Dadush Lab

Netherlands Foundation of Scientific Research Institutes

West-Nederland (NL3) · Netherlands

ERC-funded
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ERC Starting Grant · 2018

Towards a Quantitative Theory of Integer Programming

Integer programming (IP), i.e. linear optimization with integrality constraints on variables, is one of the most successful methods for solving large scale optimization problems in practice. While many of the base IP problems such as the traveling salesman problem (TSP) or satisfiability (SAT) are NP-Complete, IPs with tens of thousands of variables are routinely solved in just a few hours by current state of the art IP solvers. The main goal of this proposal is to develop a quantitative theory capable of explaining when and how well different IP solver techniques will work on a wide range of instances. Here we will study many of the principal tools used to solve IPs including branch &…

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