Vô hướng hóa phi tuyến cho bài toán tối ưu đa mục tiêu với yếu tố không chắc chắn
Abstract
Tóm tắt
Article Details
Tài liệu tham khảo
Ben-Tal, A.,Ghaoui, L.E., & Nemirovski, A. (2009). Robust Optimization. Princeton University Press.
Birge, J.R., &Louveaux, F. (2011). Introduction to Stochastic Programming. Springer.
Doolittle, E.K., Kerivin, H.L.M.,&Wiecek, M.M. (2018). Robust multiobjective optimization with application to internet routing. Annals of Operations Research,271(2): 487-525.
Durea, M., Strugariu, R.,&Tammer, C. (2017). On some method to derive necessary and sufficient optimality conditions in vector optimization. Journal of Optimization Theory and Applications,175(3): 738-763.
Han, Y. (2019). Nonlinear scalarizing functions in set optimization problems. Optimization. 68(9): 1685-1718.
Hernández, E.,&Rodríguez-Marín, L. (2007). Existence theorems for set optimization problems. Nonlinear Analysis: Theory, Methods and Applications.67(6): 1726-1736.
Jiao, L.,&Lee, J.H. (2019). Finding efficient solutions in robust multiple objective optimization with SOS-convex polynomial data. Annals of Operations Research, 1-18.
Khan, A.A., Tammer, C.,&Zălinescu, C. (2016). Set-valued Optimization. Springer.
Köbis, E., Tam, L.T.,&Tammer, C. (2018). A generalized scalarization method in set optimization with respect to variable domination structures. Vietnam Journal of Mathematics. 46(1): 95-125.
Kuhn, K., Raith, A., Schmidt, M.,&Schobel, A. (2016). Bi-objective robust optimisation. European Journal of Operational Research. 252(2): 418-431.
Popescu, I. (2007). Robust mean-covariance solutions for stochastic optimization. Operations Research,55(1): 98-112.
Zhang, W.Y., Li, S.J.,&Teo, K.L. (2009). Well-posedness for set optimization problems. Nonlinear Analysis: Theory, Methods and Applications,71(9): 3769-3778.