Abstract
This paper considers a stable GI/GI/1 queue with subexponential service time distribution. Under natural assumptions we derive the tail behaviour of the busy period of this queue. We extend the results known for the regular variation case under minimal conditions. Our method of proof is based on a large deviations result for subexponential distributions.
Original language | English |
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Pages (from-to) | 237-258 |
Number of pages | 22 |
Journal | Stochastic Processes and their Applications |
Volume | 111 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2004 |
Keywords
- Busy period
- GI/GI/1 queue
- Precise large deviations
- Subexponential distribution
- Transient random walk