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A detail analysis of VRPTW and the condition for the investigation of VRPTW is proposed following with some related mathematics models. For the characteristics of the VRPTW, GTSA algorithm is designed combined with the Tabu Search algorithm and Simulated Annealing algorithm. Finally, an instance is presented to validate the three algorithms GA, GSA and GTSA by MATLAB and some comparisons between them are made. It is concluded that the GSA and GTSA have very good searching capability and computing efficiency, with stable and reliable computing ability.