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Transient solution of the M/M/c queue with balking and reneging

โœ Scribed by R.O. Al-Seedy; A.A. El-Sherbiny; S.A. El-Shehawy; S.I. Ammar

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
432 KB
Volume
57
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 which results in a simple differential equation. Based on the properties of Bessel functions in the solution of this differential equation the probabilities can be extracted in a direct way.

๐Ÿ“œ SIMILAR VOLUMES

Transient solution of an M/M/1 queue wit
Transient solution of an M/M/1 queue with catastrophes
โœ B.Krishna Kumar; D. Arivudainambi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

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