Optimal Prediction of Queue Lengths and Delays in GI/M/m Multiserver Queues

C. Murray Woodside · David A. Stanford · Bernard Pagurek

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Advanced Queuing Theory Analysis Probability and Statistical Research Age of Information Optimization

Abstract

We present optimal mean square predictors for queue lengths and delays in the stationary GI/M/m queue, based on a queue length measurement. The development specifies interrelationships among these predictors and numerical examples demonstrate basic properties of the predictors.

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1977Fundamentals of Queueing Theory.1968The serial correlation coefficients of waiting times in a stationary single server queue 1980Transient and steady state results for two parallel queues 1971The Serial Correlation Coefficients of Waiting Times in the Stationary GI/M/1 Queue 1971The Correlation Coefficients of the Queue Lengths of Some Stationary Single Server Queues

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