An M/G/1 Retrial G-Queue with General Retrial Times and Working Breakdowns
This paper considers an M/G/1 retrial G-queue with general retrial times, in which the server is subject to working breakdowns and repairs. If the system is not empty during a normal service period, the arrival of a negative customer can cause the server breakdown, and the failed server still works...
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| Published in | Mathematical and computational applications Vol. 22; no. 1; p. 15 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
01.03.2017
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| Online Access | Get full text |
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| Summary: | This paper considers an M/G/1 retrial G-queue with general retrial times, in which the server is subject to working breakdowns and repairs. If the system is not empty during a normal service period, the arrival of a negative customer can cause the server breakdown, and the failed server still works at a lower service rate rather than stopping the service completely. Applying the embedded Markov chain, we obtain the necessary and sufficient condition for the stability of the system. Using the supplementary variable method, we deal with the generating functions of the number of customers in the orbit. Various system performance measures are also developed. Finally, some numerical examples and a cost optimization analysis are presented. |
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| ISSN: | 2297-8747 2297-8747 |
| DOI: | 10.3390/mca22010015 |