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Transient solution of a multiserver Poisson queue with -policy

✍ Scribed by P.R. Parthasarathy; R. Sudhesh

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
691 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

We consider an M/M/c queueing system, where the server idles until a fixed number N of customers accumulates in a queue and following the arrival of the N -th customer, the server serves exhaustively the queue. We obtain the exact transient solution for the state probabilities of this N -policy queue by a direct approach. Further we obtain the time-dependent mean, variance of this system and its busy period distribution.

πŸ“œ SIMILAR VOLUMES

Transient solution of the M/M/c queue wi
Transient solution of the M/M/c queue with balking and reneging
✍ R.O. Al-Seedy; A.A. El-Sherbiny; S.A. El-Shehawy; S.I. Ammar πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 432 KB

This paper presents an analysis for the M/M/c queue with balking and reneging. It is assumed that arriving customers balk with a fixed probability and renege according to a negative exponential distribution. The generating function technique will be used to obtain the transient solution of system wh