Numerical Simulation of the Behavior of a Cyberphysical Agent as a Message Queuing System

The presentation of cyber-physical systems and devices as components of a multi-agent model is considered. The main method of interaction between agents of the cyber-physical type is investigated - the exchange of messages in the multi-agent model. It is proposed to consider the processing of messages from other agents as an indicator of the agent's performance. The dependence of the efficiency indicator of the agent-based model as the probability of timely message processing on the message flow density is analyzed. The technique of numerical modeling of systems with continuous time is considered. For this, the representation of such systems in the form of equivalent signal graphs is used. A technique for constructing such graphs based on a system of differential equations is proposed. A method for joint modeling of dynamic systems and systems with random flows is proposed. A graphic-analytical technique for numerical modeling of a queuing system in the form of a system of inhomogeneous linear differential equations of the first order is considered. An algorithm for the numerical modeling of queuing systems proposed by the authors, based on the previously considered technique, is presented. An example of modeling message processing by the simplest agent in the form of a queuing system is considered. An equivalent numerical simulation graph is constructed, on the basis of which a matrix simulation scheme is obtained. Examples of a simulation experiment and comparison with analytical results are given.