On generalized geometric programming problems with non-positive variables

@article{Tsai2007OnGG,
  title={On generalized geometric programming problems with non-positive variables},
  author={Jung-Fa Tsai and Ming-Hua Lin and Yi-Chung Hu},
  journal={European Journal of Operational Research},
  year={2007},
  volume={178},
  pages={10-19}
}
Generalized geometric programming (GGP) problems occur frequently in engineering design and management. Some exponential-based decomposition methods have been developed for solving global optimization of GGP problems. However, the use of logarithmic/exponential transformations restricts these methods to handle the problems with strictly positive variables. This paper proposes a technique for treating non-positive variables with integer powers in GGP problems. By means of variable transformation… CONTINUE READING
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A class of transformations convexifying and underestimating negative signomial terms

  • T. Westerlund, K.-M. Björk
  • Report 02-182- A, Process Design Laboratory at…
  • 2002
Highly Influential
8 Excerpts

A class of transformations convexifying and underestimating positive signomial terms

  • T. Westerlund, K.-M. Björk
  • Report 02-183-A, Process Design Laboratory at Abo…
  • 2002
Highly Influential
8 Excerpts

Investigation of path-following algorithms for signomial geometric programming problems

  • H. H. Yang, D. L. Bricker
  • European Journal of Operational Research 103 (1)
  • 1997
Highly Influential
1 Excerpt

Deterministic Global Optimization: Theory

  • C. A. Floudas
  • Methods and Application, Kluwer Academic…
  • 2000
3 Excerpts

Convexification of different classes of non-convex MINLP problems

  • R. Pörn, I. Harjunkoski, I. T. Westerlund
  • Computers and Chemical Engineering 23
  • 1999
2 Excerpts

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