区间灰色时滞特征的供应链建模及稳定性分析

工业工程 ›› 2012, Vol. 15 ›› Issue (3): 20-23.

区间灰色时滞特征的供应链建模及稳定性分析

1.北京科技大学东凌经济管理学院,北京 100083; 2.桂林电子科技大学商学院,广西桂林 541004

出版日期:2012-06-30 发布日期:2012-07-21
作者简介:张学龙(1978-),男,山东省人,博士,主要研究方向为供应链管理、智能决策等.
基金资助:
国家自然科学基金资助项目(71172169);教育部人文社会科学研究青年基金项目(11YJC630290);广西高等学校科研资助项目 (200103YB050)

Modeling and Its Stability Analysis of Supply Chain with Grey and Time Delay Properties

1.Dongling School of Economics and Management, Beijing University of Science and Technology, Beijing 100083, China;
2.School of Business, Guilin University of Electronic Technology, Guilin 541004, China

Online:2012-06-30 Published:2012-07-21

摘要/Abstract

摘要： 供应链的平稳运行是供应链管理的重要基础。针对具有区间灰色时滞特征的供应链建模及其稳定性控制的难题，基于时滞系统模型，结合供应链建模中矩阵的区间灰色特性，建立了具有区间灰色时滞特征的供应链多层模型系统，并提出了一种使用李雅普诺夫(Lyapunov)函数方法，研究多层供应链结构的稳定性问题，获取了一个有效且实用的稳定性判据，给出了证明过程。为了验证该方法的有效性能，以2层区间灰色时滞供应链系统为算例，研究具有区间灰色时滞特征的供应链系统的随机稳定性问题。算例结果表明：使用Matlab 7.0计算工具，在判别矩阵〖WTHX〗U+V<0〖WTBZ〗时获得一组常数值ε，在给定条件下，供应链系统随机稳定。可得出结论：该算法在保证最优解不会降低的情况下，达到了系统稳定能力增强的目的，可为实际应用提供指导。

关键词: 灰色系统, 供应链建模, 稳定性分析, 李雅普诺夫函数

Abstract: In supply chain management, it is important to operate a supply chain smoothly. However, with grey and time delay properties, it is very challenging to model and control a supply chain. By using interval gray characteristics matrix and time delay system method, a multilayer model with grey and time delay properties is developed for such a supply chain. Then, a Lyapunov function is presented to analyze the stability of the system. Thus, an effective and practical criterion of stability is obtained. A supply chain system with 2layer interval grey and time delay is used to test the performance of the proposed method. By using Matlab 70, numerical results show that the supply chain system is randomly stable. The results obtained are useful and can be used as guide in practical application.

Key words: grey system, supply chain modeling, stability analysis, Lyapunov function

张学龙12，王道平1，赵相忠2. 区间灰色时滞特征的供应链建模及稳定性分析[J]. 工业工程, 2012, 15(3): 20-23.

Zhang Xuelong1,2,Wang Daoping1, Zhao Xiangzhong2. Modeling and Its Stability Analysis of Supply Chain with Grey and Time Delay Properties[J]. Industrial Engineering Journal , 2012, 15(3): 20-23.

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