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A special ordered set approach for optimizing a discontinuous separable piecewise linear function
Authors:I.R. de Farias Jr.  M. Zhao  H. Zhao
Affiliation:Department of Industrial and Systems Engineering, State University of New York, University at Buffalo, 403 Bell Hall, Buffalo, NY 14260, USA
Abstract:We give a special ordered set (SOS) approach that optimizes a discontinuous separable piecewise linear function, even when a mixed-integer programming (MIP) model is not available for it. When a MIP model is available, our SOS model gives a linear programming relaxation bound that is as good as the MIPs.
Keywords:Piecewise linear optimization   Special ordered set
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