Analysis of an M[X]/(G1,G2)/1 retrial queueing system with balking, optional re-service under modified vacation policy
(in lingua inglese)
In this paper, we have studied a batch arrival retrial queueing system with balking, modified vacations subject to server breakdowns and delaying repair. Where the server provides two types of service and each type consist an optional re-service. The probability generating functions of the number of customers in the system and orbit are found by using the supplementary variable technique.
![Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,](https://www.verticale.net/attach/analysis-of-an-m-x-g-8459_0001.jpg "Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,")
![Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,](https://www.verticale.net/attach/analysis-of-an-m-x-g-8459_0002.jpg "Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,")
![Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,](https://www.verticale.net/attach/analysis-of-an-m-x-g-8459_0003.jpg "Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,")
![Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,](https://www.verticale.net/attach/analysis-of-an-m-x-g-8459_0001_thumb.jpg "Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,")
![Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,](https://www.verticale.net/attach/analysis-of-an-m-x-g-8459_0002_thumb.jpg "Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,")
![Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,](https://www.verticale.net/attach/analysis-of-an-m-x-g-8459_0003_thumb.jpg "Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking,")
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Fonte: Articolo Ain Shams Engineering Journal, 2014
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