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An M/G/1 Retrial Queue with Second Optional Service and Starting Failure under Modified Bernoulli Vacation

S. Pavai Madheswari, P. Suganthi


A single server retrial queue with two phases of service of which the second phase is optional, where the server is subjected to starting failure.  Further, the server is permitted to take a vacation under modified Bernoulli scheduled.  A necessary and sufficient condition for the system to be stable is investigated.   Some of the existing results are deduced as special cases.   The system size distribution and various performance measures are derived.  The stochastic decomposition law is shown to hold good for this model also. Extensive numerical illustrations are provided to showcase the effect of the parameters on the system performance measures.

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