DOI QR코드

DOI QR Code

OPTIMALITY CONDITIONS AND DUALITY IN FRACTIONAL ROBUST OPTIMIZATION PROBLEMS

  • Kim, Moon Hee (Department of Refrigeration Engineering, Tongmyong University) ;
  • Kim, Gwi Soo (Department of Applied Mathematics, Pukyung National University)
  • 투고 : 2014.10.15
  • 심사 : 2015.03.30
  • 발행 : 2015.05.31

초록

In this paper, we consider a fractional robust optimization problem (FP) and give necessary optimality theorems for (FP). Establishing a nonfractional optimization problem (NFP) equivalent to (FP), we formulate a Mond-Weir type dual problem for (FP) and prove duality theorems for (FP).

키워드

참고문헌

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  5. M. H. Kim, Robust duality for generalized invex programming problems, Commun. Korean Math. Soc. 28(2013), 419-423. https://doi.org/10.4134/CKMS.2013.28.2.419
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  7. G. M. Lee and M. H. Kim, On duality theorems for robust optimization problems, J. Chungcheong Math. Soc. 26(2013), 723-734. https://doi.org/10.14403/jcms.2013.26.4.723
  8. G. M. Lee and D. S. Kim, Duality theorems for fractional multiobjective minimization problems, Proceedings of the 1st Workshop in Applied Mathematics 1 (1993), 245-256.

피인용 문헌

  1. ON OPTIMALITY AND DUALITY FOR GENERALIZED FRACTIONAL ROBUST OPTIMIZATION PROBLEMS vol.31, pp.5, 2015, https://doi.org/10.7858/eamj.2015.054
  2. ON SUFFICIENCY AND DUALITY FOR FRACTIONAL ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ��)-INVEX FUNCTION vol.32, pp.5, 2016, https://doi.org/10.7858/eamj.2016.043