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A tutorial on the use of graph coloring for some problems in robotics

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  • Demange, Marc
  • Ekim, TInaz
  • de Werra, Dominique

Abstract

We study the problem where a robot has to pick up items of different sizes which are stored along a corridor. A natural requirement is that the items have to be collected in decreasing order of their sizes. We deal with various systems according to the location of the Entry/Exit station where the robot unloads the collected items after each trip along the corridor. The links of these systems with generalized coloring problems and other applications such that train shunting and pallet loading problems are discussed and related results are obtained. We conclude with several open questions on the topic.

Suggested Citation

  • Demange, Marc & Ekim, TInaz & de Werra, Dominique, 2009. "A tutorial on the use of graph coloring for some problems in robotics," European Journal of Operational Research, Elsevier, vol. 192(1), pages 41-55, January.
    • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:41-55
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    References listed on IDEAS

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    1. T. Ekim & D. Werra, 2005. "On Split-Coloring Problems," Journal of Combinatorial Optimization, Springer, vol. 10(3), pages 211-225, November.
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    Cited by:

    1. Demange, Marc & Ekim, Tınaz & Ries, Bernard & Tanasescu, Cerasela, 2015. "On some applications of the selective graph coloring problem," European Journal of Operational Research, Elsevier, vol. 240(2), pages 307-314.
    2. Ram Gopalan, 2015. "Computational complexity of convoy movement planning problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(1), pages 31-60, August.
    3. Boysen, Nils & Emde, Simon, 2016. "The parallel stack loading problem to minimize blockages," European Journal of Operational Research, Elsevier, vol. 249(2), pages 618-627.
    4. Chung, Yerim & Culus, Jean-François & Demange, Marc, 2015. "Inverse chromatic number problems in interval and permutation graphs," European Journal of Operational Research, Elsevier, vol. 243(3), pages 763-773.

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