APPROXIMATION OF PROBABILITY DISTRIBUTIONS IN QUEUEING MODELS

Aliev Taufic Ismailovich

2013 , VOLUME 13, NUMBER 2 ( MARCH-APRIL )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

Publications

Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

Partners

APPROXIMATION OF PROBABILITY DISTRIBUTIONS IN QUEUEING MODELS

T. I. Aliev

Read the full article

Article in Russian

Abstract

For probability distributions with variation coefficient, not equal to unity, mathematical dependences for approximating distributions on the basis of first two moments are derived by making use of multi exponential distributions. It is proposed to approximate distributions with coefficient of variation less than unity by using hypoexponential distribution, which makes it possible to generate random variables with coefficient of variation, taking any value in a range (0; 1), as opposed to Erlang distribution, having only discrete values of coefficient of variation.

Keywords: probability distribution, coefficient of variation, approximation, hypoexponential distribution, hyperexponential distribution, Erlang distribution

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License