Abstract: In this paper, we have proposed a single server retrial queueing system with balking. At the arrival time, if the server is busy then the arriving job joins the orbit or balks the system. On the other hand, if the server is free then the service of arriving job gets started immediately. The primary and repeating customers follow Poisson distribution. Service times are exponentially distributed. Solving the difference - differential equations recursively, the time dependent probabilities of exact number of arrivals and exact number of departures at when the server is free or when the server is busy from the system are obtained. Some interesting system performance measures are also obtained. The effect of various parameters on our model are illustrated numerically and presented graphically.
Keywords: Retrial, Arrivals, Departures, Queueing, Probability, Balking.
Title: An Analysis of a Two-State Retrial Queueing Model with Balking
Author: Neelam Singla, Sonia Kalra
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
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