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arXiv · 1301.4958

Improved algorithms and analysis for the laminar matroid secretary problem

David Harris·Manish Purohit
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Abstract

In a matroid secretary problem, one is presented with a sequence of objects of various weights in a random order, and must choose irrevocably to accept or reject each item. There is a further constraint that the set of items selected must form an independent set of an associated matroid. Constant-competitive algorithms (algorithms whose expected solution weight is within a constant factor of the optimal) are known for many types of matroid secretary problems. We examine the laminar matroid and show an algorithm achieving provably 0.053 competitive ratio.

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David Harris, Manish Purohit. 2013-01-21. Improved algorithms and analysis for the laminar matroid secretary problem. https://arxiv.org/abs/1301.4958

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