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On-line bin-packing problem: maximizing the number of unused bins

Author

Listed:
  • Bernard Kouakou

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Marc Demange

    (ESSEC Business School)

  • Eric Soutif

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CEDRIC - Centre d'études et de recherche en informatique et communications - ENSIIE - Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise - CNAM - Conservatoire National des Arts et Métiers [CNAM] - HESAM - HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université)

Abstract

In this paper, we study the on-line version of the bin-packing problem. We analyze the approximation behavior of an on-line bin-packing algorithm under an approximation criterion called differential ratio. We are interested in two types of results: the differential competitivity ratio guaranteed by the on-line algorithm and hardness results that account for the difficulty of the problem and for the quality of the algorithm developed to solve it. In its off-line version, the bin-packing problem, BP, is better approximated in differential framework than in standard one. Our objective is to determine if or not such result exists for the on-line version of BP.

Suggested Citation

  • Bernard Kouakou & Marc Demange & Eric Soutif, 2005. "On-line bin-packing problem: maximizing the number of unused bins," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00115660, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00115660
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00115660
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