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- Title
Analysis of a time-limited service priority queueing system with exponential timer and server vacations.
- Authors
Tsuyoshi Katayama
- Abstract
We consider a multi-class priority queueing system with a non-preemptive time-limited service controlled by an exponential timer and multiple (or single) vacations. By reducing the service discipline to the Bernoulli schedule, we obtain an expression for the Laplace-Stieltjes transform (LST) of the waiting time distribution via an iteration procedure, and a recursive scheme to calculate the first two moments. It is noted that we have to select embedded Markov points based on the service beginning epochs instead of the service completion epochs adopted for most of M/G/1 queueing analyses. Through the queue-length analysis, we obtain a decomposition form for the LST of the waiting time in each queue having the exhaustive service.
- Subjects
QUEUEING networks; QUEUING theory; ASYMPTOTIC theory of system theory; STIELTJES transform; INTEGRAL transforms
- Publication
Queueing Systems, 2007, Vol 57, Issue 4, p169
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-007-9055-4