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Competitive analysis of on-line stack-up algorithms

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Algorithms — ESA '97 (ESA 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1284))

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Abstract

Let q = (b 1,...,b n) be a sequence of bins. Each bin is destined for some pallet t. For two given integers s and p, the stack-up problem is to move step by step all bins from q onto their pallets such that the position of the bin moved from q is always not greater than s and after each step there are at most p pallets for which the first bin is already stacked up but the last bin is still missing. If a bin b is moved from q then all bins to the right of b are shifted one position to the left. We determine the performance of four simple on-line algorithms called First-In, First-Done, Most-Frequently, and Greedy with respect to an optimal off-line solution for the stack-up problem.

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Rainer Burkard Gerhard Woeginger

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© 1997 Springer-Verlag Berlin Heidelberg

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Rethmann, J., Wanke, E. (1997). Competitive analysis of on-line stack-up algorithms. In: Burkard, R., Woeginger, G. (eds) Algorithms — ESA '97. ESA 1997. Lecture Notes in Computer Science, vol 1284. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63397-9_31

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  • DOI: https://doi.org/10.1007/3-540-63397-9_31

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63397-6

  • Online ISBN: 978-3-540-69536-3

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