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Algorithms for Controlling Palletizers

In: Operations Research Proceedings 2014

Author

Listed:
  • Frank Gurski

    (University of Düsseldorf)

  • Jochen Rethmann

    (Niederrhein University of Applied Sciences)

  • Egon Wanke

    (University of Düsseldorf)

Abstract

Palletizers are widely used in delivery industry. We consider a large palletizer where each stacker crane grabs a bin from one of k conveyors and position it onto a pallet located at one of p stack-up places. All bins have the same size. Each pallet is destined for one customer. A completely stacked pallet will be removed automatically and a new empty pallet is placed at the palletizer. The FIFO Stack-Up problem is to decide whether the bins can be palletized by using at most p stack-up places. We introduce a digraph and a linear programming model for the problem. Since the FIFO Stack-Up problem is computational intractable and is defined on inputs of various informations, we study the parameterized complexity. Based on our models we give xp-algorithms and fpt-algorithms for various parameters, and approximation results for the problem.

Suggested Citation

  • Frank Gurski & Jochen Rethmann & Egon Wanke, 2016. "Algorithms for Controlling Palletizers," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 197-203, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_28
    DOI: 10.1007/978-3-319-28697-6_28
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