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Finding All Solutions for a Class of Parametric Quadratic Integer Programming Problems

R. D. McBride, J. S. Yormark

Management Science · 1980 · Volume 26 · Issue 8

DOI: 10.1287/mnsc.26.8.784

Abstract

We describe a practical procedure for finding all solutions to a parametric family of nonseparable quadratic integer programs that differ in their resource availabilities. We outline a new method for optimizing these quadratic integer programs, and demonstrate how to solve a sequence of such problems parametrized against the right-hand-side of a single constraint. Several methods for accelerating the basic procedure are presented, and computational experience is provided.

Keywords

parametric quadratic integer programming

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