Ciencias Exactas y Ciencias de la Salud

Permanent URI for this collectionhttps://hdl.handle.net/11285/551039

Pertenecen a esta colección Tesis y Trabajos de grado de las Maestrías correspondientes a las Escuelas de Ingeniería y Ciencias así como a Medicina y Ciencias de la Salud.

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Discrete heavy tailed distributions for network traffic modeling
(Instituto Tecnológico y de Estudios Superiores de Monterrey, 2001-06-01) Villarreal Reyes, Salvador; Villarreal Reyes, Salvador; 40774; Muñoz Rodríguez, David; Scheel Mayenberger, Carlos; Vargas Rosales, César; Rodríguez Cruz, José Ramón; Programa de Graduados en Electrónica, Computación, Información y Comunicaciones; División de Electrónica, Computación, Información y Comunicaciones; Campus Monterrey
In this work we derive discrete heavy tailed distributions that can be used to model the holding times or the ON and OFF periods observed in the present network traffic. We obtain two discrete distributions, namely the zeta prime distribution and the beta CC distribution. The zeta prime distribution offers a better fit to the continuous Pareto distribution (normally used to fit the empirical distribution obtained from the statistical analysis of computer network traffic) than the Zipf distribution. The beta CC distribution is obtained from an urn model that could be applied to several traffic issues such as the holding times, the ON and OFF periods, etc. Finally, we present an entropy analysis for the ON periods that can be used to estimate the probability of continuing with the holding time during the next time slot or stopping the call in the next time slot.

Ciencias Exactas y Ciencias de la Salud

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