Approximations for M/G/s queues

Dietrich Stoyan

25 citations0/0 files storedMathematische Operationsforschung Statistik

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

Abstract

For some parameters (mean waiting time, mean queue size, probability that a customer has to wait) of M/G/s queues with a constant or a variable arrival rate bounds are obtained. In the proofs the concept of system approximation and monotonicity is used.

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References

1973Approximate Stochastic Behavior of n-Server Service Systems with Large n 1972Stochastic Order Relationships Between GI/G/k Systems 1973Approximation Formulae for Estimation of Waiting-Time in Multiple-Channel Queueing System

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