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, andreas.lundell@abo.fitapio.westerlund@abo.fi

Abstract

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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