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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
; and
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
external identifiers
  • scopus:84896884905
ISSN
1935-0090
DOI
10.12785/amis/081L03
project
ELLIIT LU P01: WP2 Networking solutions
language
English
LU publication?
yes
id
2618eaae-1a2f-41fe-8108-645a19d913b2 (old id 4360998)
date added to LUP
2016-04-04 09:21:05
date last changed
2025-01-06 07:15:31
@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}},
  keywords     = {{Infinite source Poisson; long-range dependence; packet data traffic; Palm distribution; self-similarity}},
  language     = {{eng}},
  number       = {{1L}},
  pages        = {{15--26}},
  publisher    = {{Natural Sciences Publishing}},
  series       = {{Applied Mathematics & Information Sciences}},
  title        = {{Interarrival Distribution of a Long-Range Dependent Workload Process}},
  url          = {{http://dx.doi.org/10.12785/amis/081L03}},
  doi          = {{10.12785/amis/081L03}},
  volume       = {{8}},
  year         = {{2014}},
}