A　Note　on　Relations　between　Linear　Bilevel　Programming　and　Linear　Bicriteria　Programming

A Note on Relations between Linear Bilevel Programming and Linear Bicriteria Programming

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摘要 In this short note.we discuss the relations between linear bilevel programming and linear bicriteria programming.A counter example is comtructed to illustrate the the main result in Wen and Hsu[3]is not correct.A sufficient condition is also presented to guarantee at least of optimal solution of a linear bilevel programming problem is also an efficient solution of the corresponding bicriteria programming problem. In this short note.we discuss the relations between linear bilevel programming and linear bicriteria programming.A counter example is comtructed to illustrate the the main result in Wen and Hsu[3]is not correct.A sufficient condition is also presented to guarantee at least of optimal solution of a linear bilevel programming problem is also an efficient solution of the corresponding bicriteria programming problem.

作者 WANG Qian and WANG Shouyang(Institute of Systems Science.Chinese Academy of Sciences,Beijing 100080,China)

出处《Systems Science and Systems Engineering》 CSCD 1994年第4期346-350,共5页 系统科学与系统工程学报（英文版）

关键词 Bilevel programming bicriteria programming efficient solution Bilevel programming bicriteria programming efficient solution

分类号 N94 [自然科学总论—系统科学]

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1LIU Xiaomin,WANG Rishuang(Dept. of Math. Beijing University of Aero.& Astro.,Beijing,100083,P.R.China)WANG Shouyang,WANG Qian (Institute of Systems Science,Chinese Academy of Sciences. Beijing,100081, P.R. China).An Algorithm to Solve Linear Bilevel Programs[J].Systems Science and Systems Engineering,1995,5(2):158-167. 被引量：6
2Boltzmann　Machine　Method　forSolving　Mixed　Integer　Bilevel　Programming　Problem[J].Systems Science and Systems Engineering,1995,5(2):106-114.
3WANG Qian and WANG Shouyang Institute of Systems Science,Chinese Academy of Science.Beijing 100080,China.Bilevel Programs with Multiple Potential Reactions[J].Systems Science and Systems Engineering,1994,4(3):269-278.
4TENG Chun\|xian,\ LI Lei,\ LI Hao\|bai Harbin University of Science and Technology, Harbin 150080, China.A Class of Genetic Algorithms on Bilevel Multi-objective Decision Making Problem[J].Systems Science and Systems Engineering,2000,10(3):290-296. 被引量：1
5LI Lei, TENG Chun-xian, TIAN Guang-yue Harbin University of Science and Technology, Harbin, 150080, China.An Approximate Algorithm for a Class of Nonlinear Bilevel Integer Programming[J].Systems Science and Systems Engineering,2002,11(2):136-142. 被引量：1
6LITong,TENGChun-xian,等.A Class of Optimization Method for Bilevel Multi-objective Decision Making Problem with the Help of Satisfactoriness[J].Systems Science and Systems Engineering,2002,11(1):6-12.
7TAN Yongbo1, TAO Shanchang1, ZHU Baoyou1, MA Ming2 & LU Weitao2 1. School of Earth and Space Sciences, University of Science and Technology of China, Hefei 230026, China,2. Chinese Academy of Meteorological Sciences, Beijing 100081, China.Numerical simulations of the bi-level and branched structure of intracloud lightning flashes[J].Science China Earth Sciences,2006,49(6):661-672. 被引量：16

Systems Science and Systems Engineering

1994年第4期

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A　Note　on　Relations　between　Linear　Bilevel　Programming　and　Linear　Bicriteria　Programming

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