock-dependent Demand Rate and Time-dependent Partial Backlogging |
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| CHEN Liu-xin,LI Jun,XIE Tian-shuai.A Production-inventory Model for Perishable Goods with Price-and Stock-dependent Demand Rate and Time-dependent Partial Backlogging[J].Mathematics in Practice and Theory,2009,39(8). | |
| Authors: | CHEN Liu-xin LI Jun XIE Tian-shuai |
| Abstract: | In this paper,we present a production-inventory model by proposing a time-dependent 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 stock-dependent.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. |
| Keywords: | perishable goods time-dependent backlogging production-inventory price-and stock-dependent demand rate |
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