Parametric algorithms for 2-cyclic robot scheduling with interval processing times

  • Authors:
  • Vladimir Kats;Eugene Levner

  • Affiliations:
  • Institute for Industrial Mathematics, Beer-Sheva, Israel 84641;Holon Institute of Technology, Holon, Israel 58102

  • Venue:
  • Journal of Scheduling
  • Year:
  • 2011

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Abstract

Consider an m-machine production line for processing identical parts served by a mobile robot. The problem is to find the minimum cycle time for 2-cyclic schedules, that is, schedules in which exactly two parts enter and two parts leave the production line during each cycle. This work treats a special case of the 2-cyclic robot scheduling problem when the robot route is given and operation durations are chosen from prescribed intervals. A strongly polynomial algorithm of time complexity O(m 8log驴m) is proposed.