Tail asymptotics for the busy period in the GI/G/1 queue

Mathematics of Operations Research

Volumn 26, Issue 3, 2001, Pages 485-493

  Zwart, A P ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Busy periods; Cycle maxima; GI G 1 queue; Heavy tailed distributions

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PROBABILITY DISTRIBUTIONS; QUEUEING THEORY; THEOREM PROVING;

SERVICE TIME DISTRIBUTION;

OPERATIONS RESEARCH;

EID: 0035435162     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.26.3.485.10584     Document Type: Article

References (19)

1. Asymptotics for M/G/1 low-priority waiting-time tail probabilities
2. Subexponential asymptotics for stochastic processes: Extremal behaviour, stationary distributions and first passage times
3. Exact asymptotics for a large deviations problem in the GI/GI/1 queue
4. Tail asymptotics for M/G/1 type queueing processes with subexponential increments
5. Convergence rates for M/G/1 queues and ruin problems with heavy tails
6. Sampling at subexponential times, with queueing applications
7. Coupled processors with regularly varying service times
8. Fluid queues with heavy-tailed activity period distributions
9. The busy period in the fluid queue
10. Intermediate regular and Π variation
11. Some results on regular variation for distributions in queueing and fluctuation theory
12. On the asymptotic behaviour of the distributions of the busy period and service time in M/G/1
13. On the tails of waiting-time distributions
14. Activity periods of an infinite server queue and performance of Certain heavy tailed fluid queues
15. Asymptotic behaviour of Wiener-Hopf factors of a random walk