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With the huge capacity, wavelength division multiplexing (WDM) optical networks are predominantly used as the transport infrastructure to carry inter-domain traffic for client networks. Traffic grooming refers to the aggregation of low-speed client traffic flows onto high-capacity optical connections, to achieve cost-effective traffic transport. In this paper, we propose a route segment technique to efficiently compute the client traffic blocking probability in dynamic traffic grooming, where client traffic randomly arrives/departs. In our experiments, the blocking probabilities computed by this technique closely match the results obtained by simulations.