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基于熵函数的流水车间小批生产信息量测度

张志峰 JANETDavid

张志峰, Janet David.基于熵函数的流水车间小批生产信息量测度.自动化学报, 2020, 46(10): 2221-2228 doi: 10.16383/j.aas.c180479
引用本文: 张志峰, Janet David.基于熵函数的流水车间小批生产信息量测度.自动化学报, 2020, 46(10): 2221-2228 doi: 10.16383/j.aas.c180479
Zhang Zhi-Feng, Janet David. An entropy-based approach for measuring the information quantity of small lots production in a flow shop. Acta Automatica Sinica, 2020, 46(10): 2221-2228 doi: 10.16383/j.aas.c180479
Citation: Zhang Zhi-Feng, Janet David. An entropy-based approach for measuring the information quantity of small lots production in a flow shop. Acta Automatica Sinica, 2020, 46(10): 2221-2228 doi: 10.16383/j.aas.c180479

基于熵函数的流水车间小批生产信息量测度

doi: 10.16383/j.aas.c180479
基金项目: 

国家自然科学基金 51965046

国家自然科学基金 51465046

江西省自然科学基金 20202BABL201003

详细信息
    作者简介:

    JANETDavid:JANET David   牛津大学工程科学系教授. 1996年获得牛津大学博士学位.主要研究方向为制造系统优化.
    E-mail: vaibhavphd@hotmail.com

    通讯作者:

    张志峰   南昌航空大学经管学院教授, 2008年获得华中科技大学博士学位.主要研究方向为制造系统优化.本文通信作者. E-mail: zzf7766@hotmail.com

  • 本文责任编委 乔俊飞

An Entropy-based Approach for Measuring the Information Quantity of Small Lots Production in a Flow Shop

Funds: 

the National Natural Science Foundation of China 51965046

the National Natural Science Foundation of China 51465046

Jiangxi Provincial Natural Science Foundation 20202BABL201003

More Information
    Author Bio:

    JANET David    Professor in the Department of Engineering Science, University of Oxford, UK. She received her Ph.D. degree from University of Oxford, UK in 1996. Her main research interest is manufacturing systems optimization

    Corresponding author: ZHANG Zhi-Feng    Professor at the Economics and Management School, Nanchang Hangkong University, China. He received his Ph.D. degree from Huazhong University of Science and Technology, China in 2008. His main research interest is manufacturing systems optimization. Corresponding author of this paper
  • Recommended by Associate Editor QIAO Jun-Fei
  • 摘要: 流水车间生产中, 批量及批次的信息量测度意味着对描述不同批量及批次在工作站的状态所需信息量的度量, 即求解批量及批次的信息熵表达.现有批量及批次信息控制研究主要集中在批量调度问题上, 鲜有针对生产中的批量及批次与管理生产所需信息量关系的研究, 造成研究结论很难为决策者从信息管理角度选择生产方式提供理论依据.针对上述问题, 在分析信息熵度量特性基础上, 理论上首次建立流水车间生产线不同批次相同加工时间条件下的批量及批次的信息熵函数, 作为度量生产系统状态所需信息量的基础, 并由此提出生产批次与熵函数变化关系两个定理, 即:生产批次的信息熵函数单调递减; 批次趋于无穷大时, 系统信息熵趋于零.采用求导法与极值法分别对所提定理给予充分证明, 从而理论上证明了流水车间的加工批次增加(或批量减小), 则系统的信息熵降低.分别取工作站数量为10和20进行实证研究, 以图示表达的结果再次验证了所提定理的正确性.批量与批次的信息量测度理论研究, 对实际流水车间生产批量与批次的作业安排及最终生产方式的选择, 都具有重要的理论支撑和现实指导意义.
    Recommended by Associate Editor QIAO Jun-Fei
    1)  本文责任编委 乔俊飞
  • 图  1  加工批次在工作站上的时间表示

    Fig.  1  Time representation of the processing batch on the workstation

    图  2  流水车间工作站布置及加工流程示意图

    Fig.  2  Flow shop workshop layout and processing flow diagram

    图  3  工作站数量为10和20的系统熵与批次函数关系曲线

    Fig.  3  The entropy function curve of the size of lots with 10 and 20 workstations

    图  4  工作站数量分别为10时和20时系统熵与批量函数关系曲线

    Fig.  4  The entropy function curve of the number of lots with 10 and 20 workstations

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出版历程
  • 收稿日期:  2018-07-10
  • 录用日期:  2019-01-25
  • 刊出日期:  2020-10-29

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