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- Title
RELIABILITY ANALYSIS OF UNRELIABLE SERVER RETRIAL QUEUE WITH BULK ARRIVALS.
- Authors
Jain, Madhu; Mishra, Ashish
- Abstract
In this paper we study the reliability analysis of an unreliable server retrial queueing system with bulk arrivals and state dependent rates. The system when operational may fail due to server breakdown. We assume that the customers arrive according to Poisson process. A detailed steady state and transient state analysis for the prediction of reliability indices using the supplementary variable technique and Laplace transform, is presented. The expressions for the reliability, availability, failure frequency and mean time to failure (MTTF) of the server are derived. Finally, numerical illustration is given to explore the effect of various parameters on the system performance.
- Subjects
QUEUING theory; POISSON processes; LAPLACE transformation; ACCELERATED life testing; PARAMETERS (Statistics); STATISTICAL reliability; COMBINATORICS; EXPONENTIAL generating functions; HARMONIC functions
- Publication
Pakistan Journal of Statistics, 2008, Vol 24, Issue 4, p285
- ISSN
1012-9367
- Publication type
Article