Interarrival Distribution of a Long-Range Dependent Workload Process

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Interarrival Distribution of a Long-Range Dependent Workload Process. / Caglar, Mine; Iftikhar, Mohsin; Landfeldt, Björn.

In: Applied Mathematics & Information Sciences, Vol. 8, No. 1L, 2014, p. 15-26.

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TY - JOUR

T1 - Interarrival Distribution of a Long-Range Dependent Workload Process

AU - Caglar, Mine

AU - Iftikhar, Mohsin

AU - Landfeldt, Björn

PY - 2014

Y1 - 2014

N2 - 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

AB - 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

KW - Infinite source Poisson

KW - long-range dependence

KW - packet data traffic

KW - Palm distribution

KW - self-similarity

U2 - 10.12785/amis/081L03

DO - 10.12785/amis/081L03

M3 - Article

VL - 8

SP - 15

EP - 26

JO - Applied Mathematics and Information Sciences

T2 - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

SN - 1935-0090

IS - 1L

ER -