| 考虑缓冲区故障的多产品生产系统的性能分析 |
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| 引用本文： | 杨喜娟,黎锁平,彭铎,蔺莹. 考虑缓冲区故障的多产品生产系统的性能分析[J]. 控制与决策, 2019, 34(4): 699-708 |
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| 作者姓名： | 杨喜娟 黎锁平 彭铎 蔺莹 |
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| 作者单位： | 兰州理工大学电气工程与信息工程学院，兰州730050;兰州交通大学电子与信息工程学院，兰州730070,兰州理工大学电气工程与信息工程学院，兰州730050;兰州理工大学理学院，兰州730050,兰州理工大学电气工程与信息工程学院，兰州730050,兰州理工大学电气工程与信息工程学院，兰州730050 |
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| 基金项目： | 国家自然科学基金项目(61663024)；兰州理工大学红柳一流学科建设计划项目；教育部春晖计划合作科研项目(Z2016001)；兰州交通大学青年基金项目(2015007). |
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| 摘 要： | 对带有生产准备时间和缓冲区故障且生产时间服从任意分布的多产品生产系统进行分析,通过构建系统状态向量,建立其离散时间马尔可夫链模型.根据多产品生产系统的工作过程对系统状态向量分4种情况进行讨论,计算出系统的状态转移矩阵;在计算系统稳态向量的基础上获得系统生产率的计算流程.根据所建立的模型,对参数对称且可生产两种产品的多产品生产系统进行详细求解,给出其系统生产率的计算过程,通过Matlab进行数学实验,分析总结出缓冲区的无故障率、产品到达率、生产准备时间、服务率及其变异系数对系统生产率的影响.
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| 关 键 词： | 多产品生产系统 缓冲区故障 马尔可夫链 系统生产率 数学实验 性能分析 |
Performance analysis of multi-product manufacturing system with buffer breakdown |
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| YANG Xi-juan,LI Suo-ping,PENG Duo and LIN Ying. Performance analysis of multi-product manufacturing system with buffer breakdown[J]. Control and Decision, 2019, 34(4): 699-708 |
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| Authors: | YANG Xi-juan LI Suo-ping PENG Duo LIN Ying |
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| Affiliation: | School of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou730050,Chinahspace{3pt};School of Electronic andhspace{1pt} Information Engineering,Lanzhou Jiaotong University,Lanzhou730070,China,School of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou730050,Chinahspace{3pt};School of Science,Lanzhou University of Technology,Lanzhou730050,China,School of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou730050,Chinahspace{3pt} and School of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou730050,Chinahspace{3pt} |
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| Abstract: | This paper analyses the multi-product manufacturing system with setup time, buffer breakdown and arbitrary processing time. The discrete-time Markov chain model is established by constructing the state vector of the system. In order to calculate the system state transition matrix, the system state is divided into four kinds of situation to be discussed according to the production process of the multi-product manufacturing system. On the basis of the system steady-state probability, the calculation procedure of system throughput is further obtained. Based on the proposed model, we give a detailed solution to the multi-product manufacturing system with symmetric parameters which can produce two kinds of products, and provide the calculation formula of system throughput. Through Matlab experiments, the impacts of system parameters on system throughput are analysed and summarized, such as the failure-free rate of buffer, the product arriving rate, the setup time, the processing rate and its coefficient of variation. |
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