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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
A Discrete-Time Retrial Queueing
System With Service Upgrade |
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Authors: |
Ivan Atencia, Inmaculada Fortes, Sixto
Sanchez |
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Published in:
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(2015).ECMS 2015 Proceedings edited
by: Valeri M. Mladenov, Grisha Spasov, Petia Georgieva, Galidiya Petrova, European
Council for Modeling and Simulation. doi:10.7148/2015 ISBN:
978-0-9932440-0-1 29th
European Conference on Modelling and Simulation, Albena (Varna), Bulgaria,
May 26th – 29th,
2015 |
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Citation
format: |
Ivan Atencia,
Inmaculada Fortes, Sixto
Sanchez (2015). A Discrete-Time Retrial Queueing
System With Service Upgrade, ECMS 2015 Proceedings edited by: Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova European
Council for Modeling and Simulation. doi:10.7148/2015-0650 |
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DOI: |
http://dx.doi.org/10.7148/2015-0650 |
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Abstract: |
This paper considers a discrete-time
retrial queueing system with displacements. The arriving
customers can opt to go directly to the server obtaining immediately its
service or to join the orbit. In the first case, the displaced customer goes
directly to the orbit. The arrivals follow a geometrical law and the service
times are general. We study the Markov chain underlying
the considered queueing system obtaining the
generating function of the number of customers in the orbit and in the system
as well as the stationary distribution of the time that a customer spends in
the server. We derive the stochastic decomposition law and as an application
we give bounds for the proximity between the steady-state distributions for
our queueing system and its corresponding standard
system. |
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