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The decomposition-based outer approximation algorithm for convex mixed-integer nonlinear programming

The decomposition-based outer approximation algorithm for convex mixed-integer nonlinear programming

Abstract This paper presents a new two-phase method for solving convex mixed-integer nonlinear programming (MINLP) problems, called Decomposition-based Outer Approximation Algorithm (DECOA). In the first phase, a sequence of linear integer relaxed sub-problems (LP phase) is solved in order to rapidly generate a good linear relaxation of the original MINLP …