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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.
    2. Briskorn, Dirk & Emde, Simon & Boysen, Nils, 2016. "Cooperative twin-crane scheduling," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 109733, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Ehleiter, Anne & Jaehn, Florian, 2016. "Housekeeping: Foresightful container repositioning," International Journal of Production Economics, Elsevier, vol. 179(C), pages 203-211.
    4. Güneş Erdoğan & Maria Battarra & Gilbert Laporte, 2014. "Scheduling twin robots on a line," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(2), pages 119-130, March.
    5. Briskorn, Dirk & Emde, Simon & Boysen, Nils, 2016. "Cooperative twin-crane scheduling," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 80780, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. Boysen, Nils & Briskorn, Dirk & Meisel, Frank, 2017. "A generalized classification scheme for crane scheduling with interference," European Journal of Operational Research, Elsevier, vol. 258(1), pages 343-357.
    7. Nils Boysen & Dirk Briskorn & Simon Emde, 2015. "A decomposition heuristic for the twin robots scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 16-22, February.
    8. Kap Hwan Kim & Ki Young Kim, 1999. "An Optimal Routing Algorithm for a Transfer Crane in Port Container Terminals," Transportation Science, INFORMS, vol. 33(1), pages 17-33, February.
    9. 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.
    10. Dirk Briskorn & Florian Jaehn & Andreas Wiehl, 2019. "A generator for test instances of scheduling problems concerning cranes in transshipment terminals," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 45-69, March.
    11. Roodbergen, Kees Jan & Vis, Iris F.A., 2009. "A survey of literature on automated storage and retrieval systems," European Journal of Operational Research, Elsevier, vol. 194(2), pages 343-362, April.
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