Misener, Ruth; Floudas, Christodoulos A. Global optimization of mixed-integer models with quadratic and signomial functions: a review. (English) Zbl 1292.90239 Appl. Comput. Math. 11, No. 3, 317-336 (2012). Summary: Mixed-integer quadratically-constrained quadratic programs (MIQCQP) and mixed-integer signomial optimization problems (MISO) are two important classes of mixed-integer nonconvex programs (nonconvex MINLP). This review discusses the practical applications of MIQCQP and MISO, and covers algorithms designed to globally optimize them. We also describe numerical optimization software designed to solve these classes of problems. Cited in 5 Documents MSC: 90C26 Nonconvex programming, global optimization 90C11 Mixed integer programming 90C20 Quadratic programming 90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut 65K05 Numerical mathematical programming methods Keywords:mixed-integer quadratically-constrained quadratic programs; mixed-integer signomial optimization problems; global optimization Software:GloMIQO; GloptiPoly; MINLPLib; SCIP; SeDuMi; GLOPTLAB; APOGEE; RealPaver; AMPL; cGOP; LINDO PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, Appl. Comput. Math. 11, No. 3, 317--336 (2012; Zbl 1292.90239) Full Text: Link