On the relation between network throughput and delay curves

The theoretical background of network throughput and delay has been widely used in the previous studies to efficiently study the behaviour of different interconnection networks. In this paper, we derive a new relationship between the network throughput and delay curves. Specifically, we prove that this relation on the average delay and throughput in x-Folded TM topology by considering the tangent line of each curve. Based on the achievements, we introduce the reflection relation between these two performance metrics, while considering the gradient of the metric curves. Moreover, we show the superiority of x-Folded TM topology, previously introduced with same authors, is obvious with this relation in interconnection networks. Consequently, the obtained results have been verified with simulation results to signify how to relate the performance metrics for various topologies in interconnection networks