| Weibull分布变质物品库存模型研究 |
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| 引用本文： | 黄卫来,黄松.Weibull分布变质物品库存模型研究[J].工业工程与管理,2007,12(2):72-75,101. |
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| 作者姓名： | 黄卫来 黄松 |
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| 作者单位： | 华中科技大学,管理学院,湖北,武汉,430074 |
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| 摘 要： | 研究了变质物品在考虑资金时间价值时的经济订货批量问题.假定物品的变质率服从两参数的Weibull分布,物品的需求率与库存水平有关,且为库存水平的线性函数,计划时域内进行多次订货,订货时间间隔相等,允许缺货且短缺量完全拖后,以库存系统的总费用最小为目标函数,建立了变质物品在存货依赖性需求下考虑资金时间价值时的最优订货批量模型,分析了模型存在唯一的最优解的必要条件,并且给出了在该条件下求解模型最优解的算法,最后给出了一个计算实例.
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| 关 键 词： | EOQ模型 资金时值 存货依赖性需求 Weibull分布 |
| 文章编号： | 1007-5429（2007）02-0072-04 |
| 修稿时间： | 2006-04-252006-08-10 |
An Inventory Model for Deteriorative Items with Weibull Distribution under Stock-dependent Demand |
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| HUANG Wei-lai,HUANG Song.An Inventory Model for Deteriorative Items with Weibull Distribution under Stock-dependent Demand[J].Industrial Engineering and Management,2007,12(2):72-75,101. |
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| Authors: | HUANG Wei-lai HUANG Song |
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| Affiliation: | College of Management, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | The economic order quantity problem with deteriorating items taking account of time-value of money is investigated. On the condition that the deteriorating rate is Weibull distribution, the demand rate is time-dependent and is linear function of the inventory level, the total planned time horizon is divided into several equal intervals, storage is allowed with complete backlogging in planned horizon, an optimal order quantity model with deteriorating items based on the minimization of total cost is established taking account of time value of money under stock dependent selling rate. The necessary condition that there is only one optimal solution to the proposed model is given. At last, a solution procedure and an applied numerical example are also presented. |
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| Keywords: | EOQ model time-value of money stock-dependent demand weibull distribution |
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