Asymptotic Measures of System Performance under Alternative Operating Rules. II.
Abstract
This is the second part of a study of stochastic processes generated by failures and repairs of components in a series system. In particular, we consider a two component series system where failure of component 1 shuts off component 2 but not vice versa. In Part I, selected measures of system performance were calculated for general failure and repair distributions as implicit functions of system availability. In order to obtain explicit results, we assume in this part that either component 1 or component 2 has exponential failure and repair distributions. For the case where component 1 has a general failure distribution, we obtain counter-intuitive results concerning the long run average of system uptimes. Intuitively, it is best to shut off an operating component when the system is down. However, this is not correct if the component failure distribution is IFR (or more generally NBUE) and we wish to maximize the long run average of system uptimes. We use the method of supplementary variables to obtain explicit results for important special cases. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA078827
Entities
People
- Esther Sid Hudes
- Richard E. Barlow
Organizations
- University of California, Berkeley