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Improved lower bounds for the online bin stretching problem

Michaël Gabay (), Nadia Brauner () and Vladimir Kotov ()
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Michaël Gabay: Univ. Grenoble Alpes, CNRS, G-SCOP
Nadia Brauner: Univ. Grenoble Alpes, CNRS, G-SCOP
Vladimir Kotov: Belarusian State University

4OR, 2017, vol. 15, issue 2, 183-199

Abstract: Abstract We use game theory techniques to automatically compute improved lower bounds on the competitive ratio for the bin stretching problem. Using these techniques, we improve the best lower bound for this problem to 19/14. We explain the technique and show that it can be generalized to compute lower bounds for any online or semi-online packing or scheduling problem.

Keywords: Bin stretching; Scheduling; Online algorithms; Lower bounds; 90B35; 68W27; 05B40 (search for similar items in EconPapers)
Date: 2017
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