Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142079 | Operations Research Letters | 2015 | 5 Pages |
Abstract
In this paper we solve the conjecture made by Avram, Matei and Zhao (2014), on stability condition of an M/M/sM/M/s retrial queue with Bernoulli acceptance, abandonment and feedback. The Markov process describing this queueing system is positive recurrent if ρ∞<1ρ∞<1 and transient if ρ∞>1ρ∞>1, where ρ∞ρ∞ is the traffic load under the saturation condition of the orbit. We also investigate the critical case when ρ∞=1ρ∞=1 to see if it can be either stable or unstable.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Bara Kim, Jeongsim Kim,