Iterative methods for flexible manufacturing systems

Authors:
Wai Ki Ching;Anthony W. Loh
Affiliations:
Department of Mathematics, University of Hong Kong, Pokfulam Road, Hong Kong;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 7
Cited 0

Matrix analysis

Matrix analysis
Flexible manufacturing systems: a review of analytical models

Management Science
Iterative methods for overflow queueing models I

Numerische Mathematik
CGS, a fast Lanczos-type solver for nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
Circulant Preconditioners for Markov-Modulated Poisson Processes and Their Applications to Manufacturing Systems

SIAM Journal on Matrix Analysis and Applications
An inventory model for manufacturing systems with delivery time guarantees

Computers and Operations Research
A production model with delivery time guarantees for manufacturing systems with early set-up

Proceedings of the 23rd international conference on on Computers and industrial engineering

Quantified Score

Hi-index	0.48

Visualization

Abstract

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.