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Solving the multiple level warehouse layout problem using ant colony optimization

Author

Listed:
  • Jean-Paul Arnaout

    (Gulf University for Science and Technology)

  • Caline ElKhoury

    (Lebanese American University)

  • Gamze Karayaz

    (Işik University)

Abstract

This paper addresses the multiple level warehouse layout problem, which involves assigning items to cells and levels with the objective of minimizing transportation costs. A monthly demand and an inventory requirement are associated with every item type along with vertical and horizontal unit transportation costs. The warehouse has one port to transport items vertically from ground floor to the other levels, where each item must be assigned to exactly one cell on the assigned level. An ant colony optimization (ACO) algorithm is adapted to this NP-complete problem and its performance is evaluated by comparing its solutions to the ones obtained using genetic algorithms (GA) as well as the optimal solutions for small problems. The computational results reflected the superiority of ACO in large-size problem instances, with a marginally better performance than GA in smaller ones, while solving the tested instances within a reasonable computational time. Furthermore, ACO was able to attain most of the known optimal solutions for small-size problem instances.

Suggested Citation

  • Jean-Paul Arnaout & Caline ElKhoury & Gamze Karayaz, 2020. "Solving the multiple level warehouse layout problem using ant colony optimization," Operational Research, Springer, vol. 20(1), pages 473-490, March.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:1:d:10.1007_s12351-017-0334-5
    DOI: 10.1007/s12351-017-0334-5
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    References listed on IDEAS

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    1. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2015. "Multi-level facility location as the maximization of a submodular set function," European Journal of Operational Research, Elsevier, vol. 247(3), pages 1013-1016.
    2. Gordon C. Armour & Elwood S. Buffa, 1963. "A Heuristic Algorithm and Simulation Approach to Relative Location of Facilities," Management Science, INFORMS, vol. 9(2), pages 294-309, January.
    3. Yavuz A. Bozer & Russell D. Meller & Steven J. Erlebacher, 1994. "An Improvement-Type Layout Algorithm for Single and Multiple-Floor Facilities," Management Science, INFORMS, vol. 40(7), pages 918-932, July.
    4. Michael Scriabin & Roger C. Vergin, 1975. "Comparison of Computer Algorithms and Visual Based Methods for Plant Layout," Management Science, INFORMS, vol. 22(2), pages 172-181, October.
    5. Roger V. Johnson, 1982. "Spacecraft for Multi-Floor Layout Planning," Management Science, INFORMS, vol. 28(4), pages 407-417, April.
    6. Lai, K. K. & Xue, Jue & Zhang, Guoqing, 2002. "Layout design for a paper reel warehouse: A two-stage heuristic approach," International Journal of Production Economics, Elsevier, vol. 75(3), pages 231-243, February.
    7. T. E. Block, 1977. "Note--A Note on "Comparison of Computer Algorithms and Visual Based Methods for Plant Layout" by M. Scriabin and R. C. Vergin," Management Science, INFORMS, vol. 24(2), pages 235-237, October.
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    Cited by:

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