Affiliation:
1. School of Computing and Mathematics, University of Bradford, Bradford, West Yorkshire BD7 1DP, UK
Abstract
We consider systems whose time–dependent behaviour can be described by a Markov chain with a finite state space. There is a finite set of subsets of the state space given and every point in the time interval under consideration is associated with one of these subsets, thereby definig a demand (or usage) pattern. Closed form expressions are derived for the probability of a demand pattern being satisfied, in both, discrete and continuous time. Known reliability measures are identified as special cases. We illustrate the theory on two examples: the first is a system comprising three power transmission lines, the second is a small computer system consisting of four units, each in one of the states up or down. The demand patterns cover a four–week period.
Publisher
World Scientific Pub Co Pte Lt
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science
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