Simulation modeling of a stochastic process on the example of a computer system

Abstract

The purpose of the article is to develop a methodology for evaluating stochastic processes in complex systems using the example of a three-processor computer system, which will make it possible to increase the effectiveness of monitoring the functioning and management of such objects. During the research, the methods of system approach, analysis and synthesis, stochastic and simulation modeling were applied, based on which the behavior of a three-processor computing system was reproduced under different conditions; simulations made it possible to reveal the mechanism of the system and verify the stochastic model; Markov chains made it possible to simulate the transitions of a computer system from state to state and to estimate the probabilities of system states as functions of time using numerical methods. Proposed simulation model in the article allows determining the states of the processors, calculate their load periods depending on the total time of operation, and determine the moment of time at which transient processes are completed and the computer system reaches its balanced mode of operation. The theoretical and practical significance of the research lies in the further studying of the existing and the development of new theoretical and methodological provisions for increasing the efficiency of the analysis and evaluation of stochastic processes in complex systems.

Keywords

• computing system
• simulation model
• stochastic modeling
• complex system