Performance assessment of wavelength routed optical networks with shortest path routing over degree three topologies

Abstract

-In this paper, we present an assessment of the blocking performance in wavelength routing optical networks with degree-three topologies of minimum diameter. It is analysed a general family of degree-three topologies, of which the chordal ring family is a particular case. Performance results show that all topologies of absolute minimum diameter have exactly the same path blocking probabilities.

Performance assessment of wavelength routing optical networks with irregular degree-three topologies

“…As described in section 2, the smallest diameter of an irregular degree-three topology is m+l, where m is obtained through equation 1. According to previous studies (see [15], [ 17]), the smallest diameter of a chordal ring is f i -1. Thus, the smallest diameter of the chordal ring with 100 nodes is 9, while the minimum of shortest path lengths in an irregular degree-three topology with 100 nodes is 6.…”

“…The two degreethree families previously studied, above referred, are subfamilies of this general family. For instance, the chordal ring family is the sub-family, of this general family, ..., DTT(N-I, N-3, w3) and we observed that each family of the type DTT(w1, (w1+2)madN, w3) or DTT(wl, (wl-2)mod N, w3), with 11wlS99 and wl#w2#w3, has a diameter which is a shifted version (with respect to w3) of the diameter of the chordal ring family [15]. We also identified the chord lengths at which minimum diameters occur.…”

“…Concerning hop-length distribution for regular degree-three topologies, we have found general expressions (for any number of nodes) for the hop-length distribution of some particular topologies, but for any sub-family of the DTT(w1, w2, w3) general family, including the chordal ring family, we were unable to find a general expression for the hop-length distribution, as a function of number of nodes and chord lengths. In [15], instead of defining the hop-length distribution through an analytical equation used by the analytical framework to compute the path blocking probability, we developed an algorithm that provides the hop-length distribution for a given topology of the D T W l , ~2 .~3 ) type. As pointed out in [16], it is very difficult to estimate the traffic performance of irregular topologies using analytical models.…”

High performance optical backbones for next generation Internet

“…In [8], we introduced a general family of degree three topologies, of which the chordal ring family is a particular case. In each node of a chordal ring, we have a link to the previous node, a link to the next node and a chord.…”

“…In order to try to find degree three topologies that may outperform chordal rings with smallest diameter, in [8], we introduced a general regular degree three family, of which the chordal ring family is a particular case. We analysed all topologies of that general regular degree three family and we showed that there are several regular degree three topologies with the same smallest diameter of the chordal ring with smallest diameter and with exactly the same path blocking performance, but we have not found any degree three topology outperforming chordal rings with smallest diameter.…”