Wavelength assignment in WDM rings to minimize SONET ADMs

We study wavelength assignment for lightpaths over WDM rings to minimize the SONET ADMs (add/drop multiplexers) used. This problem has attracted much attention recently. However, its computational complexity remains unknown, and the only known heuristic (Gerstel et al., 1998) which does not allow the splitting of lightpaths is problematic in terms of both the algorithm itself and its performance analysis. We first prove the NP-completeness of this problem, followed by a nontrivial randomized (3+e)/(1+e)-approximation scheme. We then present a tighter lower bound on the minimum number of ADMs required. After that, we show the incorrectness of the known heuristic and then modify it to make it correct. We also propose three additional heuristics. Their performances are compared through extensive simulation studies.

[1]  Vincent W. S. Chan,et al.  All-Optical Network Consortium - Ultrafast TDM Networks (Invited Paper) , 1996, IEEE J. Sel. Areas Commun..

[2]  I. Chlamtac,et al.  Lightnets: Topologies for High-speed Optical Networks , 1993 .

[3]  Ori Gerstel,et al.  Cost-effective traffic grooming in WDM rings , 2000, TNET.

[4]  Gary L. Miller,et al.  The Complexity of Coloring Circular Arcs and Chords , 1980, SIAM J. Algebraic Discret. Methods.

[5]  Ori Gerstel,et al.  Cost effective traffic grooming in WDM rings , 1998, Proceedings. IEEE INFOCOM '98, the Conference on Computer Communications. Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies. Gateway to the 21st Century (Cat. No.98.

[6]  Ori Gerstel,et al.  Wavelength assignment in a WDM ring to minimize cost of embedded SONET rings , 1998, Proceedings. IEEE INFOCOM '98, the Conference on Computer Communications. Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies. Gateway to the 21st Century (Cat. No.98.

[7]  Pierre A. Humblet,et al.  Models of Blocking Probability in All-Optical Networks with and Without Wavelength Changers , 1995, IEEE J. Sel. Areas Commun..

[8]  Eli Upfal,et al.  Efficient routing in all-optical networks , 1994, STOC '94.

[9]  Anthony S. Acampora,et al.  Benefits of Wavelength Translation in All-Optical Clear-Channel Networks , 1996, IEEE J. Sel. Areas Commun..

[10]  A. Tucker,et al.  Coloring a Family of Circular Arcs , 1975 .