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Interarrival Distribution of a Long-Range Dependent Workload Process

Caglar, Mine; Iftikhar, Mohsin and Landfeldt, Björn LU (2014) In Applied Mathematics & Information Sciences 8(1L). p.15-26
Abstract
We derive the interarrival distribution of a workload input process which is a variation of the infinite source Poisson process for packet traffic. It accounts for long-range dependence and self-similarity exhibited by real traces in the Internet. The packet generation process is compound Poisson over each session which has a heavy tailed distribution. Considering the dependence induced by the workload, we derive the conditional distribution of the next interarrival time given that a packet has just arrived. This allows the use of the workload as general arrivals to a queueing system for further performance analysis
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Infinite source Poisson, long-range dependence, packet data traffic, Palm distribution, self-similarity
in
Applied Mathematics & Information Sciences
volume
8
issue
1L
pages
15 - 26
publisher
Natural Sciences Publishing Corporation
external identifiers
  • Scopus:84896884905
ISSN
1935-0090
DOI
10.12785/amis/081L03
language
English
LU publication?
yes
id
2618eaae-1a2f-41fe-8108-645a19d913b2 (old id 4360998)
date added to LUP
2014-03-21 09:12:20
date last changed
2017-01-01 07:47:17
@article{2618eaae-1a2f-41fe-8108-645a19d913b2,
  abstract     = {We derive the interarrival distribution of a workload input process which is a variation of the infinite source Poisson process for packet traffic. It accounts for long-range dependence and self-similarity exhibited by real traces in the Internet. The packet generation process is compound Poisson over each session which has a heavy tailed distribution. Considering the dependence induced by the workload, we derive the conditional distribution of the next interarrival time given that a packet has just arrived. This allows the use of the workload as general arrivals to a queueing system for further performance analysis},
  author       = {Caglar, Mine and Iftikhar, Mohsin and Landfeldt, Björn},
  issn         = {1935-0090},
  keyword      = {Infinite source Poisson,long-range dependence,packet data traffic,Palm distribution,self-similarity},
  language     = {eng},
  number       = {1L},
  pages        = {15--26},
  publisher    = {Natural Sciences Publishing Corporation},
  series       = {Applied Mathematics & Information Sciences},
  title        = {Interarrival Distribution of a Long-Range Dependent Workload Process},
  url          = {http://dx.doi.org/10.12785/amis/081L03},
  volume       = {8},
  year         = {2014},
}