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Convex relaxation for solving posynomial programs

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  • Hao-Chun Lu
  • Han-Lin Li
  • Chrysanthos Gounaris
  • Christodoulos Floudas

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  • Hao-Chun Lu & Han-Lin Li & Chrysanthos Gounaris & Christodoulos Floudas, 2010. "Convex relaxation for solving posynomial programs," Journal of Global Optimization, Springer, vol. 46(1), pages 147-154, January.
    • Handle: RePEc:spr:jglopt:v:46:y:2010:i:1:p:147-154
    DOI: 10.1007/s10898-009-9414-2
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    References listed on IDEAS

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    1. S. Caratzoulas & C. A. Floudas, 2005. "Trigonometric Convex Underestimator for the Base Functions in Fourier Space," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 339-362, February.
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    Cited by:

    1. Hao-Chun Lu, 2017. "Improved logarithmic linearizing method for optimization problems with free-sign pure discrete signomial terms," Journal of Global Optimization, Springer, vol. 68(1), pages 95-123, May.
    2. Lu, Hao-Chun, 2020. "Indicator of power convex and exponential transformations for solving nonlinear problems containing posynomial terms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    3. O’Brien, Thomas & Reeb, Tyler, 2016. "Freight Efficiency Strategies: Operational Modernization at Distribution Nodes," Institute of Transportation Studies, Working Paper Series qt4fg9f0gv, Institute of Transportation Studies, UC Davis.
    4. Consiglio, Andrea & Carollo, Angelo & Zenios, Stavros A., 2014. "Generating Multi-factor Arbitrage-Free Scenario Trees with Global Optimization," Working Papers 13-35, University of Pennsylvania, Wharton School, Weiss Center.
    5. Jung-Fa Tsai & Ming-Hua Lin, 2011. "An Efficient Global Approach for Posynomial Geometric Programming Problems," INFORMS Journal on Computing, INFORMS, vol. 23(3), pages 483-492, August.
    6. Hao-Chun Lu & Liming Yao, 2019. "Efficient Convexification Strategy for Generalized Geometric Programming Problems," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 226-234, April.
    7. Lin, Ming-Hua & Tsai, Jung-Fa, 2012. "Range reduction techniques for improving computational efficiency in global optimization of signomial geometric programming problems," European Journal of Operational Research, Elsevier, vol. 216(1), pages 17-25.
    8. Carlos J. Nohra & Nikolaos V. Sahinidis, 2018. "Global optimization of nonconvex problems with convex-transformable intermediates," Journal of Global Optimization, Springer, vol. 72(2), pages 255-276, October.

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    1. Hao-Chun Lu & Liming Yao, 2019. "Efficient Convexification Strategy for Generalized Geometric Programming Problems," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 226-234, April.
    2. Jung-Fa Tsai & Ming-Hua Lin, 2011. "An Efficient Global Approach for Posynomial Geometric Programming Problems," INFORMS Journal on Computing, INFORMS, vol. 23(3), pages 483-492, August.

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