Treating free variables in generalized geometric global optimization programs

Han-Lin Li*, Jung Fa Tsai

*Corresponding author for this work

Research output: Contribution to journalArticle

19 Scopus citations


Generalized geometric programming (GGP) problems occur frequently in engineering design and management. Recently, some exponential-based decomposition methods [Maranas and Floudas, 1997,Computers and Chemical Engineering 21(4), 351-370; Floudas et al., 1999 , Handbook of Test Problems in Local and Global Optimization, Kluwer Academic Publishers, Boston, pp. 5-105; Floudas, 2000 Deterministic Global Optimizaion: Theory, Methods and Application, Kluwer Academic Publishers, Boston, pp. 257-306] have been developed for GGP problems. These methods can only handle problems with positive variables, and are incapable of solving more general GGP problems. This study proposes a technique for treating free (i.e., positive, zero or negative) variables in GGP problems. Computationally effective convexification rules are also provided for signomial terms with three variables.

Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalJournal of Global Optimization
Issue number1
StatePublished - 1 Sep 2005


  • Generalized geometric programming
  • Global optimization

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