Derivation of an Analytical Model for Evaluating the Performance of a Multi–Queue Nodes Network Router

This paper presents a derivation of an analytical model to evaluate the performance of a multi-queue nodes network router, which is referred to as the m QN model. In this model, expressions were derived to calculate two performance metrics, namely, the queue node and system utilization factors. In order to demonstrate the flexibility and effectiveness of the m QN model in analyzing the performance of a multi-queue nodes network router, two scenarios were performed. These scenarios investigated the variation of queue node and system utilization factors against queue node dropping probability for various numbers of queue nodes, and packets arrival routing probabilities. The performed scenarios demonstrated the flexibility and effectiveness of the m QN model to evaluate the performance of a multi-queue nodes router prior to the design and implementation stage as compared to experimental tests and computer simulations.