Dependability analysis of semi-Markov systems

被引:39
作者
Limnios, N
机构
[1] Div. Mathématiques Appl., Univ. de Technol. de Compiegne, 60205 Compiègne
关键词
D O I
10.1016/S0951-8320(96)00121-4
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a dependability analysis (Availability-Reliability-Maintainability, Mean times) for semi-Markov systems with finite state space, by a new method, based on algebraic calculus within a convolution algebra. This method permits us to obtain, by simple matrix calculus, closed form solutions of transition probabilities and dependability measures. It is a quite general method that does not need the semi-Markov kernel to be absolutely continuous. Thus we obtain, as an example, the classical availability formulae modelled by an alternating renewal process, by a simple algebraic calculus without probabilistic argument. A detailed application of the method is given. (C) 1997 Elsevier Science Limited.
引用
收藏
页码:203 / 207
页数:5
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