Refinement strategies for piecewise linear functions utilized by reformulation-based techniques for global optimization

Andreas Lundell and Tapio Westerlund,    Center of Excellence in Optimization and Systems Engineering, Åbo Akademi University, Biskopsgatan 8, 20500 Åbo, Finland,


The signomial global optimization algorithm is a method for solving nonconvex mixed-integer signomial problems to global optimality. A convex underestimation is produced by replacing nonconvex signomial terms with convex underestimators obtained through single-variable power and exponential transformations in combination with linearization techniques. The piecewise linear functions used in the linearizations ...

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