Performance analysis of k-ary n-cube interconnection networks

Abstmct-VLSI communication networks are wire-limited. The cost of a network is not a function of the number of switches required, but rather a function of the wiring density required to construct the network. This paper analyzes commu-nication networks of varying dimension under the assumption of constant wire bisection. Expressions for the latency, average case throughput, and hot-spot throughput of k-ary n-cube networks with constant bisection are derived that agree closely with experi-mental measurements. It is shown that low-dimensional networks (e.g., tori) have lower latency and higher hot-spot throughput than high-dimensional networks (e.g., binary n-cubes) with the same bisection width. Index Terms- Communication networks, concurrent comput-ing, interconnection networks, message-passing multiprocessors, parallel processing, VLSI. I