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Generalizing 0-1 conflict hypergraphs and mixed conflict graphs: mixed conflict hypergraphs in discrete optimization

Author

Listed:
  • Andriy Shapoval

    (Georgia Institute of Technology
    Georgia Institute of Technology)

  • Eva K. Lee

    (Georgia Institute of Technology)

Abstract

This work starts a new level of research in the area of conflict graphs and hypergraphs. We introduce a new term “mixed conflict hypergraphs”, which comes from merging and generalizing 0-1 conflict hypergraphs and mixed conflict graphs. Two structured mixed integer problems (referred to as convexification of posynomial and signomial functions, CoPF and CoSF, respectively) are solved efficiently with applying new strong cutting planes, outperforming modern commercial software.

Suggested Citation

  • Andriy Shapoval & Eva K. Lee, 2021. "Generalizing 0-1 conflict hypergraphs and mixed conflict graphs: mixed conflict hypergraphs in discrete optimization," Journal of Global Optimization, Springer, vol. 80(4), pages 805-840, August.
    • Handle: RePEc:spr:jglopt:v:80:y:2021:i:4:d:10.1007_s10898-021-01012-3
    DOI: 10.1007/s10898-021-01012-3
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    References listed on IDEAS

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    2. Harlan Crowder & Ellis L. Johnson & Manfred Padberg, 1983. "Solving Large-Scale Zero-One Linear Programming Problems," Operations Research, INFORMS, vol. 31(5), pages 803-834, October.
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