Analysis of retrial queueing systems with two-way communication and impatient customers using simulation

Tóth, Ádám and Sztrik, János (2023) Analysis of retrial queueing systems with two-way communication and impatient customers using simulation. Annales Mathematicae et Informaticae, 58.. pp. 160-169. ISSN 17876117

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Abstract

The aim of this research is to examine a finite-source retrial queueing system with two-way communication. The primary customers, who arrive from a finite-source following an exponential distribution, either receive service immediately if the service unit is available, or are redirected to the orbit and try again to reach the server after a random period. The system is unique in that when the server becomes idle, an outgoing call (secondary customer) is performed from the orbit or the source with varying parameters. Both primary and secondary customers have been serviced according to an exponential distribution but with different rates. Customers exhibit an impatience characteristic, which may lead to their departure before receiving service if they spend a certain amount of time waiting for the service unit. This investigation conduct a sensitivity analysis on the system’s performance measures by utilizing different distributions of the customers’ retrial time in two separate cases. The findings of the analysis have been presented graphically for comparison purposes

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