The study of open-loop stochastic queuing networks with heterogeneous requests

Abstract

In earlier studies, the authors developed a method for calculating the parameters of queuing systems while taking into account the heterogeneity of the requests. In a number of works, the authors investigated the possible errors and mistakes that arise when using this calculation method in closed queuing networks with heterogeneous requests. In the present paper, a method for calculating the parameters of open-loop stochastic heterogeneous networks is developed. In addition, algorithms for the calculation of the normalization constants and the parameters of an open-loop stochastic heterogeneous network of arbitrary configuration are designed.