| Abstract [eng] |
Application of numerical methods with approximation allows to extend a class of systems represented by Markovian processes under investigation compared with analytical methods. In this paper we used approximation of positive distribution functions, using phase-type distributions: mixtures of Erlang distributions and Coxian distribution – both 2 and 3 moments-matching algorithms was used. Analysis of M/G/1 and G/M/1 queueing systems showed, that moment-based queueing approximation gives high accuracy. In purpose to compute characteristics of M/G/1 and G/M/1 systems described in an event-based language, algorithms and software was created. Comparison to simulation results shows, that event-based language enables to get more precise results. Analysis of G/G/1 systems showed, that moment-based approximation can be used to analyse difficult queueing systems. |
