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Approximation algorithms for the twin robot scheduling problem

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  • Florian Jaehn

    (Helmut-Schmidt-University)

  • Andreas Wiehl

Abstract

We consider the $$\mathscr {NP}$$NP-hard twin robot scheduling problem, which was introduced by Erdoğan et al. (Naval Res Logist (NRL) 61(2):119–130, 2014). Here, two moving robots positioned at the opposite ends of a rail have to perform automated storage and retrieval jobs at given positions along the gantry rail with a non-crossing constraint. The objective is to minimize the makespan. We extend the original problem by considering pickup and delivery times and present exact and approximation algorithms with a performance ratio of $$\approx \,1.1716$$≈1.1716 for large instances. Further, we compare the presented algorithms in a comprehensive numerical study.

Suggested Citation

  • Florian Jaehn & Andreas Wiehl, 2020. "Approximation algorithms for the twin robot scheduling problem," Journal of Scheduling, Springer, vol. 23(1), pages 117-133, February.
    • Handle: RePEc:spr:jsched:v:23:y:2020:i:1:d:10.1007_s10951-019-00631-9
    DOI: 10.1007/s10951-019-00631-9
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    References listed on IDEAS

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    1. Kress, Dominik & Dornseifer, Jan & Jaehn, Florian, 2019. "An exact solution approach for scheduling cooperative gantry cranes," European Journal of Operational Research, Elsevier, vol. 273(1), pages 82-101.
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    8. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
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