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Bulk Arrival Retrial Queue With Fluctuating Modes Of Service, Immediate Feedback, Server Vacation And Orbital Search

Authors: A. Yamuni1, K. Kirupa2 and Dr. K. Udaya Chandrika3;

Bulk Arrival Retrial Queue With Fluctuating Modes Of Service, Immediate Feedback, Server Vacation And Orbital Search

Abstract

This paper deals with single server retrial queue with fluctuating modes of service. Server provides M modes of service with different service rates. At the arrival epoch of a batch, if the server is idle, then one customer enters for service and others join the orbit. Otherwise all the customers join the orbit. After completion of service, the unsatisfied customers opt for re-service. At the completion epoch of each service, the server takes a single Bernoulli vacation. After vacation completion the server may search for customer in the orbit. The supplementary variables corresponding to retrial time, service time and vacation time are incorporated to determine the queue size distribution. The mean number of customers in the orbit, the mean number of customers in the system and system probabilities are obtained. Finally the stochastic decomposition law is verified. The analytical results are validated with the help of numerical illustrations.

Keywords

Retrial Queue, Fluctuating Modes, Immediate Feedback, Vacation and Orbital Search.

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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