Geo/G/1 retrial queue with 2nd optional service

Geo/G/1 retrial queue with 2nd optional service

0.00 Avg rating0 Votes
Article ID: iaor2007981
Country: United Kingdom
Volume: 1
Issue: 4
Start Page Number: 340
End Page Number: 362
Publication Date: Jul 2006
Journal: International Journal of Operational Research
Authors: ,
Keywords: Geo/G/1 queues, retrial queues
Abstract:

We consider a discrete-time Geo/G/1 retrial queue in which all the arriving customers demand a first essential service whereas only some of them ask for a second optional service. We study the Markov chain underlying the considered queueing system and derive a stochastic decomposition law. We also develop a recursive procedure for computing the distributions of the orbit and system size as well as the marginal distributions of the orbit size when the server is idle and busy with an essential or optional service. Finally, we prove the convergence to the continuous-time counterpart and show some numerical results.

Reviews

Required fields are marked *. Your email address will not be published.