考虑缓冲区故障的多产品生产系统的性能分析

Performance analysis of multi-product manufacturing system with buffer breakdown

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.

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.