MODELING AND PERFORMANCE EVALUATION OF INTERNET TRAFFIC CONGESTION IN CSIS USING M/M/1 QUEUING THEORY

Student: Dahiru Ramat Momoh
Supervisor: Mr Oluwole Akinwumi Odetunmibi
HOD: Dr Olasunmbo Olaoluwa Agboola
Department of Mathematics
Science and Technology
Covenant University, Canaan Land, Ota, Ogun State

Abstract

ABSTRACT This study focuses on modelling and performance evaluation of internet traffic congestion within the Computer Services and Information Systems (CSIS) network at Covenant University using the M/M/1 queuing theory model. Due to the ever increasing demand for network resources and the increasing number of students and staffs per year, congestion has become a critical challenge affecting the quality of service and user experience. By analyzing real traffic data collected over the span of a typical school week (7 days), key parameters such as arrival rate and service rate are estimated to characterize network behavior. The M/M/1 queuing model was then applied to evaluate performance metrics including system utilization, average waiting time, and average number of users in the system. The findings in this study reveal periods of high congestion and offer insight into network bottlenecks, enabling well informed recommendations for congestion management. The approach taken in this study demonstrates the effectiveness of queuing theory as a mathematical tool for optimizing campus network performance and ensuring efficient internet service delivery.

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