About Disjunctive Optimization
作者： Ivan I. Eremin
DOI: 10.1007/978-1-4757-3403-4_2
关键词: Feasible region 、 Dual (category theory) 、 Disjunctive programming 、 Reduction (recursion theory) 、 Lagrangian 、 Argument (linguistics) 、 Computer science 、 Algebra 、 Unconstrained optimization 、 Saddle point
摘要: In this paper we investigate the problems of disjunctive programming with an infinite array components forming a feasible set (as their union). The investigation continues theme author’s article [7] and describes original conceptual approach to a) analysis saddle point problem for Lagrangian functions, b) dual relations problems, c) technique equivalent (with respect argument) reduction such unconstrained optimization.
springer.com
sci-hub.st 参考文章(13)
I. I. Eremin, Theory of linear optimization VSP. ,(2002)
H. T. Jongen, J. J. Rückmann, O. Stein, Disjunctive Optimization: Critical Point Theory Journal of Optimization Theory and Applications. ,vol. 93, pp. 321- 336 ,(1997) , 10.1023/A:1022650006477
Hanif D. Sherali, C. M. Shetty, Optimization with disjunctive constraints ,(1980)
J. M. Borwein, A strong duality theorem for the minimum of a family of convex programs Journal of Optimization Theory and Applications. ,vol. 31, pp. 453- 472 ,(1980) , 10.1007/BF00934472
Willard I. Zangwill, Non-Linear Programming Via Penalty Functions Management Science. ,vol. 13, pp. 344- 358 ,(1967) , 10.1287/MNSC.13.5.344
Vivek Patkar, I.M. Stancu-Minasian, Duality in disjunctive linear fractional programming European Journal of Operational Research. ,vol. 21, pp. 101- 105 ,(1985) , 10.1016/0377-2217(85)90093-1
S. Helbig, Stability in disjunctive optimization II:continuity of the feasible and optimal set Optimization. ,vol. 31, pp. 63- 93 ,(1994) , 10.1080/02331939408844006
Egon Balas, Joseph M. Tama, Jørgen Tind, Sequential Convexification in Reverse Convex and Disjunctive Programming. Mathematical Programming. ,vol. 44, pp. 337- 350 ,(1989) , 10.1007/BF01587096
Siegfried Helbig, Duality in disjunctive programming via vector optimization Mathematical Programming. ,vol. 65, pp. 21- 41 ,(1994) , 10.1007/BF01581688
E. Balas, A Note on Duality in Disjunctive Programming. Journal of Optimization Theory and Applications. ,vol. 21, pp. 523- 528 ,(1977) , 10.1007/BF00933095