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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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Integer programming (IP) can be used to model a variety of industrial problems. One of the most successful ways of solving IPs has been the use of branch-and-cut algorithms, which combine a branch-and-bound framework with the use of cutting planes. This dissertation considers measures of cutting planes with the aim of predicting and understanding their usefulness in branch-and-cut. Measures considered include the volume of the facet, the shooting experiment size of the facet, the best-case improvement that the facet provides, and the Chv'atal-Gomory rank of the facet.