Further results of replacement problem of a parallel system in random environment
- 1 December 1979
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 16 (4), 923-926
- https://doi.org/10.2307/3213159
Abstract
We have recently discussed the replacement problem of a parallel system in a random environment. This paper extends the same replacement problem for the following two cases which are more plausible: (i) The probability that an operating component fails by the j th shock depends on the number j. (ii) The replacement cost is a linear function of failed components. The expected cost of the above model is obtained. A numerical example is finally presented when the probability of failure time of a component is a negative binomial distribution.Keywords
This publication has 3 references indexed in Scilit:
- Replacement problem of a parallel system in random environmentJournal of Applied Probability, 1979
- Reliability systems in random environmentJournal of Applied Probability, 1976
- The Discrete Weibull DistributionIEEE Transactions on Reliability, 1975