| 基于合作和竞争的供货商与销售商库存模型 |
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| 引用本文： | 王圣东.基于合作和竞争的供货商与销售商库存模型[J].系统工程学报,2007,22(1):98-102. |
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| 作者姓名： | 王圣东 |
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| 作者单位： | 解放军电子工程学院数学教研室,安徽,合肥,230037 |
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| 基金项目： | 国家自然科学基金;教育部跨世纪优秀人才培养计划;教育部全国优秀博士学位论文作者专项基金;合肥工业大学校科研和教改项目;安徽省高校青年教师科研项目 |
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| 摘 要： | 在一般的供货商与销售商联合生产库存模型中均做了如下假定:1)系统不允许缺货发生;2)在一个生产周期内供货商向销售商任意连续两次供货量之间的比值相同.文章放松上述假定,针对供货商与销售商合作和竞争这两种情形,分别建立了不同的库存模型,给出了寻求模型最优策略的分析方法.并证明了竞争情形下,由供货商与销售商所构成的两人一般和博弈在约束条件下Nash均衡的存在性,最后给出数字实例以说明上述模型的求解过程.
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| 关 键 词： | 库存 合作 竞争 Nash均衡 |
| 文章编号： | 1000-5781（2007）01-0098-05 |
| 收稿时间： | 2005-02-28 |
| 修稿时间： | 2005-02-282006-10-26 |
Vendor-buyer inventory models based on cooperative and competitive situations |
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| WANG Sheng-dong.Vendor-buyer inventory models based on cooperative and competitive situations[J].Journal of Systems Engineering,2007,22(1):98-102. |
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| Authors: | WANG Sheng-dong |
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| Institution: | Department of Mathematics, Electronic Engineering Institute of PLA, Hefei 230037, China |
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| Abstract: | In the general vendor-buyer integrated production inventory models,there exist two common assumptions: First,shortages are not allowed to occur in the system.Second,the successive shipments to the buyer within a production batch increase by a fixed factor.In this paper,we relax these assumptions and develop two different vendor-buyer inventory models under the cooperative and competitive situations,respectively.An analytical solution is provided for finding the optimal production and shipment policies.The existence of Nash equilibrium in the game for vendor and buyer is proved under competitive situation.Numerical example is given to illustrate the solution procedure. |
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| Keywords: | inventory cooperation competition Nash equilibrium |
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