A New Analytical Approach For The Estimation Of Blocking Probabilities In Linear All-optical Networks

Abstract

The paper introduces a new analytical approach for estimating blocking probabilities in linear all-optical networks. The assumptions of the classical Lee approximation are discussed and their effects are evaluated. The paper proposes a better substitute for the independent link assumption. The new assumption takes all active paths, as well as all free links, as independent objects on the network topology. The new model is shown to generate estimates that fit exactly the blocking probabilities obtained through simulations on linear topologies using Poissonian, single-wavelength spatially homogeneous traffic. Finally, the independent wavelength assumption is also evaluated.524782482Lee, C.Y., Analysis of switching networks (1955) Bell Syst. Tech. J., 34, pp. 1287-1315. , NovBarry, R.A., Humblet, P.A., Models of blocking probability in all-optical networks with and without wavelength changers (1996) IEEE J. Select. Areas Comm., 14 (5), pp. 858-867. , JunSubramaniam, S., Azizog̃lu, M., Somani, A.K., All-optical networks with sparse wavelength conversion (1996) IEEE/ACM Trans. Networking, 4, pp. 544-557. , AugHui, J.Y., (1990) Switching and Traffic Theory for Integrated Broadband Networks, , Kluwer Academic PublishersZang, H., Jue, J.P., Mukherjee, B., A review of routing and wavelength assignment approaches for wavelength-routed optical WDM networks (2000) SPIE Optical Networks Magazine, 1 (1), pp. 47-60. , JanWaldman, H., Campelo, D.R., Camelo, R., Dynamic priority strategies for wavelength assignment in WDM rings (2000) Proc. IEEE GLOBECOM'00, pp. 1288-1292. , San Francisco, CA, NovGeary, N., Antonopoulos, A., Mitchell, J., Ultra long haul transmission and reconfigurable OADMs for national-scale optical networks (2003) Proc. ONDM'03, 1, pp. 113-126. , Budapest, Hungary, Fe