Convex Discrete Optimization

@inproceedings{Onn2007ConvexDO,
  title={Convex Discrete Optimization},
  author={Shmuel Onn},
  booktitle={Encyclopedia of Optimization},
  year={2007}
}
  • S. Onn
  • Published in Encyclopedia of Optimization 1 March 2007
  • Computer Science, Mathematics
We develop an algorithmic theory of convex optimization over discrete sets. Using a combination of algebraic and geometric tools we are able to provide polynomial time algorithms for solving broad classes of convex combinatorial optimization problems and convex integer programming problems in variable dimension. We discuss some of the many applications of this theory including to quadratic programming, matroids, bin packing and cutting-stock problems, vector partitioning and clustering… 
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20 Citations
Background Citations
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20 Citations

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This is a survey on the computational complexity of nonlinear mixedinteger optimization. It highlights a selection of important topics, ranging from incomputability results that arise from number…

On the complexity of nonlinear mixed-integer optimization

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