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On exponential bounds for the waiting-time distribution function in GI/G/1

Published online by Cambridge University Press:  14 July 2016

R. Bergmann  and
D. Stoyan
R. Bergmann
Affiliation:
Karl Marx University, Leipzig, GDR
D. Stoyan
Affiliation:
Brennstoffinstitut, Freiberg, GDR
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Abstract

Exponential bounds for the stationary waiting-time distribution of the type ae–θt are considered. These bounds are obtained by the use of Kingman's method of ‘integral inequalities’. Approximations of Θ and a are given which are useful especially if the service and/or inter-arrival time distribution functions are NBUE or NWUE.

Keywords

GI/G/1 QUEUESWAITING-TIME DISTRIBUTIONEXPONENTIAL BOUNDSMONOTONICITYAPPROXIMATIONSNBUENWUE
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 411 - 417
Copyright
Copyright © Applied Probability Trust 1976 

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References

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