AN INTEGRAL-EQUATION APPROACH TO THE INTERVAL RELIABILITY OF SYSTEMS MODELED BY FINITE SEMI-MARKOV PROCESSES

被引：35

作者：

CSENKI, A

机构：

[1] Department of Computer Science and Applied Mathematics, Aston University, Birmingham, B4 7ET, Aston Triangle

来源：

RELIABILITY ENGINEERING & SYSTEM SAFETY | 1995年 / 47卷 / 01期

关键词：

D O I：

10.1016/0951-8320(94)00039-Q

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The interval reliability for a repairable system which alternates between working and repair periods is defined as the probability of the system being functional throughout a given time interval. In this paper, a set of integral equations is derived for this dependability measure, under the assumption that the system is modelled by an irreducible finite semi-Markov process. The result is applied to the semi-Markov model of a two-unit system with sequential preventive maintenance. The method used for the numerical solution of the resulting system of integral equations is a two-point trapezoidal rule. The system of implementation is the matrix computation package MATLAB on the Apple Macintosh SE/30. The numerical results are discussed and compared with those from simulation.

引用

页码：37 / 45

页数：9

共 32 条

[1] UNAVAILABILITY ANALYSIS OF PROTECTIVE SYSTEMS SUBJECT TO SEQUENTIAL TESTING [J].