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This paper investigates the traffic handling capability of wavelength routed optical WDM (Wavelength Division Multiplexing) network, exploiting multi-path transmission under a proposed adaptive link weight algorithm. Data transmission through multiple paths improves the connection probability by reducing the wavelength hold time on a link. Further it reduces traffic load on bottleneck links by distributing traffic over multiple paths in the network. The proposed algorithm uses multiple edge disjoint paths to mitigate the congestion problem through load balancing and improves the reliability. We study the effectiveness of the proposed algorithm using network simulation and estimate the call blocking probability for the given resources through a single and multi-path transmission to establish the superiority of the latter approach.