Markovian Bulk Service Queue Under Accessibility Rules

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Executive Summary

Bulk service queueing systems have been analyzed by several experts right from Bailey (1954) in different situations. Various rules for bulk size queues exist in the queueing literature. One of the famous bulk size rules is Neuts'(1967) general bulk service rule, which is again assumed to permit the late arrivals to join a batch of ongoing service. A single server Markovian queue is considered. The arriving units are served in batches by using accessibility and non-accessibility rules with varying service rates. The expressions for the steady state probabilities when the server is busy as well as idle are derived. The mean and variance for the number of units in the queue are obtained. The expected waiting time of units is also attained.

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