Asymptotic relations in queueing theory

J. W. Cohen

Stochastic Processes and their Applications, 1973, vol. 1, issue 2, 107-124

Abstract: For the GI[+45 degree rule]G[+45 degree rule]1 queueing system a number of asymptotic results are reviewed. Discussed are asymptotics related to the time parameter for t --> [infinity] relaxation times, heavy traffic theory, restricted accessibility with large bounds, approximation by diffusion processes, exponential and regular variation of the tail of the waiting time distribution, limit theorems and extreme value theorems.

Date: 1973
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