4.7 Article

Complexity of cyclic scheduling problems: A state-of-the-art survey

Journal

COMPUTERS & INDUSTRIAL ENGINEERING
Volume 59, Issue 2, Pages 352-361

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cie.2010.03.013

Keywords

Cyclic scheduling problems; Complexity; Reducibility; Robotic scheduling

Funding

  1. Hong Kong Polytechnic University [G-U720]
  2. Spanish Government [MTM2007-60928, MTM2009-08830]
  3. European Funds for Regional Development

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In this survey we review the current complexity status of basic cyclic scheduling models. We start with the formulations of three fundamental cyclic scheduling problems, namely the cyclic jobshop, cyclic flow-shop, and cyclic project scheduling problems. We present state-of-the-art results on the computational complexity of the problems, paying special attention to recent results on the unsolvability (NP-hardness) of various cyclic problems arising from the scheduling of robotic cells. (c) 2010 Elsevier Ltd. All rights reserved.

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