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Journal Article
Analysis of the GI/Geo/1 queue with N -policy
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- Authors
- Dae-Eun Lim, Doo Ho Lee, Won Seok Yang, Kyung-Chul Chae
- Issue Date
- 2013-04
- Citation
- Applied Mathematical Modelling, v.37, no.7, pp.4643-4652
- ISSN
- 0307-904X
- Publisher
- Elsevier
- Language
- English
- Type
- Journal Article
- Abstract
- We consider a discrete-time single server N-policy GI/. Geo/1 queueing system. The server stops servicing whenever the system becomes empty, and resumes its service as soon as the number of waiting customers in the queue reaches N. Using an embedded Markov chain and a trial solution approach, the stationary queue length distribution at arrival epochs is obtained. Furthermore, we obtain the stationary queue length distribution at arbitrary epochs by using the preceding result and a semi-Markov process. The sojourn time distribution is also presented. © 2012 Elsevier Inc.
- KSP Keywords
- Embedded Markov chain, N-policy, Queue length distribution, Semi-Markov Process, Sojourn time distribution, discrete-time, queueing system, single server