Semi-preemptive routing on a linear and circular track

  • Authors:
  • Dirk RäBiger;Rainer Schrader

  • Affiliations:
  • Zentrum für Angewandte Informatik, Universität zu Köln, Weyertal 80, 50931 Köln, Germany;Zentrum für Angewandte Informatik, Universität zu Köln, Weyertal 80, 50931 Köln, Germany

  • Venue:
  • Discrete Optimization
  • Year:
  • 2009

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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.