The N-Burst/G/1 Model with Heavy-Tailed Service-Times Distribution

Authors:
Ronit Nossenson;Hagit Attiya
Affiliations:
Technion;Technion
Venue:
MASCOTS '04 Proceedings of the The IEEE Computer Society's 12th Annual International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunications Systems
Year:
2004

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Abstract

This study introduces a new analytic queuing model, the N-Burst/G/1 model with heavy-tailed service-time distribution, which captures many of the issues that affect Web servers as observed by empirical studies. An asymptotic calculation of the modelýs waiting-time distribution is presented; this relies on calculating the waiting-time distribution in the M/G/1 model with heavy-tailed service-time distribution. Finally, using real data and simulation we verify the modelýs assumptions and demonstrate its accuracy.