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Heavy traffic theory for queues with several servers. II

Published online by Cambridge University Press:  14 July 2016

Julian Köllerström
Julian Köllerström*
Affiliation:
University of Kent at Canterbury
*
∗Postal address: Mathematical Institute, Cornwallis Building, The University, Canterbury, Kent, CT2 7NF, U.K.
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Abstract

The queues being studied here are of the type GI/G/k in statistical equilibrium (with traffic intensity less than one). The exponential limiting formula for the waiting time distribution function in heavy traffic, conjectured by Kingman (1965) and established by Köllerström (1974), is extended here. The asymptotic properties of the moments are investigated as well as further approximations for the characteristic function and error bounds for the limiting foemulae.

Keywords

QUEUE GI/G/kWAITING TIMEEQUILIBRIUM DISTRIBUTIONEXPONENTIAL LIMIT FORMULAMOMENTSERROR BOUNDSCHARACTERISTIC FUNCTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 2 , June 1979 , pp. 393 - 401
Copyright
Copyright © Applied Probability Trust 1979 

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