期刊文献+

二层概率约束规划的逼近算法

The approximation algorithm with two layer relating probability restraint programming problem
下载PDF
导出
摘要 探讨了二层概率约束规划问题的稳定性.得出了当随机向量序列{ζ(k)(ω)}分布收敛于ζ(ω)时,相应于{ζ(k)(ω)}的二层概率约束规划问题的最优值收敛于原问题的最优值. The stability of two layer probability restraint programming problem was discussed.It was obtained that optimal values of {ζ(k)(ω)} with two layer probability restraint programming problem converge to optimal values of the original problem when random vector sequence {ζ(k)(ω)} distribution converge to ζ(ω).
作者 叶中华
出处 《纺织高校基础科学学报》 CAS 2011年第3期333-337,共5页 Basic Sciences Journal of Textile Universities
关键词 概率约束 稳定性 逼近算法 随机向量 probability restraint stability approximation algorithm random vector
  • 相关文献

参考文献9

  • 1Van CUSTEM B. Problems in convergence in stochastic linear programming[ M ]//BAKAKRITHNAN A. Technique of Opti- mization. New York : Academic Press, 1972.
  • 2BEREANU B. The continuity of optimum in parametric programming and applications to stochastic programming[ J]. J Optim Theory Appl, 1976,18 : 319 -333.
  • 3SALINETI'I G, WETS R. On the convergence in distribution of measurable multi-functions, normal integrands, stochastic process and stochastic infina[ J ]. Oper Res, 1986,11:385-419.
  • 4WETS R. Stochastic programming: solution techniques and approximation schemes [ C ]. BACHEM A, GROETSCHEL M , KORTE B. Math Programming:The State of Art,1983:5064503.
  • 5WANG J D. Lipschitz continuity of objective functions in stochastic programs with fLxed recourse and its applications [ J ]. Math Progr Study ,1986,27 : 145-152.
  • 6SALINETrI G. Approximations for chance constrained programming problems [ J ]. Stochastic, 1983,10 : 157-179.
  • 7王婷,刘勇,叶中华.具有概率约束的二层随机规划的逼近算法[J].纺织高校基础科学学报,2008,21(2):230-232. 被引量:2
  • 8BANK B, GUDDAT J, KLATrE D,et al. Non-linear parametric optimization [ M ]. Berlin: Academic-Verlag, 1983.
  • 9BILLINGSLEY P. Convergence of probability measures [ M ]. New York :John Wiley, 1968.

二级参考文献7

  • 1徐维军,徐寅峰.具有概率分布在线租赁问题策略研究[J].中国管理科学,2005,13(5):33-38. 被引量:16
  • 2STACKELBERG H V. The theory of market economy[J]. Oxford:Oxford University Press, 1952.
  • 3AIYOSHI E,SHIMIZU K. A solution method for the static constrained Stackelberg problem via penalty method [J]. IEEE Trans on Automation Control,1984,29(12):1 111-1 114.
  • 4ANANDALINGAM G. WHITE D J. A solution method for the linear static Stackelberg problem using penalty method [J]. IEEE Trans on Automation Control,35(10):1 170-1 173.
  • 5WHITE D J ,ANANDALINGAM G. A penalty function approach for solving bi-level linear programs [J]. Journal of Globe Optimization,1993(3) :397-419.
  • 6KALL P.随机线性规划[M].王金德,译,唐述钊,校.上海:上海科学技术出版社,1988.
  • 7徐裕生,杨秀峰,刘勇.基于混沌优化的一种二层非线性规划算法[J].纺织高校基础科学学报,2007,20(3):265-268. 被引量:1

共引文献1

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