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A New Mathematical Programming Formulation for the Single-Picker Routing Problem in a Single-Block Layout

Author

Listed:
  • Sebastian Henn
  • André Scholz

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Meike Stuhlmann
  • Gerhard Wäscher

    (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

Abstract

The Single-Picker Routing Problem deals with the determination of sequences according to which items have to be picked in a distribution warehouse and the identification of the corresponding paths which have to be travelled by human operators (order pickers). The Single-Picker Routing Problem represents a special case of the classic Traveling Salesman Problem (TSP) and, therefore, can also be modeled as a TSP. However, the picking area of a warehouse typically possesses a block layout, i.e. the items are located in parallel picking aisles, and the order pickers can only change over to another picking aisle at certain positions by means of so-called cross aisles. In this paper, for the first time a mathematical programming formulation is proposed which takes into account this specific property. Based on extensive numerical experiments, it is shown that the proposed formulation is superior to standard TSP formulations.

Suggested Citation

  • Sebastian Henn & André Scholz & Meike Stuhlmann & Gerhard Wäscher, 2015. "A New Mathematical Programming Formulation for the Single-Picker Routing Problem in a Single-Block Layout," FEMM Working Papers 150005, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    • Handle: RePEc:mag:wpaper:150005
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    References listed on IDEAS

    as
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    Keywords

    Order Picking; Picker Routing; Traveling Salesman Problem;
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