On Priority Queues in Heavy Traffic

Sati Mazumdar

23 citations0/0 files storedJournal of the Royal Statistical Society Series B (Statistical Methodology)

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

Summary For single-server, first-come-first-served queues, specified completely by the sequences of interarrival times and service times, if these sequences are stationary and if (in some sense) there is not too much dependence within or between them, it has been shown by Kingman (1962) that the waiting-time distribution is, in heavy traffic, approximately negative exponential. This result has been extended in the present paper when there are two types of customer, one type of customer having priority of service over that of the other.

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References

1952The theory of queues with a single server 1962A Waiting Line with Interrupted Service, Including Priorities 1962On Queues in Heavy Traffic 1967PROCEEDINGS OF THE SYMPOSIUM ON CONGESTION THEORY

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1972A Priority Queue with Low-Priority Arrivals General 1974A broad analysis of single server priority queues with two independent input streams, one of them Poisson

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