Steady-state analysis of a multiclass MAP/PH/c queue with acyclic PH retrials
Orhan, M. C.
Journal of Applied Probability
Applied Probability Trust
1098 - 1110
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A multiclass c-server retrial queueing system in which customers arrive according to a class-dependent Markovian arrival process (MAP) is considered. Service and retrial times follow class-dependent phase-type (PH) distributions with the further assumption that PH distributions of retrial times are acyclic. A necessary and sufficient condition for ergodicity is obtained from criteria based on drifts. The infinite state space of the model is truncated with an appropriately chosen Lyapunov function. The truncated model is described as a multidimensional Markov chain, and a Kronecker representation of its generator matrix is numerically analyzed.
KeywordsAcyclic phasetype retrial time distribution
Markovian arrival process
Phase-type service time distribution