Minimizing the number of robots to meet a given cyclic schedule

Vladimir Kats, Eugene Levner

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

We study a problem of cyclic no-wait scheduling of identical parts on m sequential machines. A number of robots are used to transport the parts from one machine to another. We consider the problem that has two performance measures: one is the number of robots to be used, the other is the period of a cyclic schedule. We find the minimal number of robots needed to meet a given cyclic schedule, for all possible cycle lengths, the complexity of the suggested algorithm bang O(m5), independently of the range within which the cycle length value may vary.

Original languageEnglish
Pages (from-to)209-226
Number of pages18
JournalAnnals of Operations Research
Volume69
DOIs
StatePublished - 1997
Externally publishedYes

Keywords

  • Assignment problem
  • Cyclic scheduling
  • Polynomial algorithm
  • Robotic scheduling

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