Buffer overflow asymptotics for multiplexed regulated traffic
By characterizing the worst-case profile, which maximizes the content of a buffer fed with leaky bucket regulated flows in packet telecommunication networks, we derive a tight upper bound in the many-sources regime for the tail distribution of the workload generated by these flows in a FIFO queue wi...
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| Published in: | Performance evaluation Vol. 65; no. 8; pp. 555 - 572 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.07.2008
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| ISSN: | 0166-5316, 1872-745X |
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| Abstract | By characterizing the worst-case profile, which maximizes the content of a buffer fed with leaky bucket regulated flows in packet telecommunication networks, we derive a tight upper bound in the many-sources regime for the tail distribution of the workload generated by these flows in a FIFO queue with constant service rate. Furthermore, we compare this workload distribution with an
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queue and get insights on the better-than-Poisson property of regulated flows. We conclude that the superposition of independent regulated flows generates an asymptotically smaller workload than a marked Poisson process whose service times and intensity depend on the parameters of regulated sources. |
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| AbstractList | By characterizing the worst-case profile, which maximizes the content of a buffer fed with leaky bucket regulated flows in packet telecommunication networks, we derive a tight upper bound in the many-sources regime for the tail distribution of the workload generated by these flows in a FIFO queue with constant service rate. Furthermore, we compare this workload distribution with an
M
/
G
/
1
queue and get insights on the better-than-Poisson property of regulated flows. We conclude that the superposition of independent regulated flows generates an asymptotically smaller workload than a marked Poisson process whose service times and intensity depend on the parameters of regulated sources. |
| Author | Guillemin, F. Ying, Y. Mazumdar, R. Rosenberg, C. |
| Author_xml | – sequence: 1 givenname: Y. surname: Ying fullname: Ying, Y. organization: School of ECE, Purdue University, West Lafayette, IN 47906, USA – sequence: 2 givenname: F. surname: Guillemin fullname: Guillemin, F. organization: France Telecom R&D F-22300, Lannion, France – sequence: 3 givenname: R. surname: Mazumdar fullname: Mazumdar, R. email: mazum@ece.uwaterloo.ca organization: School of ECE, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 – sequence: 4 givenname: C. surname: Rosenberg fullname: Rosenberg, C. organization: School of ECE, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 |
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| Title | Buffer overflow asymptotics for multiplexed regulated traffic |
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