| 基于微分变分不等式的多商品流网络动态模型 |
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| 引用本文： | 陈兆波,刘媛媛,王文利,滕春贤.基于微分变分不等式的多商品流网络动态模型[J].应用泛函分析学报,2014,16(3):193-203. |
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| 作者姓名： | 陈兆波 刘媛媛 王文利 滕春贤 |
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| 作者单位： | 1. 太原科技大学经济与管理学院,太原,030024
2. 哈尔滨理工大学系统工程研究所,哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金，黑龙江省教育厅人文社科重点项目，太原科技大学校博士启动基金项目 |
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| 摘 要： | 针对由多个制造商和多个零售商构成并且具有多商品流的供应链网络,建立了制造商、零售商之间从事微分Nash博弈的供应链网络动态模型.首先,在介绍微分变分不等式定义的基础上,利用微分变分不等式的方法建立了制造商、零售商以及供应链网络的均衡条件.然后,在正则条件下分析了供应链网络动态模型解的存在性条件.最后,利用数值算例验证了模型的合理性.
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| 关 键 词： | 供应链网络 微分Nash博弈 均衡 微分变分不等式 |
The Dynamic Model of Supply Chain Network with Multi-products Flow Based on Differential Variational Inequality |
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| CHEN Zhaobo,LIU Yuanyuan,WANG Wenli,TENG Chunxian.The Dynamic Model of Supply Chain Network with Multi-products Flow Based on Differential Variational Inequality[J].Acta Analysis Functionalis Applicata,2014,16(3):193-203. |
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| Authors: | CHEN Zhaobo LIU Yuanyuan WANG Wenli TENG Chunxian |
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| Institution: | CHEN Zhaobo, LIU Yuanyuan, WANG Wenli, TENG Chunxian (1. School of Economics and Management, Taiyuan University of Science and Technology, Taiyuan 030024, China; 2. Institute of Systems Engineering, Harbin University of Science and Technology, Harbin 150080, China) |
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| Abstract: | This paper considers a dynamic model of supply chain network with multi-products flow, which is comprised of multiple no cooperative manufactures and retailers engaging in differential Nash game. Firstly, based on the definition of differential variational inequality, the equilibrium conditions of the manufacturers and retailers as well as the supply chain network are formulated as differential variational inequality. And then, the existence of solutions to the dynamic supply chain network is analyzed under the regular condition. Finally, the rationality of the model is illustrated by a numerical example. |
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| Keywords: | supply chain network differential Nash game equilibrium differential variationalinequality |
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