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We present novel mixed-integer programming (MIP) formulations for optimization over nonconvex piecewise linear functions.
Logic-based outer approximation for globally optimal synthesis of process networks
Bergamini, M. L., P. Aguirre, I. Grossmann. 2005 · 1933
Earlier work this paper cites.
On the solution of discrete programming problems
Markowitz, H. M., A. S. Manne. 1957 · 1957
Earlier work this paper cites.
On the significance of solving linear programming problems with some integer variables
Dantzig, G. B. 1960 · 1960
Earlier work this paper cites.
Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables
Beale, E. M. L., J. A. Tomlin. 1970 · 1970
Earlier work this paper cites.
Union Jack triangulations
Todd, M. J. 1977 · 1977
Earlier work this paper cites.
Computers and Intractability
Garey, M. R., D. S. Johnson. 1979 · 1979
Earlier work this paper cites.
A suggested extension of special ordered sets to non-separable non-convex programming problems
Tomlin, J. 1981 · 1981
Earlier work this paper cites.
Modelling with integer variables
Jeroslow, R., J. Lowe. 1984 · 1984
Earlier work this paper cites.
Experimental results on the new techniques for integer programming formulations
Jeroslow, R. G., J. K. Lowe. 1985 · 1985
Earlier work this paper cites.
Alternative formulations of mixed integer programs
Jeroslow, R. G. 1988 · 1988
Earlier work this paper cites.
A composite algorithm for a concave-cost network flow problem
Balakrishnan, A., S. C. Graves. 1989 · 1989
Earlier work this paper cites.
AMPL: a mathematical programming language
Fourer, R., D. M. Gay, B. Kernighan. 1989 · 1989
Earlier work this paper cites.
Simulation of hybrid circuits in constraint logic programming
Graf, T., P. V. Hentenryck, C. Pradelles-Lasserre, L. Zimmer. 1990 · 1990
Earlier work this paper cites.
A survey of combinatorial Gray codes
Savage, C. 1997 · 1997
Earlier work this paper cites.
Polyhedral methods for piecewise-linear functions
Wilson, D. L. 1998 · 1998
Earlier work this paper cites.
Approximating separable nonlinear functions via mixed zero-one programs
Padberg, M. 2000 · 2000
Earlier work this paper cites.
Polyhedral methods for piecewise-linear functions I: the lambda method
Lee, J., D. Wilson. 2001 · 2001
Earlier work this paper cites.
Global optimization of nonconvex factorable programming problems
Sherali, H. D., H. Wang. 2001 · 2001
Earlier work this paper cites.
A comparison of mixed-integer programming models for nonconvex piecewise linear cost minimization problems
Croxton, K. L., B. Gendron, T. L. Magnanti. 2003 · 2003
Earlier work this paper cites.
Models for representing piecewise linear cost functions
Keha, A. B., I. R. de Farias Jr., G. L. Nemhauser. 2004 · 2004
Earlier work this paper cites.
Separable concave optimization approximately equals piecewise linear optimization
Magnanti, T. L., D. Stratila. 2004 · 2004
Earlier work this paper cites.
Parsimonious binary-encoding in integer programming
Coppersmith, D., J. Lee. 2005 · 2005
Cited alongside, same era.
Conjoint optimization: An exact branch-and-bound algorithm for the share-of-choice problem
Camm, J. D., J. J. Cochran, D. J. C. an Sriram Kannan. 2006 · 2006
Cited alongside, same era.
A branch-and-cut algorithm without binary variables for nonconvex piecewise linear optimization
Keha, A. B., I. R. de Farias Jr., G. L. Nemhauser. 2006 · 2006
Cited alongside, same era.
Mixed integer models for the stationary case of gas network optimization
Martin, A., M. Möller, S. Moritz. 2006 · 2006
Cited alongside, same era.
Progress in computational mixed integer programming—A look back from the other side of the tipping point
Bixby, R., E. Rothberg. 2007 · 2007
Cited alongside, same era.
Variable disaggregation in network flow problems with piecewise linear costs
Polyhedral approximations of quadratic semi-assignment problems, disjunctive programs, and base-2 expansions of integer variables
Muldoon, F. 2012 · 2012
Later among the works it cites.
A computational analysis of convex combination models for multidimensional piecewise-linear approximation in oil production optimization
Silva, T. L., A. Codas, E. Camponogara. 2012 · 2012
Later among the works it cites.
Comparison of global optimization algorithms for the design of water-using networks
Castro, P. M., J. P. Teles. 2013 · 2013
Later among the works it cites.
Branch-and-cut for separable piecewise linear optimization and intersection with semi-continuous constraints
de Farias Jr., I. R., E. Kozyreff, R. Gupta, M. Zhao. 2013 · 2013
Later among the works it cites.
Global optimization of bilinear programs with a multiparametric disaggregation technique
Kolodziej, S., P. M. Castro, I. E. Grossmann. 2013 · 2013
Later among the works it cites.
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Croxton, K. L., B. Gendron, T. L. Magnanti. 2007 · 2007
Cited alongside, same era.
An improved piecewise outer-approximation algorithm for the global optimization of MINLP models involving concave and bilinear terms
Bergamini, M. L., I. Grossmann, N. Scenna, P. Aguirre. 2008 · 2008
Cited alongside, same era.
A special ordered set approach for optimizing a discontinuous separable piecewise linear function
de Farias Jr., I., M. Zhao, H. Zhao. 2008 · 2008
Cited alongside, same era.
50 years of integer programming 1958-2008
Jünger, M., T. Liebling, D. Naddef, G. Nemhauser, W. Pulleyblank, G. Reinelt, G. Rinaldi, L. Wolsey. 2010 · 2008
Cited alongside, same era.
Global optimization of gas lifting operations: A comparative study of piecewise linear formulations
Misener, R., C. E. Gounaris, C. A. Floudas. 2009 · 2009
Cited alongside, same era.
A branch-and-price approach to the share-of-choice product line design problem
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