APPLICATION OF COMBINATORICS FOR OPTIMIZATION OF THE NETWORK INFRASTRUCTURE

Abstract

In today's world of information technology, the efficiency and reliability of the network infrastructure are critical to the functioning of any organization. Optimizing network infrastructure allows you to reduce equipment costs, increase data transfer rates, and ensure reliability and resilience to failures. One of the key tasks in the design and optimization of the network infrastructure is the effective location of nodes, routers and switches, taking into account the requirements for bandwidth, reliability and minimizing the costs of network construction. This includes solving the problem of choosing the best routes for data transmission and load sharing. Combinatorial methods and algorithms are used to optimize the network infrastructure, will allow to achieve a balance between the cost of the equipment, the efficiency of the use of resources and the reliability of the network. The article defines the main directions of the classical use of graph theory in solving typical network infrastructure optimization problems. Current areas of application of combinatorics and graph theory in research, which allow to minimize the costs of building a network, are determined. An example of the use of combinatorics to solve the problem of network infrastructure optimization, in particular the placement of servers to minimize data transmission delays, is shown. The mathematical model of this problem is formulated using a program written in the Python language for calculations. The development of new models and algorithms, the conduct of empirical research and the implementation of practical recommendations will contribute to progress in the design and management of modern networks.