Interarrival distribution of a long-range dependent workload process

Mine Çaglar, Mohsin Iftikhar, Bjorn Landfelt

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)15-26
Number of pages12
JournalApplied Mathematics and Information Sciences
Issue number1
Publication statusPublished - 2014


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