Divisor-Skip Wavelength Division Multiplexing (DS-WDM) ring is an optical interconnection network for workstation clusters or parallel machines which can connect various number of nodes easily using wavelength division multiplexing techniques. However, the wavelength-ordered routing algorithm proposed for the DS-WDM ring requires complicated processes in each router. Here, a new routing algorithm called the comparing dimensional number routing algorithm for the DS-WDM ring is proposed and evaluated. Although the diameter and average distance are almost same as traditional wavelength-ordered routing, the cost and latency are much reduced.

In this paper, Wavelength Division Multiple access (WDM) ring is proposed for interconnection in workstation clusters or parallel machines. This network consists of ring connected routers each of which selectively passes signals addressed in some particular wavelengths. Other wavelengths are once converted to electric signals, and re-transmitted being addressed in different wavelengths. Wavelengths are assigned to divisors of the number of nodes in the system. Using the regular WDM ring with imaginary nodes, the diameter and average distance are reduced even if the number of nodes has few divisors. It provides better diameter and average distance than that of the uni-directional torus. Although the diameter and average distance is worse than that of ShuffleNet, the physical structure of the WDM ring is simple and the available number of nodes is flexible.