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arXiv · 1707.04020

Stochastic Packing Integer Programs with Few Queries

Takanori Maehara·Yutaro Yamaguchi
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Abstract

We consider a stochastic variant of the packing-type integer linear programming problem, which contains random variables in the objective vector. We are allowed to reveal each entry of the objective vector by conducting a query, and the task is to find a good solution by conducting a small number of queries. We propose a general framework of adaptive and non-adaptive algorithms for this problem, and provide a unified methodology for analyzing the performance of those algorithms. We also demonstrate our framework by applying it to a variety of stochastic combinatorial optimization problems such as matching, matroid, and stable set problems.

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BibTeXRIS

Takanori Maehara, Yutaro Yamaguchi. 2017-07-13. Stochastic Packing Integer Programs with Few Queries. https://arxiv.org/abs/1707.04020

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