A Compressed Annealing Approach with Pre-Process for the Asymmetric Traveling Salesman Problem with Time Windows
Tadanobu Mizogaki*1, Masao Sugi*2, Masashi Yamamoto*3, Hidetoshi Nagai*3, Yusuke Shiomi*3, and Jun Ota*4
*1Mori Seiki Co. Ltd.
*2The University of Electro-Communications
*3NS Solutions Corporation
*4The University of Tokyo
This paper proposes a method of rapidly finding a feasible solution to the asymmetric traveling salesman problem with time windows (ATSP-TW). ATSP-TW is a problem that involves determining the route with the minimum travel cost for visiting n cities one time each with time window constraints (the period of time in which the city must be visited is constrained). “Asymmetrical” denotes a difference between the cost of outbound and return trips. For such a combinatorial optimization problem with constraints, we propose a method that combines a pre-process based on the insertion method with metaheuristics called “the compressed annealing approach.” In an experiment using a 3-GHz computer, our method derives a feasible solution that satisfies the time window constraints for all of up to about 300 cities at an average of about 1/7 the computing time of existing methods, an average computing time of 0.57 seconds, and a maximum computing time of 9.40 seconds.
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