AN M/G/1 RENEGING AND BALKING QUEUE OFFERING A VARIETY OF SERVICES AND GETAWAYS

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Dr. R. Shanthi1, R. Priyanka

Abstract

We take a look at an M/G/1 queueing machine for important and optionally available excursion. The arrival follows Poisson process. In this version the server offers 3 kinds of carrier. One is important, the alternative are optionally available carrier. Also, after ES or OS, when there aren't any customers with inside the machine, the server takes - k levels of EV. After the EV, if there are not any consumer with inside the queue, the server can also additionally both wait idle for consumer or can also additionally take k+1th phase  of optionally available excursion. Next we bear in mind balking to arise whilst the server is busy or excursion durations and reneging to arise whilst the server is on excursion durations. Both carrier and excursion time primarily based on GD. For this version, the SVT was applied to get the PGF of range of customer with inside the queue. Extensive numerical analyses are achieved to reveal the impact of machine parameters on overall performance measurements.

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