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math.OC2017
A mixed-integer branching approach for very small formulations of disjunctive constraints
Joey Huchette, Juan Pablo Vielma
An important problem in optimization is the construction of mixed-integer programming (MIP) formulations of disjunctive constraints that are both strong and small. Motivated by low…
math.OC2017★ 15 cited
Nonconvex piecewise linear functions: Advanced formulations and simple modeling tools
Joey Huchette, Juan Pablo Vielma
We present novel mixed-integer programming (MIP) formulations for optimization over nonconvex piecewise linear functions. We exploit recent advances in the systematic construction…