On the tails of waiting-time distributions

AG Pakes - Journal of Applied Probability, 1975 - cambridge.org
AG Pakes
Journal of Applied Probability, 1975cambridge.org
(t ~ (0) 555 Page 1 J. Appl. Prob. 12, 555-564 (1975) Printed in Israel © AppliedProbability
Trust 1975 ON THE TAILS OF WAITING-TIME DISTRIBUTIONS AG PAKES, Monash University,
Clayton, Australia Abstract Results are given which relate the tail behaviour of the service and
limiting waiting time distributions of a GI/G/l queue. A limit theorem for the maxima of waiting
times is given. GI/G/l; BRANCHING PROCESSES; SUB-EXPONENTIAL DISTRIBUTIONS 1.
Introduction and principal results Consider the GI/G/l queue where A(·) denotes the …
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.
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