On-line bin packing with restricted repacking

János Balogh (), József Békési (), Gábor Galambos () and Gerhard Reinelt ()
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János Balogh: University of Szeged
József Békési: University of Szeged
Gábor Galambos: University of Szeged
Gerhard Reinelt: University of Heidelberg

Journal of Combinatorial Optimization, 2014, vol. 27, issue 1, No 10, 115-131

Abstract: Abstract Semi-on-line algorithms for the bin-packing problem allow, in contrast to pure on-line algorithms, the use of certain types of additional operations for each step. Examples include repacking, reordering or lookahead before packing the items. Here we define and analyze a semi-on-line algorithm where for each step at most k items can be repacked, for some positive integer k. We prove that the upper bound for the asymptotic competitive ratio of the algorithm is a decreasing function of k, which tends to 3/2 as k goes to infinity. We also establish lower bounds for this ratio and show that the gap between upper and lower bounds is relatively small.

Keywords: Bin-packing; Semi-on-line algorithm; Worst-case behavior; Competitive analysis (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10878-012-9489-4

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