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Numerical approximations for compound geometric distributions with applications in queueing theory

Published online by Cambridge University Press:  14 July 2016

L. E. N. Delbrouck
L. E. N. Delbrouck*
Affiliation:
Bell-Northern Research, Ottawa, Ontario
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Abstract

A two-step procedure is described to approximate first come first served delay distributions in M/G/1 and GI/G/1 systems. The procedure consists in formulating a coarse initial approximation for the distribution sought, and then correcting this approximation by means of a suitable integral transformation. Examples are displayed.

Keywords

DELAY DISTRIBUTIONSQUEUESPOLLACZEK FORMULAWIENER-HOPF EQUATIONEXPONENTIAL APPROXIMANTSASYMPTOTIC BEHAVIORTWO-STEP COMPUTATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978 , pp. 202 - 208
Copyright
Copyright © Applied Probability Trust 1978 

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References

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