Interarrival Distribution of a Long-Range Dependent Workload Process

Research output: Contribution to journalArticle


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


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Electrical Engineering, Electronic Engineering, Information Engineering


  • Infinite source Poisson, long-range dependence, packet data traffic, Palm distribution, self-similarity
Original languageEnglish
Pages (from-to)15-26
JournalApplied Mathematics & Information Sciences
Issue number1L
Publication statusPublished - 2014
Publication categoryResearch

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