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Sojourn time analysis for a cyclic-service tandem queueing model with general decrementing service
- Source :
- Mathematical and Computer Modelling. 22(10-12):131-139
- Publication Year :
- 1995
- Publisher :
- Elsevier BV, 1995.
-
Abstract
- A sojourn time analysis is provided for a cyclic-service tandem queue with general decrementing service which operates as follows: starting once a service of queue 1 in the first stage, a single server continues serving messages in queue 1 until either queue 1 becomes empty, or the number of messages decreases to k less than that found upon the server's last arrival at queue 1, whichever occurs first, where 1 @? k @? ~. After service completion in queue 1, the server switches over to queue 2 in the second stage and serves all messages in queue 2 until it becomes empty. It is assumed that an arrival stream is Poissonian, message service times at each stage are generally distributed and switch-over times are zero. This paper analyzes joint queue-length distributions and message sojourn time distributions.
Details
- ISSN :
- 08957177
- Volume :
- 22
- Issue :
- 10-12
- Database :
- OpenAIRE
- Journal :
- Mathematical and Computer Modelling
- Accession number :
- edsair.doi.dedup.....aaa44c986c3034e58c85ee75145598c1
- Full Text :
- https://doi.org/10.1016/0895-7177(95)00189-9