A Discrete-Time Geo/G/1 retrial queue with the server subject to starting failures

This paper studies a discrete-time Geo/G/1 retrial queue where the server is subject to starting failures. We analyse the Markov chain underlying the regarded queueing system and present some performance measures of the system in steady-state. Then, we give two stochastic decomposition laws and find...

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Published in:Annals of operations research 2006-01, Vol.141 (1), p.85-107
Main Authors: Atencia, I., Moreno, P.
Format: Article
Language:English
Subjects:
Combinatorics
Communication
Customer services
Decomposition
Markov analysis
Operations research
Queuing theory
Servers
Stochastic models
Studies
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description This paper studies a discrete-time Geo/G/1 retrial queue where the server is subject to starting failures. We analyse the Markov chain underlying the regarded queueing system and present some performance measures of the system in steady-state. Then, we give two stochastic decomposition laws and find a measure of the proximity between the system size distributions of our model and the corresponding model without retrials. We also develop a procedure for calculating the distributions of the orbit and system size as well as the marginal distributions of the orbit size when the server is idle, busy or down. Besides, we prove that the M/G/1 retrial queue with starting failures can be approximated by its discrete-time counterpart. Finally, some numerical examples show the influence of the parameters on several performance characteristics. [PUBLICATION ABSTRACT]
doi_str_mv 10.1007/s10479-006-5295-7
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subjects Combinatorics
Communication
Customer services
Decomposition
Markov analysis
Operations research
Queuing theory
Servers
Stochastic models
Studies
title A Discrete-Time Geo/G/1 retrial queue with the server subject to starting failures
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