Elementary methods for failure due to a sequence of Markovian events
1998 ◽
Vol 11
(3)
◽
pp. 311-318
Keyword(s):
This paper is concerned with elementary methods for evaluating the distribution of the time to system failure, following a particular sequence of events from a Markov chain. After discussing a simple example in which a specific sequence from a two-state Markov chain leads to failure, the method is generalized to a sequence from a (k>2)-state chain. The expectation and variance of the time T to failure can be obtained from the probability generating function (p.g.f.) of T. The method can be extended to the case of continuous time.
1991 ◽
Vol 28
(01)
◽
pp. 1-8
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1982 ◽
Vol 19
(A)
◽
pp. 321-326
◽
1949 ◽
Vol 45
(3)
◽
pp. 360-363
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1976 ◽
Vol 13
(02)
◽
pp. 348-354
◽