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Repacking helps in bounded space on-line bind-packing

Beim Bounded Space On-line Bin-Packing kann Umpacken von Vorteil sein

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Abstract

We consider a version of the on-line bounded-space bin-packing problem where repacking the items within the active bins is allowed. For this problem, the 1.69103 lower bound of Lee and Lee [7] for the worst case ratios of bounded-space approximation algorithms still applies. We present a polynomial time approximation algorithm that reaches the best possible worst case ratio matching the Lee and Lee lower bound while using onlythree active bins.

Zusammenfassung

Wir behandeln eine Variante des On-Line Bound-Space Bin-Packings, in der das Umpacken der Gegenstände innerhalb der aktiven Bins erlaubt ist. Auch für diese Variante gilt die untere Schranke 1.69103, die Lee und Lee [7] für Worst Case Ratios von Bounded-Space Approximations-Algorithmen bewiesen haben. Wir konstruieren einen bestmöglichen polynomialen Approximations-Algorithmus, der die Schranke von Lee und Lee erreicht und dazu nurdrei aktive Bins verwendet.

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Authors and Affiliations

  1. Department of Applied Computer Sciences, József Attila University, Árpád tér 2, H-6720, Szeged, Hungary

    G. Galambos

  2. Institut für Mathematik B, TU Graz, Kopernikusgasse 24, A-8010, Graz, Austria

    G. J. Woeginger

Authors
  1. G. Galambos
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  2. G. J. Woeginger
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Additional information

This paper was supported by a grant from the Hungarian Academy of Sciences (OTKA Nr. 2037).

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Galambos, G., Woeginger, G.J. Repacking helps in bounded space on-line bind-packing. Computing 49, 329–338 (1993). https://doi.org/10.1007/BF02248693

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  • DOI: https://doi.org/10.1007/BF02248693

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