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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국경영과학회 Management Science and Financial Engineering International Journal of Management Science Vol.12, No.1
- 발행연도
- 2006.5
- 수록면
- 113 - 125 (13page)
이용수
초록· 키워드
오류제보하기
Bilevel programming problem is a two-stage optimization problem where the constraint region of the first level problem is implicitly determined by another optimization problem. In this paper we consider the bilevel quadratic/linear fractional programming problem in which the objective function of the first level is quasiconcave, the objective function of the second level is linear fractional and the feasible region is a convex polyhedron. Considering the relationship between feasible solutions to the problem and bases of the coefficient submatrix associated to variables of the second level, an enumerative algorithm is proposed which finds a global optimum to the problem.
목차
ABSTRACT
1. INTRODUCTION
2. THEORETICAL DEVELOPMENT
3. ALGORITHMIC DEVELOPMENT
4. ILLUSTRATIVE EXAMPLE
5. CONCLUSION
ACKNOWLEDGEMENTS
REFERENCES
참고문헌 (16)
참고문헌 신청
[학술지(정기간행물)] - / 1986 / Linear quadratic and bilinear programming approaches to linear complementarity problem 24 : 216 ~ 227
[학술지(정기간행물)] - / 1984 / Optimality conditions for the bilevel programming problem 31 : 13 ~ 26
[학술지(정기간행물)] - / 1970 / Solving certain non-convex quadratic minimization problems by ranking the extreme points 18 : 82 ~ 86
[학술지(정기간행물)] - / 1998 / On the quasiconcave bilevel programming problem 98 (3) : 613 ~ 622
[학술지(정기간행물)] - / 1999 / The bilevel linear/linear fractional programming problem 114 : 188 ~ 197
[학술지(정기간행물)] - / 1984 / Optimality conditions for the bilevel programming problem 31 : 13 ~ 26
[학술지(정기간행물)] - / 1970 / Solving certain non-convex quadratic minimization problems by ranking the extreme points 18 : 82 ~ 86
[학술지(정기간행물)] - / 1998 / On the quasiconcave bilevel programming problem 98 (3) : 613 ~ 622
[학술지(정기간행물)] - / 1999 / The bilevel linear/linear fractional programming problem 114 : 188 ~ 197
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