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.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference10 articles.
1. Bounds on the delay distribution in GI/G/1 queues
2. Bounds on the mean waiting time in single server queues;Stoyan;Izvestija Akad. Nauk SSSR, techn. Kibernet. 1974,1974
3. Inequalities in the theory of queues;Kingman;J. R. Statist. Soc.,1970
4. Two Classes of Semi-Orderings and their Application in the Queuing Theory
5. Über einige Eigenschaften monotoner stochastischer Prozesse
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