Iterative methods for flexible manufacturing systems

被引：5
|
作者：
Ching, WK
Loh, AW
机构：
[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 141卷 / 2-3期
关键词：
flexible manufacturing system; preconditioned conjugate gradient method;
D O I：
10.1016/S0096-3003(02)00275-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents an Markovian model for flexible manufacturing systems (FMSs). The model captures two important features of a FMS: the reliability of machines and the capacity of the maintenance facility. A fast numerical algorithm based on preconditioned conjugate gradient (PCG) method is developed to solve. the steady state probability distribution of the system. We prove the fast convergence rate of the PCG method. The performance analysis of the FMS can be evaluated by making use of the steady state probability distribution. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：553 / 564
页数：12
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