• CN:11-2187/TH
  • ISSN:0577-6686

›› 2011, Vol. 47 ›› Issue (14): 192-198.

• 论文 • 上一篇    

基于尖点突变的制造系统耗散结构模型及其度量

张志峰;JINDAL V   

  1. 南昌航空大学经济管理学院;印度理工学院机械工程系
  • 发布日期:2011-07-20

Dissipative Structure Models of Manufacturing Systems and Its Measurement Based on Cusp Catastrophe

ZHANG Zhifeng;JINDAL V   

  1. Economics and Management School of Nanchang Hangkong University Mechanical Engineering Department, Indian Institute of Technology
  • Published:2011-07-20

摘要: 制造系统的信息熵建模促进制造系统状态信息度量的发展。在分析制造系统耗散结构特征的基础上,利用突变理论中的尖点突变模型,依据其控制变量与状态变量的相互关系,建立制造系统的耗散结构模型,使得定量地判断制造系统何时形成耗散结构成为可能。依据制造系统信息熵的定义,分别建立制造系统的预期熵变度量模型及实际熵变度量模型,从而实现利用耗散结构模型对制造系统运行状态进行准确判断的目的。实证研究中,以某加工车间实施单元制造前后为背景,利用所建耗散结构模型及其度量模型,对两种不同状态下制造系统是否形成耗散结构进行定量判断,结果较好地验证此方法的合理性,也为制造系统的优化提供有效途径。

关键词: 耗散结构, 熵变, 突变理论, 制造系统

Abstract: Information-theoretic modeling of manufacturing systems promotes the development of measures of the state information of manufacturing systems. Based on analyzing the dissipative structure characteristics of manufacturing systems, dissipative structure models of manufacturing systems are built by using the cusp catastrophe model in catastrophic theory and according to the mutual relationship between its control variable and state variable. The models make it possible to quantitatively judge the state when manufacturing systems come into being a dissipative structure. According to the definition of the information entropy of manufacturing systems, the model of expected entropy change and the model of actual entropy change are respectively built up and the objective that the states of manufacturing systems are exactly assessed is achieved. In empirical study, a manufacturing system of a workshop is taken as example to estimate whether its dissipative structure is formed under two different states. As a result, this quantificational way is well validated and an effective channel is provided for the optimization of manufacturing systems.

Key words: Catastrophic theory, Dissipative structure, Entropy change, Manufacturing systems

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