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- Title
A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue.
- Authors
Renbin Liu; Yinghui Tang
- Abstract
This paper presents a decomposition technique for the service station reliability in a discrete-time repairable GeomX/G/1 queueing system, in which the server takes exhaustive service and multiple adaptive delayed vacation discipline. Using such a novel analytic technique, some important reliability indices and reliability relation equations of the service station are derived. Furthermore, the structures of the service station indices are also found. Finally, special cases and numerical examples validate the derived results and show that our analytic technique is applicable to reliability analysis of some complex discrete-time repairable bulk arrival queueing systems.
- Subjects
RELIABILITY in engineering; DISCRETE time filters; MATHEMATICAL decomposition; SERVICE stations; DISCRETE-time systems
- Publication
Journal of Applied Mathematics, 2013, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2013/821684