FUNCTIONALSTATISTICAL MODELS OF CONTROL AND MANAGEMENT OBJECTS

DOI: 10.31673/2786-8362.2025.018122

Abstract

In a modern infocommunication network, the object
of control and management can be any information network equipment, as well as the entire network as a
whole. In this case, the network is considered as a complex system that is subject to management. The
complexity of the control and management process is largely determined by the complexity of the objects. To
describe the functioning of the object, it would be advisable to build its mathematical model. The state of an
object is most fully characterized by a mathematical functional-statistical model – a system of equations or
operators that describe the dependence of the initial parameters of an object, system or unit on external or
internal influences during operation. Based on the analysis of this model, it is possible to formulate the main
tasks solved by the automatic control and management system, as well as synthesize the optimal network
management system, determine the degree of automation and its effectiveness.
When constructing a mathematical functional-statistical model, it is necessary to take into account that
a network as a control object can consist of systems of various classes and types. Such systems can be
autonomous and non-autonomous, stationary and non-stationary, closed and open. Therefore, to construct a
mathematical functional-statistical model, it is necessary to use a sufficiently generalized mathematical
apparatus, which, with appropriate changes, can be extended to individual cases.
Keywords: network management, control and management system, functional-statistical model, control
and management object, synthesis, optimal system, delay, availability factor, Monte Carlo method

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