Multi-Objective Vehicle Routing Problems with Time Windows: a Vector Evaluated Artificial Bee Colony Approach

The vehicle routing problem with time windows, widely used in practice, is a nondeterministic polynomial time (NP)-hard problem. The proposed optimization algorithm is based on the artificial bee colony algorithm combined with the vector evaluated technique for solving the problem as a multi-objective problem. Unlike traditional two-steps algorithms, this algorithm provides a simultaneous solution set. The approach was tested on standard Solomon benchmark problems and the result shows that this algorithm was better than or equal to other heuristic algorithms.

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