• CN:11-2187/TH
  • ISSN:0577-6686

›› 2006, Vol. 42 ›› Issue (7): 8-13.

• 论文 • 上一篇    下一篇

基于信息熵的制造系统复杂性测度及其在调度中的应用

饶运清;EFSTATHIOU Janet   

  1. 华中科技大学机械科学与工程学院;牛津大学工程科学系
  • 发布日期:2006-07-15

ENTROPY-BASED MEASUREMENT OF MANUFACTURING SYSTEM COMPLEXITY AND ITS APPLICATION IN SCHEDULING

RAO Yunqing;EFSTATHIOU Janet   

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology Department of Engineering Science, University of Oxford
  • Published:2006-07-15

摘要: 制造系统的复杂性是指制造系统难以被理解、描述、预测和控制的状态。从信息论角度指出制造系统的复杂度是描述制造系统的状态所预期需要的信息量。将制造系统的复杂性描述为静态和动态两种形式:静态复杂性是描述制造系统在静止状态下各制造资源根据其调度方案所预期拥有的状态所需要的信息量,动态复杂性则指描述制造系统在运行过程中各资源的实际状态所需要的信息量。应用信息论中的信息熵理论研究制造系统的复杂性测度问题,分别建立了基于信息熵的静态和动态复杂性测度模型。将上述复杂性理论应用于调度研究,提出最大可行调度时限和调度依附度两个评价调度有效性的量化指标,为调度有效性的分析、评价及改善提供了重要工具。实例研究表明所提理论和方法的有效性。

关键词: 调度, 调度有效性, 信息熵, 制造系统复杂性

Abstract: The complexity of a manufacturing system can be considered as the state of being difficult to understand, describe, predict and control the system. From the information, I.e. theoretic point of view, manufacturing system complexity is defined as the expected amount of information required to describe the state of a manufacturing system. The complexity of a manufacturing system is investigated by two important measures, I.e. static and dynamic. Static complexity is defined as the amount of information required to describe the expected states of a manufacturing system that are predicted to occur by the sched-ule, whereas dynamic complexity is defined as the amount of information required to describe the states of the manufacturing system that actually occur over time in operation. An information-theoretic approach is applied to study the complexity measurement of manufacturing systems, and the entropy-based measurement models are developed. As an application, the proposed theoretical models are used to investigate the effectiveness of schedules for manufacturing systems, where the concepts of maximum feasible schedule horizon and schedule adherence are introduced to quantitatively evaluate the effectiveness of schedules. An example demonstrates the validity of the proposed methodology.

Key words: Complexity of manufacturing system Entropy, Scheduling Effectiveness of schedule

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