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In this paper, we consider a nonsmooth multiobjective robust optimization problem with more than two locally Lipschitz objective functions and locally Lipschitz constraint functions in the face of data uncertainty. We prove a nonsmooth sufficient optimality theorem for a weakly robust efficient solution of the problem. We formulate a Wolfe type dual problem for the problem, and establish duality theorems which hold between the problem and its Wolfe type dual problem.
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참고문헌 (12)
참고문헌 신청
A. Ben-Tal / 2002 / Robust optimization methodology and applica-tions / Math. Program 92:453~480
A. Ben-Tal / 2009 / Robust optimization / Princeton Series in Applied Mathematics
J. M. Danskin / 1967 / The Theory of Max-Min and its Application to Weapons Allo-cation Problems / Springer-Verlag
M. A. Hanson / 1981 / On su ciency of the Kuhn-Tucker conditions / J. Math. Anal. Appl 80:545~550
V. Jeyakumar / 2010 / Strong duality in robust convex programming: com-plete characterizations / SIAM J. Optim 20:3384~3407
A. Ben-Tal / 2009 / Robust optimization / Princeton Series in Applied Mathematics
J. M. Danskin / 1967 / The Theory of Max-Min and its Application to Weapons Allo-cation Problems / Springer-Verlag
M. A. Hanson / 1981 / On su ciency of the Kuhn-Tucker conditions / J. Math. Anal. Appl 80:545~550
V. Jeyakumar / 2010 / Strong duality in robust convex programming: com-plete characterizations / SIAM J. Optim 20:3384~3407
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