Journal
JOURNAL OF GLOBAL OPTIMIZATION
Volume 43, Issue 2-3, Pages 391-405Publisher
SPRINGER
DOI: 10.1007/s10898-007-9223-4
Keywords
Transformation and convexification techniques; Signomial functions; Global optimization; Mixed integer non-linear programming
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In this paper some transformation techniques, based on power transformations, are discussed. The techniques can be applied to solve optimization problems including signomial functions to global optimality. Signomial terms can always be convexified and underestimated using power transformations on the individual variables in the terms. However, often not all variables need to be transformed. A method for minimizing the number of original variables involved in the transformations is, therefore, presented. In order to illustrate how the given method can be integrated into the transformation framework, some mixed integer optimization problems including signomial functions are finally solved to global optimality using the given techniques.
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