The transient solution to queue
โ Scribed by J.D. Griffiths; G.M. Leonenko; J.E. Williams
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 176 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0167-6377
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๐ SIMILAR VOLUMES
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 queu
A transient solution for the system size in the M/M/1 queueing model with the possibility of catastrophes at the service station is derived in the direct way. Asymptotic behavior of the probability of the server being idle and mean queue size are discussed. Steady-state probabilities are also obtain
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