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Optimization of a robot-served cart capacity using the three-dimensional single bin packing problem

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Abstract

Given a set of rectangular-shaped items such as dishes, cups, saucers, or forks and a rectangular tray of a cart, the three-dimensional single bin packing problem (3D-BPP) involves orthogonally packing a subset of the items within the tray. If the value of an item is given by its volume, the objective is to maximize the covered volume of the tray. Thus, this paper aims to optimize the transport capacity of a serving robot carrying a cart. This experiment, the first of its type, proves the feasibility of this endeavor efficiently.

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References

  1. ASIMO. http://world.honda.com/ASIMO

  2. Berkey JO, Wang PY (1987) Two dimensional finite bin packing algorithms. J Oper Res Soc 38:423–429

    Article  MATH  Google Scholar 

  3. Chung FKR, Garey MR, Johnson DS (1982) On packing two-dimensional bins. SIAM J Algebr Discret Methods 3:66–76

    Article  MATH  MathSciNet  Google Scholar 

  4. Kuffner JJ (2010) Cloud-enabled robots. In: IEEE-RAS international conference on humanoid robots. Nashville

  5. Martello S, Vigo D (1998) Exact solution of the two-dimensional finite bin packing problem. Manag Sci 44:388

    Article  MATH  Google Scholar 

  6. Martello S, Pisinger D, Vigo D (2000) The three-dimensional bin packing problem. Oper Res 48:256–267

    Article  MATH  MathSciNet  Google Scholar 

  7. PR2 Cleans Up with a Cart. http://www.willowgarage.com/pages/pr2/overview

  8. The 2012 PR2 Workshop in Freiburg. http://www.youtube.com/watch?v=kvahil80ayw

  9. 400 year old tea-serving robot kit. http://www.boingboing.net/2005/10/29/400-year-old-teaserv.html

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Acknowledgments

This research was supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2013-S1A5A8020988).

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Correspondence to Kang-Hee Lee.

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Khil, AR., Lee, KH. Optimization of a robot-served cart capacity using the three-dimensional single bin packing problem. Multimed Tools Appl 74, 185–198 (2015). https://doi.org/10.1007/s11042-013-1843-8

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  • DOI: https://doi.org/10.1007/s11042-013-1843-8

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