Abstract
The problem of routing a robot (or vehicle) between n stations in the plane in order to transport objects is well studied, even if the stations are specially arranged, e.g. on a linear track or circle. The robot may use either all or none of the stations for reloading. We will generalize these concepts of preemptiveness/nonpreemptiveness and allow the robot to choose k ≤ n reload-stations. We will show that the problem on the linear and circular track remains polynomially solvable.
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