A two-phase algorithm for bin stretching with stretching factor 1.5

Martin Böhm (), Jiří Sgall (), Rob Stee () and Pavel Veselý ()
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Martin Böhm: Computer Science Institute of Charles University
Jiří Sgall: Computer Science Institute of Charles University
Rob Stee: University of Leicester
Pavel Veselý: Computer Science Institute of Charles University

Journal of Combinatorial Optimization, 2017, vol. 34, issue 3, No 12, 810-828

Abstract: Abstract Online Bin Stretching is a semi-online variant of bin packing in which the algorithm has to use the same number of bins as an optimal packing, but is allowed to slightly overpack the bins. The goal is to minimize the amount of overpacking, i.e., the maximum size packed into any bin.We give an algorithm for Online Bin Stretching with a stretching factor of 1.5 for any number of bins. We build on previous algorithms and use a two-phase approach. However, our analysis is technically more complicated and uses amortization over the bins with the help of two weight functions.

Keywords: Online algorithms; Bin packing; Scheduling (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10878-017-0114-4

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