Research of the delay in G/G/1 system

We presents results of delay research performed for queuing system H2/H1/1 type G/G/1 for a wide range varying of traffic parameters. It is known that distributed by hyperexponential law random variable H2 has covariance coefficient greater then unity. Therefore hyperexponential distribution law is available for approximation of heavy-tailed distributions. This work describes the approach for approximation of heavy-tailed arbitrary distributive law by hyperexponential law under taking into account that H2 is three-parameter distribution. It is available both for the level of two first moments and level of three first moments. System H2/H1/1 type G/G/1 has advantage of other systems with input heavy-tailed distributions because it provides ability to get exact analytical solution.