A finite-source M/G/1 retrial queue with outgoing calls

Velika I. Dragieva () and Tuan Phung-Duc ()
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Velika I. Dragieva: University of Forestry
Tuan Phung-Duc: University of Tsukuba

Annals of Operations Research, 2020, vol. 293, issue 1, No 6, 121 pages

Abstract: Abstract In this paper we deal with a single-server, finite-source retrial queue where the server not only accepts incoming calls but after some exponentially distributed idle time makes outgoing calls. The service times of incoming and outgoing calls follow two distinct arbitrary distributions. The outgoing calls are directed not to the customers in the system but outside it, which implies that the model can be considered as a model with vacations or with customers of two types. Along with the standard retrial queue where all customers are allowed to join the orbit we consider also the corresponding queue with restriction on the orbit size. We derive formulas for computing the stationary system state distribution and investigate the influence of the system input parameters on the main macro characteristics of the system performance.

Keywords: Finite queues; Retrials; Outgoing calls; Restriction on the orbit size (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-019-03359-z

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