A finite capacity multi-server multi-queueing priority model with non-renewal input

Dietmar Wagner

Annals of Operations Research, 1998, vol. 79, issue 0, 63-82

Abstract: We consider a non-preemptive head-of-the-line multi-server multi-queueing priority model with finite buffer capacity for each priority class. As an arrival process, a generalized Markovian arrival process with marked transitions is used. The service-time distribution is of phase-type and identical for the different priority classes. The model is described by a homogeneous continuous-time Markov chain (CTMC). From the steady-state distribution of the CTMC, which is calculated by matrix-geometric methods, we derive the steady-state distributions immediately after arrival instants of the different priority classes. Applying matrix-analytic methods, we calculate the Laplace-Stieltjes Transform (LST) of the actual waiting times for the different priority classes. Copyright Kluwer Academic Publishers 1998

Keywords: Markovian arrival process; marked transitions; non-preemptive priority; multi-server queue; phase-type distribution; first passage time (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1018943310005

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