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Generalized Geometric Programming : Theory

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Deterministic Global Optimization

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 37))

Abstract

In this chapter, we discuss the theoretical and algorithmic issues in global optimization approaches for generalized geometric programming problems. This material is based on the work of Maranas and Floudas (1997). Section 8.1 provides an introduction to generalized geometric programming. Section 8.2 focuses on the theoretical analysis for the development of a global optimization approach. Section 8.3 presents the global optimization algorithm and its proof of convergence to an e-global optimum solution. Finally, section 8.4 presents an illustrative example.

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© 2000 Springer Science+Business Media Dordrecht

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Floudas, C.A. (2000). Generalized Geometric Programming : Theory. In: Deterministic Global Optimization. Nonconvex Optimization and Its Applications, vol 37. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4949-6_8

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  • DOI: https://doi.org/10.1007/978-1-4757-4949-6_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4820-5

  • Online ISBN: 978-1-4757-4949-6

  • eBook Packages: Springer Book Archive

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