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The author presents an efficient solution to the motion-planning problem for multiple translating robots in the plane. It is shown that careful priority assignment can greatly reduce the average running time of the planner. A priority assignment method is introduced which attempts to maximize the number of robots which can move in a straight line form their start point to their goal point, thereby minimizing the number of robots for which expensive collision-avoiding search is necessary. This prioritization method is extremely effective in sparse workspaces where the moving robots are the primary obstacle.>
Stephen J. Buckley (Tue,) studied this question.