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- Title
Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers.
- Authors
Kim, Bara; Kim, Jeongsim
- 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.
- Subjects
NEW trials; POISSON processes; EMPLOYEE reviews
- Publication
Queueing Systems, 2020, Vol 94, Issue 1/2, p129
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-019-09634-x