Proof of the conjecture on the stability of a multi-class retrial queue with constant retrial rates

Bara Kim () and Jeongsim Kim ()
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Bara Kim: Korea University
Jeongsim Kim: Chungbuk National University

Queueing Systems: Theory and Applications, 2023, vol. 104, issue 3, No 3, 175-185

Abstract: Abstract This study considers a multi-class single-server retrial queue with constant retrial rates in which service times are generally distributed with different service rates for each class. Avrachenkov (Queueing Systems 100:177–179, 2022) formulated the conjecture on the stability of this queueing system. We completely resolve the conjecture by using the fluid limit approach.

Keywords: Retrial queue; Constant retrial rate; Stability; Fluid limit; 60K25 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11134-023-09881-z

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