On the part inventory model sequencing problem: complexity and Beam Search heuristic

  • Authors:
  • Malte Fliedner;Nils Boysen;Armin Scholl

  • Affiliations:
  • Lehrstuhl für Operations Management, Friedrich-Schiller-Universität Jena, Jena, Germany 07743;Lehrstuhl für Operations Management, Friedrich-Schiller-Universität Jena, Jena, Germany 07743;Lehrstuhl für Management Science, Friedrich-Schiller-Universität Jena, Jena, Germany 07743

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

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Abstract

In many industries mixed-model assembly systems are increasingly supplied out of third-party consignment stock. This novel trend gives rise to a new short-term sequencing problem which decides on the succession of models launched down the line and aims at minimizing the cost of in-process inventory held by the manufacturer. In this work, we investigate the mathematical structure of this part oriented mixed-model sequencing problem and prove that general instances of the problem are NP-hard in the strong sense. Moreover, we develop a new Beam Search heuristic, which clearly outperforms existing solution procedures.