Steady State Probability Analysis of GI/M (a, b)/1/MWV Queueing Model with Breakdown

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E. Praveena , K. Julia Rose Mary

Abstract

This paper analyses a Non –Markovian Queuing model of General Input Single Server pattern with batch service where server undergoes multiple working vacation with server breakdown. The customers are served by a single server with general bulk service rule in which the server requires atleast “a” number of customers to function and maximum number of the customers are “b”. The server experiencing breakdown in regular busy period is considered in this model. Customer arriving follows General distribution and the service follows Exponential distribution. The breakdown that happens during regular busy periods is referred as .The steady state probability distribution and mean queue length are calculated. Further performance measures of the considered model are discussed.

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