Strategic behavior and optimization in a hybrid M/M/1 queue with retrials

Yoav Kerner () and Ophir Shmuel-Bittner ()
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Yoav Kerner: Ben Gurion University of the Negev
Ophir Shmuel-Bittner: Ben Gurion University of the Negev

Queueing Systems: Theory and Applications, 2020, vol. 96, issue 3, No 4, 285-302

Abstract: Abstract In standard queues, when there are waiting customers, service completions are followed by service commencements. In retrial queues, this is not the case. In such systems, customers try to receive service at a time of their choosing, or the server seeks the next customer for a non-negligible time. In this note, we consider a hybrid model with both a finite standard queue and an orbit. While in the orbit, customers try to join the standard queue in their own time. We assume that the retrial rate is a decision variable, and study both the Nash equilibrium and the socially optimal retrial rates, under a cost model that considers both waiting costs and retrial costs.

Keywords: Retrial queues; Strategic behavior; Nash equilibrium; Social optimization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11134-020-09672-w

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