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The Master Equality Polyhedron: Two-Slope Facets and Separation Algorithm

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Wang_Xiaojing.pdf (565.34 KB)

Date

2015-08-11

Authors

Wang, Xiaojing

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University of Waterloo

Abstract

This thesis presents our findings about the Master Equality Polyhedron (MEP), an extension of Gomory's Master Group Polyhedron. We prove a theorem analogous to Gomory and Johnson's two-slope theorem for the case of the MEP. We then show how such a theorem can lead to facet defining inequalities for MEPs or extreme inequalities for an extension of the infinite group model. We finally study certain coefficient-restricted inequalities for the MEP and how to separate them.

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Keywords

Master Polyhedron, two-slope, cutting plane, separation algorithm

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http://hdl.handle.net/10012/9511

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Theses
Combinatorics and Optimization