A feedback queue with additional optional batch service

R. Kalayanaraman, S. Sumathy

Abstract


A single server infinite capacity queuing system with Poisson arrival process along with Bernoulli feedback decision process is considered wherein the server provides two types of service. The first essential service is rendered one by one to all the customers and second optional service is given in batches of fixed size b. For this model the steady state probability generating function for the queue length process has been obtained and average queue length has been found explicitly. Results for particular cases are obtained and some numerical results are presented to test the feasibility of the queuing model.


Keywords


Bernoulli process; Queue length distribution; Feedback;

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References


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DOI: https://doi.org/10.11113/mjfas.v6n2.194

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