Transient solution of the M/M/c queue with balking and reneging
| Autor: | R.O. Al-Seedy, S. A. El-Shehawy, Sherif I. Ammar, A. A. El-Sherbiny |
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| Rok vydání: | 2009 |
| Předmět: |
M/G/k queue
Mathematical analysis M/M/1 queue Transient probabilities Modified Bessel functions M/D/c queue G/G/1 queue M/M/∞ queue Time dependent queue Generating functions Computational Mathematics Computational Theory and Mathematics Modelling and Simulation Modeling and Simulation Burke's theorem ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION M/G/1 queue M/M/c queue Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 57:1280-1285 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2009.01.017 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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