DefinePK

Abstract

The paper aims at carrying out the mathematical modeling and the performance analysis of a parallel computer system. Research methods are based on using the theory of analytical, numerical and simulation modeling, the theory of systems and queuing networks, the probability theory and the stochastic process theory. The authors deal with the analytical models of Task Managers for parallel processing systems based on the open-loop queuing systems. They investigate the methods of studying first-in-first-out Task Managers. The analytical models based on stochastic queuing networks for obtaining the managers’ probabilistic and temporal characteristics are presented in the article. The results of the work done are equations for calculating the mean residence time of the problem in each system under study. The analytical calculations have been verified for their adequacy by simulation modeling. The experimental results have been displayed on the graph. During the problem investigation the appropriate conclusions have been made for each system type presented in the article. The considered models of Managers can be used in general purpose systems (for example in operating systems).