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.
Çaglar, M., Iftikhar, M., & Landfelt, B. (2014). Interarrival distribution of a long-range dependent workload process. Applied Mathematics and Information Sciences, 8(1), 15-26. https://doi.org/10.12785/amis/081L03