Indian Journal of Science and Technology

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This paper presents a relation between queue-length distributions during vacations and those at vacation start and end times, in M/G/1 vacation queues with batch arrivals, batch services or multi-class arrivals. In order to obtain the relation, we develop a new approach that extends Burke's theorem to queues with batch arrivals, batch services or multi-class services. We also give an example to demonstrate how to apply the proposed relation to the analysis of such a queue.

Keywords

Batch Arrivals and Services, Burke’s Theorem, Multi-class Arrivals, Queue-length Distributions, Vacation Queues.
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