The scheme of robust routing is investigated based on Valiant load-balancing under the hose uncertainty model,and the scheme is implemented into WDM mesh networks with traffic grooming.The optimization objective is to maximize the hose throughput.The mathematic formulation integer linear programming(ILP) is formulated.Two fast heuristic algorithms are proposed.Computer simulation results show SPR&MHF algorithm is fit for the WDM mesh networks with fewer links,and BR&MHF algorithm is fit for the WDM mesh networks with more links.