A PERIODIC MAINTENANCE OF CONNECTED-(r, s)-OUT-OF-(m,n):F SYSTEM WITH FAILURE DEPENDENCE

摘要

This study considers a linear connected-(r,s)-out-of-(m,n):F lattice system whose components are ordered like the elements of a linear (m,n)-matrix. We assume that all identical components are in the state 1 (operating) or 0 (failed) but the failures of components are dependent. The system fails whenever at least one connected (r,s)-submatrix of failed components occurs. The purpose of this paper is to present an optimization scheme that aims at minimizing the expected cost per unit time and system parameters. To find the optimal maintenance period, we use a genetic algorithm for the cost optimization procedure. The expected cost per unit time is obtained by Monte Carlo simulation. The sensitivity analysis to the different cost parameters is also made.