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双层规划问题的一种模式搜索Filter方法 被引量:1

A Pattern Search Filter Method for Bilevel Programming Problems
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摘要 双层规划在工程设计和经济管理中应用广泛,结合模式搜索方法和Filter方法提出了一种解决双层规划问题的算法—模式搜索Filter方法.算法以Filter法思想构造接受准则,以模式搜索提供迭代方向和步长,能够有效的解决一类双层规划问题. Based on the pattern search method and the filter method, we presented a new algorithm-a pattern search filter method to solve the bilevel programming problems. The filter method offered problem an a^ceptance rule and the pattern search method provided problem the iteration directions and step length. Owing to the pattern search filter method with a pattern search and filter method, the algorithm can solve a kind of bilevel programming problem efficiently.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第2期162-169,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(71171151) 第三批中央专项(CSY11007)
关键词 双层规划 二目标规划 Filter方法 模式搜索方法 Keywords: bilevel programming bi-object programming filter method pattern searchmethod
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  • 1Bard J F. Practical Bi-level Optimization:Algorithms and Applications[M].Kluwer Academic Publishers.Dordresh,1998.
  • 2Vicente L,Savard G,Judice J. Decent approaches for quadratic bi-level programming[J].Journal of Optimization Theory and Applications,1994,(81):379-399.
  • 3Hejazi S R,Memariani A,Jahanshanloo G,Sepehri M M. Linear bilevel programming solution by genetic algorithm[J].Computers and Operations Research,2002.1913-1925.
  • 4Demple S. Annoted bibliography on bi-level programming and mathematical programming with equilibrium constraints[J].Optimization,2003,(03):333-359.
  • 5Yu ping Wang,Yong-chang Jiao,Hong Li. An Evolutionary Algorithms for Solving Nonlinear Bilevel programming Based on a New Constraint-Handing scheme[J].IEEE Transaction On Systems Man And Cybernetics-Part C:Applications and Reviews,2005,(02).
  • 6Hooke R,Jeeves T A. "Direct Search" Solution of Numerical problems[J].Journal of Association Computation Mathematics,1961,(08):212-229.
  • 7Fletcher R,Leyffer S. Nonlinear programming without a penalty function[J].Math Pang,2002,(02):239-269.doi:10.1007/s101070100244.
  • 8Audet C,Dennis J E.Jr. Combining pattern search and filter algorithms for derivative free optimization[TR00-9][R].Department of Computational and Applied Mathematics,Rice university,Houston,TX,2000.
  • 9Clarke F H. Optimization and Non-smooth Analysis[A].Philadelphia:SIAM,1990.
  • 10Zhang J Z,Liu G S. A new extreme point algorithm and its application in PSQP algorithms for solving mathematical programs with linear complementarity constraints[J].Journal of Global Optimization,2001.345-361.

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