Fractal geometry in network design: Applications and optimization techniques

Abstract

This way fractal geometry, accepted in mathematics as the study of self-similar shapes at a wide range of scales, can be positioned as a beneficial advisory in the context of network layouts, as well as in achieving enhanced levels of efficiency and robustness in a communication network. The purpose of this paper is to shed light on fractal geometry and its ability to create and design network, specific to analyze the benefit of fractal geometry and its ability to simulate a complex network, optimize the data transmission efficiency and better plan the network routing and resource distribution. The research work also extends the analysis of applying optimization techniques like GA, PSO, SA with fractal designs to improve their performance. These findings suggest that fractal networks display quite significant strengths in such aspects as scalability, and tolerance to node failures in comparison to various customary network structures.