Routing and dimensioning of optical networks under traffic growth models: an asymptotic analysis

Abstraceln this paper we consider the problem of routing and problem is solved for time-varying traffic amvals which is more dimensioning in a large optical network assuming the traffic is growing over time. In optical networks, traffic is carried through lightpaths and we model the traffie as follows: Lightpaths arrive randomly to a time-varying Poisson process and hold for a random time with a eeneral distribution. We are interested in relevant in the c ~ e n t scenario ofrapidly growing traffic in optical networks, B~~ in both the dimensioning problem is solved for an exponentialholding time distribution assuming the routes are fixed. dimensioning the links sothat the first lightpath request rejection will oecur, with high probability, after a specified period Of time T and thus the network requires no capacity upgradation in that time period. Here we propose a solution based on the absorption