Improved lower bounds for the online bin stretching problem

Improved lower bounds for the online bin stretching problem

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Article ID: iaor20171830
Volume: 15
Issue: 2
Start Page Number: 183
End Page Number: 199
Publication Date: Jun 2017
Journal: 4OR
Authors:
Keywords: game theory, scheduling, heuristics
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.

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