Reduced load approximation for WDM rings with wavelength continuity constraint

A reduced load approximation for WDM rings with a wavelength continuity constraint under Poissonian, homogeneous traffic with any spatial profile is presented. The model accounts for interactions among successive links in a linear network, correcting the overestimation of the blocking probability caused by the link independence assumption. Comparisons with simulation results show that the proposed reduced load approximation is a better substitute for the well-known reduced load approximation that uses the link independence assumption for blocking computation. It is shown that the proposed model provides accurate estimates of blocking probabilities in WDM rings with a wavelength continuity constraint. (C) 2006 Optical Society of America.51293794

Asymptotic blocking probabilities in rings with single-circuit links

We present a better substitute for the classical link independence assumption of the Lee approximation, and we prove it to be asymptotically valid for rings with unit capacity links. A simple asymptotic expression is derived for increasing ring size. The asymptotic probability is shown to be a very good approximation for finite-size rings.9656456