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Non-overlapping Sequence-Dependent Setup Scheduling with Dedicated Tasks

  • Marek VlkEmail author
  • Antonin Novak
  • Zdenek Hanzalek
  • Arnaud Malapert
Conference paper
  • 173 Downloads
Part of the Communications in Computer and Information Science book series (CCIS, volume 1162)

Abstract

The paper deals with a parallel machines scheduling problem with dedicated tasks with sequence-dependent setup times that are subject to the non-overlapping constraint. This problem emerges in the productions where only one machine setter is available on the shop floor. We consider that setups are performed by a single person who cannot serve more than one machine at the same moment, i.e., the setups must not overlap in time. We show that the problem remains \(\mathcal {NP}\)-hard under the fixed sequence of tasks on each machine. To solve the problem, we propose an Integer Linear Programming formulation, five Constraint Programming models, and a hybrid heuristic algorithm LOFAS that leverages the strength of Integer Linear Programming for the Traveling Salesperson Problem (TSP) and the efficiency of Constraint Programming at sequencing problems minimizing makespan. Furthermore, we investigate the impact of the TSP solution quality on the overall objective value. The results show that LOFAS with a heuristic TSP solver achieves on average 10.5% worse objective values but it scales up to 5000 tasks with 5 machines.

Keywords

Constrained setup times Constraint Programming Hybrid heuristic 

Notes

Acknowledgements

We would like to thank Philippe Laborie for his help with the design of CP4 model.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Marek Vlk
    • 1
    • 2
    Email author
  • Antonin Novak
    • 2
    • 3
  • Zdenek Hanzalek
    • 2
  • Arnaud Malapert
    • 4
  1. 1.Department of Theoretical Computer Science and Mathematical Logic, Faculty of Mathematics and PhysicsCharles UniversityPragueCzech Republic
  2. 2.Czech Institute of Informatics, Robotics, and CyberneticsCzech Technical University in PraguePragueCzech Republic
  3. 3.Department of Control Engineering, Faculty of Electrical EngineeringCzech Technical University in PraguePragueCzech Republic
  4. 4.Université Côte d’Azur, I3S, CNRSNiceFrance

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