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논문 기본 정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.13 No.2
- 발행연도
- 2009.6
- 수록면
- 101 - 108 (8page)
이용수
초록· 키워드
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In this paper, we introduce generalized multiobjective fractional programming problem with two kinds of inequality constraints. Kuhn-Tucker sufficient and necessary optimality conditions are given. We formulate a generalized multiobjective dual problem and establish weak and strong duality theorems for an efficient solution under generalized convexity conditions.
목차
ABSTRACT
1. INTRODUCTION AND PRELIMINARIES
2. OPTIMALITY CONDITIONS
3. DUALITY THEOREMS
REFERENCES
참고문헌 (15)
참고문헌 신청
1. [학술지(정기간행물)] - C.R. Bector / 1973 / Duality in nonlinear fractional programming / Zeitschrift fur Ope. Res. 17 : 183 ~ 193
2. [단행본] - V. Chankong / 1983 / Multiobjective Decision Making: Theory and Methodology / Elsevier Science Publishing Co. Inc.
3. [단행본] - B.D. Craven / 1999 / Fractional programming with invexity in Progress in Optimization: Contributions from Australasia / Kluwer Academic Publishers : 79 ~ 89
4. [학술지(정기간행물)] - M.A. Hanson / 1981 / On sufficiency of the Kuhn-Tucker condition / J. Math. Anal. Appl. 80 : 545 ~ 550
5. [학술지(정기간행물)] - R. Jagannathan / 1973 / Duality for nonlinear fractional programs / Z. Oper. Res. 17 : 1 ~ 3
2. [단행본] - V. Chankong / 1983 / Multiobjective Decision Making: Theory and Methodology / Elsevier Science Publishing Co. Inc.
3. [단행본] - B.D. Craven / 1999 / Fractional programming with invexity in Progress in Optimization: Contributions from Australasia / Kluwer Academic Publishers : 79 ~ 89
4. [학술지(정기간행물)] - M.A. Hanson / 1981 / On sufficiency of the Kuhn-Tucker condition / J. Math. Anal. Appl. 80 : 545 ~ 550
5. [학술지(정기간행물)] - R. Jagannathan / 1973 / Duality for nonlinear fractional programs / Z. Oper. Res. 17 : 1 ~ 3
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UCI(KEPA) : I410-ECN-0101-2009-410-018463746