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Scheduling a Two Stage Proportionate Flexible Flow Shop with Dedicated Machines and No Buffers

In: Operations Research Proceedings 2021

Author

Listed:
  • Heiner Ackermann

    (Fraunhofer Institute for Industrial Mathematics ITWM)

  • Lena Schwehm

    (Fraunhofer Institute for Industrial Mathematics ITWM)

  • Christian Weiß

    (Fraunhofer Institute for Industrial Mathematics ITWM)

Abstract

In this paper, we study a scheduling problem derived from an application in the chemical processing industry. At the chemical plant we consider, a single base reactor prepares different starting products for several distinct production lines, each consisting of a number of further, specialized reactors. Importantly, there are no buffers, so after completion a job may block a reactor from processing further jobs, if no successor reactor is ready to start it. First, we show how to model the scheduling problem as a special version of the well-known flexible flow shop problem. Then we prove that in the general version of the problem it is strongly NP-hard to minimize the makespan. Towards a solution, we propose and compare several different construction heuristics.

Suggested Citation

  • Heiner Ackermann & Lena Schwehm & Christian Weiß, 2022. "Scheduling a Two Stage Proportionate Flexible Flow Shop with Dedicated Machines and No Buffers," Lecture Notes in Operations Research, in: Norbert Trautmann & Mario Gnägi (ed.), Operations Research Proceedings 2021, pages 353-358, Springer.
  • Handle: RePEc:spr:lnopch:978-3-031-08623-6_52
    DOI: 10.1007/978-3-031-08623-6_52
    as

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