| 带有时变短缺量拖后率且需求依赖库存水平的EOQ模型 |
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| 引用本文： | 闵杰,周永务.带有时变短缺量拖后率且需求依赖库存水平的EOQ模型[J].系统管理学报,2010,19(2). |
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| 作者姓名： | 闵杰 周永务 |
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| 作者单位： | 1. 安徽建筑工业学院,数理系,合肥,230601
2. 华南理工大学,工商管理学院,广州,510640 |
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| 基金项目： | 国家自然科学基金，高等学校全国优秀博士学位论文作者专项基金，安徽省教育厅自然科学基金重点项目，安徽省自然科学基金 |
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| 摘 要： | 基于需求线性依赖于库存水平的变质性物品的EOQ模型,通过考虑随时间变化的短缺量拖后率对库存订货策略的影响,建立了一类具有一般形式的短缺部分拖后的库存补充模型.经过分析得到了此类库存模型最优解存在的必要条件,并针对随缺货时间变化的短缺拖后率函数具体研究了模型最优解的存在性与惟一性.最后,给出了数值算例说明了模型在实际中的应用.
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| 关 键 词： | 库存 变质物品 需求依赖库存 短缺量拖后率 |
An EOQ Model with Time-Dependent Partial Backlogging Rate and Inventory-Level-Dependent Demand Rate |
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| MIN Jie,ZHOU Yong-wu.An EOQ Model with Time-Dependent Partial Backlogging Rate and Inventory-Level-Dependent Demand Rate[J].Systems Engineering Theory·Methodology·Applications,2010,19(2). |
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| Authors: | MIN Jie ZHOU Yong-wu |
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| Institution: | MIN Jie~1,ZHOU Yong-wu~2(1.Department of Mathematics& Physics,Anhui University of Architecture,Hefei 230601,China,2.School of Business Administration,South China University of Technology,Guangdong 510640,China) |
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| Abstract: | Based on the EOQ model for deteriorating items under linear stock-dependent selling rate,this paper develops a more general inventory model with partial backlogging,where the backlogged demand rate is time dependent.From some analysis,the necessary condition for the existence of optimal solution to the general model is derived.Particularly,when the time-varying partial backlogging rate is negative exponential type,then we provide the necessary and sufficient conditions of the existence and uniqueness of the... |
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| Keywords: | inventory deteriorating items stock-dependent selling rate partial backlogging |
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