A Comparison of Mixed-Integer Programming Models for Non-Convex Piecewise Linear Cost Minimization Problems

We study a generic minimization problem with separable non-convex piecewise linear costs, showing that the linear programming (LP) relaxation of three textbook mixed integer programming formulations each approximates the cost function by its lower convex envelope. We also show a relationship between...

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Bibliographic Details
Main Authors: Croxton, Keely L., Gendon, Bernard, Magnanti, Thomas L.
Format: Working Paper
Language:en_US
Published: Massachusetts Institute of Technology, Operations Research Center 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/5233