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Queue content moments of discrete-time queues with zero-regenerative arrivals

Book Contribution - Book Abstract Conference Contribution

This paper investigates a single-server discrete-time queueing system with single-slot service times. For a broad class of arrivals processes, closed form expressions for the mean queue content and queue content variance in steady state are obtained. Apart from being stationary ergodic, the arrival process adheres to a regeneration property when there are no arrivals in a slot. Well-studied arrival processes such as autoregressive arrival processes and M/G/infinity-input or train arrival processes adhere to this property.
Book: International Workshop on Applied Probability, Abstracts
Pages: 66 - 66
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