A Simulated Annealing for Multi-modal Team Orienteering Problem with Time Windows

Team orienteering problem (TOP) is NP-hard problem. Recently, a multi-modal team orienteering problem with time windows (MM-TOPTW) as a new extension of TOP is developed. Many real-world applications can be modeled as MM-TOPTW. In this paper, a simulated annealing (SA) is designed for MM-TOPTW. In the SA, a temperature reannealing scheme is adopted to get away the local optimum, and multiple neighborhood searches are carefully designed to improve solution. The computation results demonstrate the proposed algorithm can obtain better solution than the recently proposed algorithm for MM-TOPTW.

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