On the M/G/1 queue with Bernoulli feedback

Authors:
Kiran Rege
Affiliations:
AT & T Bell Laboratories, 101 Crawfords Corner Road, P.O. Box 3030, Room 3M-324, Holmdel NJ 07733-3030, USA
Venue:
Operations Research Letters
Year:
1993

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The M/G/1 Processor-Sharing Queue with Bulk Arrivals

Proceedings of the IFIP TC6 Task Group/WG6.4 International Workshop on Performance of Communication Systems: Modelling and Performance Evaluation of ATM Technology

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Abstract

This paper takes a fresh look at the M/G/1 queue with Bernoulli feedback. Various aspects of this queue have been analyzed in the queueing literature. The principal contribution of this paper is a proof based on some branching process-like concepts which simplifies the derivation of certain performance measures associated with this queue and explains the 'physical significance' of some of the quantities that appear in the complex expressions characterizing these performance measures.