Performance evaluation of a queue fed by a Poisson Lomax Burst process

Chen, Jiongze and Addie, Ronald G. and Zukerman, Moshe and Neame, Timothy D. (2015) Performance evaluation of a queue fed by a Poisson Lomax Burst process. IEEE Communications Letters, 19 (3). pp. 367-370. ISSN 1089-7798


We consider a special case of the M/G/∞ traffic process, named as Poisson Lomax Burst Process (PLBP), where the burst lengths follow the Lomax distribution. We illustrate its advantage in modelling Internet traffic flow sizes, particularly, its ability to capture a large number of small flows. We provide two approximations based on analytical and fast simulation methods for the overflow probability of a single server queue fed by PLBP, and illustrate their accuracy by discrete-event simulations.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2012 IEEE. Permanent restricted access to published version due to publisher copyright policy.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 17 Apr 2015 03:56
Last Modified: 24 Jun 2016 01:38
Uncontrolled Keywords: long range dependence process; Pareto; Lomax; queueing analysis; traffic modelling
Fields of Research : 10 Technology > 1005 Communications Technologies > 100504 Data Communications
10 Technology > 1005 Communications Technologies > 100503 Computer Communications Networks
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
Socio-Economic Objective: B Economic Development > 89 Information and Communication Services > 8901 Communication Networks and Services > 890101 Fixed Line Data Networks and Services
Identification Number or DOI: 10.1109/LCOMM.2014.2385083

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