Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers

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

Queueing Systems: Theory and Applications, 2020, vol. 94, issue 1, No 6, 129-146

Abstract: Abstract We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach.

Keywords: Retrial queue; Stability; Fluid limit; 60K25 (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/s11134-019-09634-x

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