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魏瑛源, 唐应辉 (2004)
A Two-Unit Cold Standby Repairable System with One Replaceable Repair Facility and Delay Repair: Some Reliability Problems
- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-008-8029-6
- Publisher site
- See Article on Publisher Site
Abstract
In this paper the model of servicing machines with repairable facility is further studied. By standard conditioning decomposition argument, two reliability indices-the probability that the service facility fails at time t and the expected number of failure occurring during (0, t] are discussed. Some important relations of them are given. Furthermore, some new reliability problems are presented and discussed as follows: 1) The numbers of the service facility failures during the generalized service time and the generalized busy period; 2) The asymptotic expansion of the expected failure number of the service facility during (0, t]. A series of new reliability results of the service facility are obtained.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Mar 23, 2009