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- Title
Geometric tail of queue length of low-priority customers in a nonpreemptive priority MAP/PH/1 queue.
- Authors
Xue, Jungong; Alfa, Attahiru
- Abstract
We consider a MAP/PH/1 queue with two priority classes and nonpreemptive discipline, focusing on the asymptotic behavior of the tail probability of queue length of low-priority customers. A sufficient condition under which this tail probability decays asymptotically geometrically is derived. Numerical methods are presented to verify this sufficient condition and to compute the decay rate of the tail probability.
- Subjects
MARKOV processes; PROBABILITY theory; INFINITE matrices; MARGINAL distributions; HARMONIC functions
- Publication
Queueing Systems, 2011, Vol 69, Issue 1, p45
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-011-9221-6