期刊文献+

关于(F,ρ)-不变凸函数多目标规划的对偶性 被引量:5

Duality of Multiobjective Programming for (F,ρ)-Invariant Convexity Functions
下载PDF
导出
摘要 给出了(F,ρ)-不变凸函数的一些性质,提出了(F,ρ)-不变凸函数多目标规划的弱对偶定理和直接对偶定理. Some properities of (F,ρ) -invariant convexity functions are given, the weak duality theorem and the direct duality theorem of multiobjective programming for (F,ρ) -invariant convexity functions are presented.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第3期1-3,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 国家社会科学基金资助项目(05XRK008) 河南省科技厅自然科学基金资助项目(0511011500) 河南省软科学研究计划(0513030920) 河南省教育厅自然科学基金资助项目(2004110007)
关键词 (F ρ)-不变凸函数 多目标规划 有效解 对偶性 (F,ρ) -invariant convexity function, inultiobjective programming efficient solutions duality
  • 相关文献

参考文献3

二级参考文献15

  • 1[1]M.A. Hanson. On Sufficiency of the Kuhn-Tucker Conditions. J.Math. Anal. Appl.,1981,80:545~550.
  • 2[2]Wang Yingying, Dong Jiali, Duality Theorems of Multiobjective Programming for a Class of Generalized Convex Functions, 运筹学学报,1998, 4.
  • 3[3]M.A. Hanson and B. Mond. Further Generalizations of Convexity in Mathematical Programming. J. Inform. Optim. Sci., 1982, 3: 25 ~ 32.
  • 4Federowicz A J, Rajgopal Jayant. Robustness of posynomial geometric programming optima[J]. Math Prog, 1999, 85: 423-431.
  • 5Sui Yun Kang,Wang Xi Cheng. Second-order method of generalized geometric programming for spatial frame optimization[J]. Computer Methods in Applied Mechanics and engineering,1997, 141: 117-123.
  • 6Sherali H D, Tuncbilek C H. Comparison of two Reformulation-Linearization Technique based linear programming relaxations for polynomial programming problems[J].Journal of Global Optimization, 1997, 10: 381-390.
  • 7Sherali H D. Global optimization of nonconvex polynomial programming problems having rational exponents[J]. Journal of Global Optimization, 1998, 12: 267-283.
  • 8Dembo Ron S. A set of geometric programming test problems and their solutions[J].Math Prog, 1976, 10: 192-213.
  • 9Avriel M.Nonlinear Programming: Analysis and Method,1976.
  • 10HANSON M A.Invexity and the Kuhn-Tucker Theorem[J],1999.

共引文献39

同被引文献21

  • 1王丰辉,杨长森.关于广义凸性模[J].河南师范大学学报(自然科学版),2006,34(1):183-183. 被引量:6
  • 2Jian,J.B.,On Generalized Convexity[J].International Journal of Mathematical Sciences,2003,2(1):121-132.
  • 3E.A.Youness.E-convex sets,E-convex functions and E-convex Programming,Journal of Optimization Theory and Applications,Vol.1.02,No.2,1999.8:439-450.
  • 4Jian J B. On ( E, F) -generalized convexity [ J ]. International Journal of Mathematical Sciences,2003,2 ( 1 ) : 121-132.
  • 5Youness E A. E-convex sets, E-convex functions and E-convex programming[ J ]. Journal of Optimization Theory and Applications, 1999,102 (2) :439-450.
  • 6Jian J B. On (E,F)-generalized convexity. International Journal of Mathematical sciences, 2003,2( 1 ) : 121-132.
  • 7Bector C R, Singh C. B-vex function [ J ]. Journal of Optimization Theory and Applications, 1991,71:237-253.
  • 8申培萍,汪春峰,段运鹏.半(E,F)-凸函数多目标规划的对偶性[J].河南师范大学学报(自然科学版),2007,35(3):206-208. 被引量:5
  • 9Jeyakumar W. Strong and weak invexity in mathematical programming[J]. European Journal of Operational Research, 1985,55 : 109-125.
  • 10Ye Y L. d-invexity and optimality conditions[J]. Journal of Mathematical Analysis and its Application, 1991,162:242-249.

引证文献5

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部