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《Journal of Xiamen University(Natural Science)》 2010-01
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Research and Application on Optimization Problem with Discontinuous Constraints

ZHANG Jie,ZHAO Li-ping (College of Science,Northeast Dianli Unversity,Jilin 132013,China)  
The nonlinear optimization problem with discontinuous constraints can describes many projects and the management of economy. This article researched the optimization problem with discontinuity point of the first kind of constraints,built mixed-integer optimized models on the problem,by means of constructing continuous function and inducting logical variable,then analyzed and solved the problem.At the same time,gave a calculated instance as the application of this problem.
【Fund】: 国家自然科学基金(10671082)
【CateGory Index】: O221.4
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 ZHANG Hong-wei~*,ZHANG Li-wei,XIA Zun-quan,SONG Chun-ling(Dept.of Appl.Math.,Dalian Univ.of Technol.,Dalian 116024,China);Optimality conditions for generalized quasi-differentiable optimization problems with inequality constraints[J];Journal of Dalian University of Technology;2006-02
2 GAO Yun-feng1,LIU Qing-huai2(1.Department of Foundation,Jilin Agricultural Science and Technology College,Jilin 132109,Jilin Province,China;2.Institute of Applied Mathematics,Changchun University of Technology,Changchun 130012,China);The Combined Homotopy Methods for Optimization Problem with Partial Reverse Convex Constraints[J];Journal of Jilin University(Science Edition);2008-06
3 HUANG Tian-Yun(School of Computer Science and Technology,Southwest University for Nationalities,Chengdu 610041);Research Advances on Pattern Searches in Constrained Optimization[J];Chinese Journal of Computers;2008-07
4 Bao Jifeng (Department of Mathematics,Zhejiang University,Hangzhou 310027,China) Zhu Detong (Business College,Shanghai Normal University,Shanghai 200234,China);AN AFFINE SCALING CONJUGATE GRADIENT PATH METHOD FOR NONLINEAR OPTIMIZATION SUBJECT TO BOUNDS[J];Mathematica Numerica Sinica;2009-01
5 GAN Min,PENG Hui (School of Information Science and Engineering,Central South University,Changsha 410083,China);A New Adaptive Penalty Function Based Algorithm for Solving Constrained Optimization Problems[J];Information and Control;2009-01
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 Pan Shao-rong 1,2,Zhang Hong-wei 1 and Zhang Li-wei 1(1. School of Mathematical Sciences,Dalian University of Technology,Dalian,116024) (2. School of Mathematical Sciences,Harbin Normal University,Harbin,150080);Star-shaped Differentiable Functions and Star-shaped Differentials[J];数学研究通讯(英文版);2010-01
2 GAO Yun-feng1,LIU Qing-huai2(1.College of Arts and Science,Jilin Agricultural Science and Technology College,Jilin 132101,Jilin Province,China;2.Institute of Applied Mathematics,Changchun University of Technology,Changchun 130012,China);A Construction Method of Quasi-normal Cone and Its Application in Nonconvex Optimizition[J];Journal of Jilin University(Science Edition);2009-06
3 GAN Min,PENG Hui,WANG Yong(College of Information Science and Engineering,Central South University,Changsha 410083,China. );Multiobjective optimization and adaptive penalty function based constrained optimization evolutionary algorithm[J];Control and Decision;2010-03
4 ZHANG Chuang-ye, HE Deng-xu, MO Yuan-bin(College of Mathematics & Computer Science, Guangxi University for Nationlities, Nanning 530006, China);Multi-swarm and multi-hierarchy co-evolution algorithm for constrained optimization problems and its application[J];Application Research of Computers;2010-05
5 ZHANG Yong1,ZHU De-tong2(1.Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China;2.College of Business,Shanghai Normal University,Shanghai 200234,China);An inexact Newton affine scaling conjugate gradient path method for bound-constrained nonlinear systems[J];Journal of Shanghai Normal University(Natural Sciences);2009-02
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 YU WENCI(Fudan University, Shanghai);POSITIVE BASIS AND A CLASS OF DIRECT SEARCH TECHNIQUES[J];Science in China,Ser.A;1979-S1
2 LIU Guoxin, Feng Guochen(College of Mathematics, Jilin University, Changchun 130012, China)YU Bo(Department of Applied Mathematics, Dalian University of Science and Technology, Dalian 116024, China);Aggregate Homotopy Method for Sequential Max-Min Problems[J];Acta Scientiarium Naturalium Universitatis Jilinensis;2003-02
3 LIN Tao, ZHU De - tong ( Mathmatics and Sciences College, Shanghai Normal University, Shanghai 200234, China);An affine scaling interior projected conjugate gradient path algorithm for the box constrained optimization[J];Journal of Shanghai Teachers University;2005-03
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