Necessary Optimality Conditions for Semi-vectorial Bi-level Optimization with Convex Lower Level: Theoretical Results and Applications to the Quadratic Case-Reference-Cited by-同舟云学术

Necessary Optimality Conditions for Semi-vectorial Bi-level Optimization with Convex Lower Level: Theoretical Results and Applications to the Quadratic Case

Published:2020-07-18 Issue:3 Volume:9 Page:691-712
ISSN:2194-668X
Container-title:Journal of the Operations Research Society of China
language:en
Short-container-title:J. Oper. Res. Soc. China

Author:

Collonge Julien

Publisher

Springer Science and Business Media LLC

Subject

Management Science and Operations Research

Link

https://link.springer.com/content/pdf/10.1007/s40305-020-00305-w.pdf

Reference59 articles.

1. Philip, J.: Algorithms for the vector maximization problem. Math. Program. 2, 207–229 (1972)

2. An, L.T.H., Muu, L.D., Tao, P.D.: Numerical solution for optimization over the efficient set by d.c. optimization algorithms. Oper. Res. Lett. 19, 117–128 (1996)

3. Benson, H.P., LEE, D.: Outcome-based algorithm for optimizing over the efficient set of a bi-criteria linear programming problem. J. Optim. Theory Appl. 88, 77–105 (1996)

4. Benson, H.P.: Generating the efficient outcome set in multiple objective linear programs: the bi-criteria case. Acta Math. Vietnam 22, 29–51 (1997)

5. Benson, H.P.: Further analysis of an outcome set-based algorithm for multiple objective linear programming. J. Optim. Theory Appl. 97, 1–10 (1998)

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