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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국자료분석학회 Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제9권 제3호
- 발행연도
- 2007.1
- 수록면
- 1,007 - 1,016 (10page)
이용수
초록· 키워드
오류제보하기
Optimality theorems of Fritz John type are established for multiple objective nonconvex optimization problems. Dual problems are given for these problems and it is shown that duality theorems hold without any form of constraint qualifications. We introduce some theorems about convex, pseudoconvex, and quasiconvex cases. Also, we explain of differences between these convex. The weak and strong duality relating (P) and (D) is proved in this paper. So, we recommend the differences among convex, pseudoconvex, and quasiconvex cases using the optimality and duality. Theorems of optimality and duality will give us information about convex.
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참고문헌 (16)
참고문헌 신청
Bector, C. R. / 1977 / Sufficient optimality conditions in presence of quasi-convex equality constraints / Mathemathic Operationsforsch Statistic, Service Optimization 8 : 18
Bector, C. R. / 1987 / On various duality theorems in nonlinear programming / Journal Optimization Theory Applied 53 (1987) : 509 ~ 515
Bector, C. R. / 1988 / Sufficient optimality conditions and duality for a quasiconvex programming problem / Journal Optimization Theory Applied 59 : 209 ~ 221
ChanKeunPark / 2002 / A Study of AIC, SICc, and Cp in Non-Orthogonal Regression / Journal of The Korean Data Analysis Society 4 (4) : 373 ~ 386
Craven, B. D. / 1977 / Lagrangian conditions and quasiduality / Bullutin Australia Mathematic Social 16 : 325 ~ 339
Bector, C. R. / 1987 / On various duality theorems in nonlinear programming / Journal Optimization Theory Applied 53 (1987) : 509 ~ 515
Bector, C. R. / 1988 / Sufficient optimality conditions and duality for a quasiconvex programming problem / Journal Optimization Theory Applied 59 : 209 ~ 221
ChanKeunPark / 2002 / A Study of AIC, SICc, and Cp in Non-Orthogonal Regression / Journal of The Korean Data Analysis Society 4 (4) : 373 ~ 386
Craven, B. D. / 1977 / Lagrangian conditions and quasiduality / Bullutin Australia Mathematic Social 16 : 325 ~ 339
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