Mathematical Modelling for the Design of an Edge Router

This paper presents the formulation, modelling and analysis of network traffic for the purpose of designing an edge router, catering for a large campus. Presuming packet arrival from Poissonpsilas process, and departure or service time distribution to be exponential, a Markov model has been developed. The stochastic characteristics of the traffic has been monitored and studied over long durations through different times of a day and different days of a week. Design parameters like buffer capacity, link speed and various other key parameters for an edge router have been derived. Additionally, an algorithm has been suggested to manipulate the weights of the queues dynamically in a weighted round robin scheduling, thereby changing the packet departure rate of the flows. The algorithm eventually provides a control over the load factors and the probability of packet.