Transient Solution of an M/M/1 Queue with Balking
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...
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Institutional Knowledge at Singapore Management University
1993
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sg-smu-ink.lkcsb_research-18932016-01-06T15:51:01Z Transient Solution of an M/M/1 Queue with Balking KUMAR, B. Krishna PARTHASARATHY, P. R. MOOSA, Sharafali 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. 1993-12-01T08:00:00Z text https://ink.library.smu.edu.sg/lkcsb_research/894 info:doi/10.1007/BF01149265 https://doi.org/10.1007/BF01149265 Research Collection Lee Kong Chian School Of Business eng Institutional Knowledge at Singapore Management University Operations and Supply Chain Management Operations Research, Systems Engineering and Industrial Engineering |
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Operations and Supply Chain Management Operations Research, Systems Engineering and Industrial Engineering KUMAR, B. Krishna PARTHASARATHY, P. R. MOOSA, Sharafali Transient Solution of an M/M/1 Queue with Balking |
| description |
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. |
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text |
| author |
KUMAR, B. Krishna PARTHASARATHY, P. R. MOOSA, Sharafali |
| author_facet |
KUMAR, B. Krishna PARTHASARATHY, P. R. MOOSA, Sharafali |
| author_sort |
KUMAR, B. Krishna |
| title |
Transient Solution of an M/M/1 Queue with Balking |
| title_short |
Transient Solution of an M/M/1 Queue with Balking |
| title_full |
Transient Solution of an M/M/1 Queue with Balking |
| title_fullStr |
Transient Solution of an M/M/1 Queue with Balking |
| title_full_unstemmed |
Transient Solution of an M/M/1 Queue with Balking |
| title_sort |
transient solution of an m/m/1 queue with balking |
| publisher |
Institutional Knowledge at Singapore Management University |
| publishDate |
1993 |
| url |
https://ink.library.smu.edu.sg/lkcsb_research/894 https://doi.org/10.1007/BF01149265 |
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1770569740205424640 |