https://doi.org/10.36719/XXXX-XXXX/1/25-32
Samina Rustamova
Nakhchivan State University
Ph.d.student
https://orcid.org/0009-0002-7980-8960
Research Methods of the Fundamental Mathematical Characteristics of Quality Indicators in Modern Computer Networks
Abstract
The study of the fundamental mathematical characteristics of quality indicators in modern computer networks is crucial for understanding, analyzing, and optimizing network performance. This study encompasses various mathematical concepts and analysis techniques applied to evaluate network parameters such as latency, throughput, packet loss, jitter, and error rates.
Key mathematical characteristics explored in the study include mean, variance, percentiles, correlation coefficients, probability density functions, confidence intervals, and queueing theory. These mathematical tools provide network professionals with valuable insights into the behavior and dynamics of network systems.
Through statistical analysis, network engineers can assess the central tendency, variability, and distribution of network performance metrics. Mathematical modeling allows for the prediction of network behavior under different conditions and facilitates optimization efforts to improve network efficiency and reliability.
Practical examples demonstrate the application of mathematical analysis in real-world network scenarios, including traffic management, quality of service provisioning, wireless network optimization, and network security. By leveraging mathematical models and statistical tools, network professionals can identify performance bottlenecks, optimize resource allocation, and enhance overall network performance to meet business objectives and user requirements.
Keywords: Modern computer networks, mathematical characteristics, quality indicators, correlation coefficient, quality of service