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Generating Convex Polynomial Inequalities for Mixed 0–1 Programs
Authors:Robert A. Stubbs  Sanjay Mehrotra
Affiliation:(1) Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL 60208-3119, USA
Abstract:We develop a method for generating valid convex quadratic inequalities for mixed0–1 convex programs. We also show how these inequalities can be generated in the linear case by defining cut generation problems using a projection cone. The basic results for quadratic inequalities are extended to generate convex polynomial inequalities.
Keywords:Mixed integer programming  Convex programming  Semidefinite programming  Mixed integer nonlinear programming  Mixed integer convex programming
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