On the tails of waiting-time distributions
- 1 September 1975
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (3), 555-564
- https://doi.org/10.2307/3212870
Abstract
Results are given which relate the tail behaviour of the service and limiting waiting time distributions of a GI/G/1 queue. A limit theorem for the maxima of waiting times is given.Keywords
This publication has 8 references indexed in Scilit:
- Functions of probability measuresJournal d'Analyse Mathématique, 1973
- Degeneracy Properties of Subcritical Branching ProcessesThe Annals of Probability, 1973
- Some results on regular variation for distributions in queueing and fluctuation theoryJournal of Applied Probability, 1973
- Extreme Values in the GI/G/1 QueueThe Annals of Mathematical Statistics, 1972
- Branching ProcessesPublished by Springer Nature ,1972
- Slowly varying functions and asymptotic relationsJournal of Mathematical Analysis and Applications, 1971
- Tail equivalence and its applicationsJournal of Applied Probability, 1971
- A Theorem on Sums of Independent Positive Random Variables and Its Applications to Branching Random ProcessesTheory of Probability and Its Applications, 1964