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《JOURNAL OF GUANGZHOU NORMAL UNIVERSITY》 1994-02
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SOLUTION FOR LINEAR FRACTIONAL PROGRAMMING IN GENERAL FORM

He Wenhan; Xue Shengjia(Guangdong Youth Cadre College) (Jinan University)  
In this paper, the authors present an algorithm to handle linear fractional programming in the general form directly, which need not transform the constraints of the problem into the stan dard form. It is proved that the algorithm terminates with an optimal solution of the original prob lem after a finite number of stepe without the nondegeneracy assumption.
【CateGory Index】: TB11
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【References】
Chinese Journal Full-text Database 3 Hits
1 CHEN Cheng1,YANG Seng2,LI Fen-Hong3 (1.Basic Courses Department,Xi'an Communication Institute,Xi'an,Shaanxi 710106;2.School of Science,Henan University of Science and Technology,Luoyang,Henan 471003;3.Department of Mathemtics and Computational Science,Shangluo University,Shangluo,Shaanxi 726000);Frank-wolfe Optimization Algorithm of Linear Fractional Programming[J];商洛学院学报;2010-02
2 XUE Sheng-jia,ZHOU Le-ping(Department of Business Administration,Jinan University,Guangzhou 510632,China);A method for determining all solutions of pseudolinear programming with general linear constraints[J];暨南大学学报(自然科学与医学版);2010-01
3 XUE Sheng-jia,HAN Xiao-hua(Department of Business Administration,Jinan University,Guangzhou 510632,China);The structure and search procedure of solution sets of linear fractional programming in general form[J];暨南大学学报(自然科学与医学版);2006-05
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Xue Shengjia;A Direct Method for Linear Programming in the General Form[J];广西大学学报(自然科学版);1989-03
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 XUE Sheng-jia,ZHOU Le-ping(Department of Business Administration,Jinan University,Guangzhou 510632,China);A method for determining all solutions of pseudolinear programming with general linear constraints[J];暨南大学学报(自然科学与医学版);2010-01
2 XUE Sheng-jia,HAN Xiao-hua(Department of Business Administration,Jinan University,Guangzhou 510632,China);The structure and search procedure of solution sets of linear fractional programming in general form[J];暨南大学学报(自然科学与医学版);2006-05
3 XUE Sheng-jia,\ LIU Hui (Dept. of Business Administration, Jinan University, 510632 Guangzhou, China)[;Determining the optimal solution set for linear programming in general form[J];暨南大学学报(自然科学与医学版);2001-01
4 He Wenhan; Xue Shengjia(Guangdong Youth Cadre College) (Jinan University);SOLUTION FOR LINEAR FRACTIONAL PROGRAMMING IN GENERAL FORM[J];广州师院学报(自然科学版);1994-02
5 Xue Shengjia;A Method of Solution for the Linear Programming Problem Whose Feasible Set Has no Extreme Point[J];广西大学学报(自然科学版);1990-04
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 XU Yu-sheng,CHEN Cheng,SHI Xiang-ping (School of Science,Xi'an University of Architecture & Technology,Xi'an,Shaanxi 710055);Frank-wolfe algorithm to solve bilevel linear price control problems[J];商洛学院学报;2007-02
2 Xue Shengjia School of Management, Jinan University, Guangzhou 510632, China.;ON ALTERNATIVE OPTIMAL SOLUTIONS TO QUASIMONOTONIC PROGRAMMING WITH LINEAR CONSTRAINTS[J];Applied Mathematics:A Journal of Chinese Universities(Series B);2007-01
3 XUE Sheng-jia,HAN Xiao-hua(Department of Business Administration,Jinan University,Guangzhou 510632,China);The structure and search procedure of solution sets of linear fractional programming in general form[J];暨南大学学报(自然科学与医学版);2006-05
4 XUE Sheng-jia, ZUO Xiao-de (Management College, Jinan University, Guangzhou Guangdong 510632, China);An Approach for Determining all Optimization Solutions of Linear Programming[J];数学的实践与认识;2005-01
5 Xue Shengjia Management College, Jinan University,Guangzhou 510632, P.R. China;Determining the Optimal Solution Set for Linear Fractional Programming[J];Journal of Systems Engineering and Electronics;2002-03
6 SHENGJIA XUE(Management College, Jinan University, Guangzhou, 510632);A Way to Find the Set of Optimal Solutions in Linear Fractional Programming[J];应用数学与计算数学学报;2002-01
7 Li Jun (College of Economics and Management,Southwest Jiaotong University, Chengdu,Sichuan,610031 China);The Discuss on Alternative Optimal Solutions of Linear Programming[J];运筹与管理;1999-01
8 He Wenhan; Xue Shengjia(Guangdong Youth Cadre College) (Jinan University);SOLUTION FOR LINEAR FRACTIONAL PROGRAMMING IN GENERAL FORM[J];广州师院学报(自然科学版);1994-02
9 Zheng Yijian (Fujian Institute of Economic Management);Optimal Solution Set Structure and Sufficient Condition of only having Unique Basic Optimal Solution for a Linear Programming Problem[J];应用数学与计算数学学报;1992-01
10 Xue Shengjia;A Direct Method for Linear Programming in the General Form[J];广西大学学报(自然科学版);1989-03
【Secondary References】
Chinese Journal Full-text Database 4 Hits
1 XUE Sheng-jia;CHENG Da-jian;School of Management,Jinan University;;Optimal solution set to pseudoconvex quadratic programming[J];系统工程与电子技术;2014-09
2 ZHANG Ming1,XU Bo2,SHEN Yunfeng1,HE Jun1(1.Department of Military Teaching,Institute of Engineer Corps,Xuzhou Jiangsu 221004,China; 2.Department of Scientific Research,Institute of Engineer Corps,Xuzhou Jiangsu 221004,China);Research on Assessment and Optimization Model of Engineering Equipment's BDRA Ability[J];装备指挥技术学院学报;2011-06
3 CHEN Cheng1,YANG Seng2,LI Fen-Hong3 (1.Basic Courses Department,Xi'an Communication Institute,Xi'an,Shaanxi 710106;2.School of Science,Henan University of Science and Technology,Luoyang,Henan 471003;3.Department of Mathemtics and Computational Science,Shangluo University,Shangluo,Shaanxi 726000);Frank-wolfe Optimization Algorithm of Linear Fractional Programming[J];商洛学院学报;2010-02
4 XUE Sheng-jia,ZHOU Le-ping(Department of Business Administration,Jinan University,Guangzhou 510632,China);A method for determining all solutions of pseudolinear programming with general linear constraints[J];暨南大学学报(自然科学与医学版);2010-01
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