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A polynomial-time dynamic programming algorithm for an optimal picking problem in automated warehouses

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Listed:
  • Michele Barbato

    (Università degli Studi di Milano)

  • Alberto Ceselli

    (Università degli Studi di Milano)

  • Giovanni Righini

    (Università degli Studi di Milano)

Abstract

We consider an optimization problem arising when a set of items must be selected and picked up from given locations in an automated storage and retrieval system by a crane of given capacity, minimizing the overall distance traveled. The problem has been classified as open in a recent taxonomy of optimal picking problems in automated warehouses. In this paper, we analyze some non-trivial properties of the problem and we describe a polynomial-time dynamic programming algorithm to solve it to proven optimality.

Suggested Citation

  • Michele Barbato & Alberto Ceselli & Giovanni Righini, 2024. "A polynomial-time dynamic programming algorithm for an optimal picking problem in automated warehouses," Journal of Scheduling, Springer, vol. 27(4), pages 393-407, August.
    • Handle: RePEc:spr:jsched:v:27:y:2024:i:4:d:10.1007_s10951-024-00811-2
    DOI: 10.1007/s10951-024-00811-2
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    References listed on IDEAS

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    1. Weidinger, Felix & Boysen, Nils & Schneider, Michael, 2019. "Picker routing in the mixed-shelves warehouses of e-commerce retailers," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126182, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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