Estimation of waiting-time parameters in the GI/G/1 queuing system

Nils Blomqvist

13 citations0/0 files storedScandinavian Actuarial Journal

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

Abstract

In part I of this paper [2] it was shown that under certain conditions the mean square error of the average waiting-time is determined asymptotically by the relation as m and n tend to infinity. Here, ω-limn→∞ EWn and C(h) is the covariance function of the stationary waiting-time process.

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References

1952The theory of queues with a single server 1961The single server queue in heavy traffic 1962On Queues in Heavy Traffic 1962Some Inequalities for the Queue GI/G/1 1956On the Characteristics of the General Queueing Process, with Applications to Random Walk 1966On the algebra of queues 1968The serial correlation coefficients of waiting times in a stationary single server queue 1964Some Limit Theorems in the Theory of Mass Service

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1970On the transient behaviour of the GI/G/1 waiting-times 2007Time-Dependent Behaviour of an Alternating Service Queue

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