Analysis of the GI/Geo/1 queue with N-policy
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. (C) 2012 Elsevier Inc. All rights reserved.
- Publisher
- ELSEVIER SCIENCE INC
- Issue Date
- 2013-04
- Language
- English
- Article Type
- Article
- Keywords
DISCRETE-TIME; WORKING VACATIONS; SYSTEM
- Citation
APPLIED MATHEMATICAL MODELLING, v.37, no.7, pp.4643 - 4652
- ISSN
- 0307-904X
- Appears in Collection
- IE-Journal Papers(저널논문)
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