Maximum Entropy Analysis of Multiple-server Queueing Systems

W.C. Chan

27 citations0/0 files storedJournal of the Operational Research Society

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

Abstract

This paper deals with a general queueing system with many servers in steady state. Applying the method of entropy maximization with several constraints and the asymptotic property of the GI/G/c queueing systems, we provide approximate formulae for the distributions of the number of customers and the waiting time. In order to examine the accuracy of the approximate formulae, we present several numerical examples for illustration.

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References

1963Introduction to the Theory of Queues.1978Approximations for the M/G/m Queue 1981Approximations for the steady-state probabilities in theM/G/cqueue 1983A maximum entropy analysis of the M/G/1 and G/M/1 queueing systems at equilibrium 1981Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue 1986Maximum entropy and the G/G/1/N queue 1976A NUMERICAL METHOD FOR THE STEADY-STATE PROBABILITIES OF A G1/G/C QUEUING SYSTEM IN A GENERAL CLASS 1985Refining the Diffusion Approximation for the M/G/m Queue

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2002Maximum entropy analysis to the N policy M/G/1 queueing system with a removable server 2011Queueing model with state-dependent bulk arrival and second optional service

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