SOME INVERSE OPTIMIZATION PROBLEMS ON NETWORK

被引：0

作者：

XU Cheng ^{[1
,2
]}

XU Xiaoming ^{[1
]}

机构：

[1] School of Management,University of Shanghai for Science and Technology

[2] College of Mathematics,Qingdao University

来源：

Journal of Systems Science & Complexity | 2013年 / 26卷 / 03期

关键词：

Dual problem; fractional minimum cost flow problem; gain network; inverse problem;

D O I：

暂无

中图分类号：

O157.5 [图论]; O224 [最优化的数学理论];

学科分类号：

070104 ; 070105 ; 1201 ;

摘要：

In this paper,the authors consider some inverse problems on network,such as the inverse transport problems with gains（IGTP） and the inverse linear fractional minimum cost flow problem（IFFP）.Firstly,the authors give the mathematics model of（IGTP） and an efficient method of solving it under l;norm;Secondly,taking advantage of the optimality conditions,the authors consider the（IFFP） and give a simple method of solving it.Finally,an numerical example test is also developed.

引用

页码：350 / 364

页数：15

共 50 条

[1] Some inverse optimization problems on network
Cheng Xu
Xiaoming Xu
[J]. Journal of Systems Science and Complexity, 2013, 26 : 350 - 364
[2] Some inverse optimization problems on network
Xu Cheng
Xu Xiaoming
[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2013, 26 (03) : 350 - 364
[3] Solution structure of some inverse combinatorial optimization problems
Zhang, JZ
Ma, ZF
[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION, 1999, 3 (01) : 127 - 139
[4] Solution Structure of Some Inverse Combinatorial Optimization Problems
Jianzhong Zhang
Zhongfan Ma
[J]. Journal of Combinatorial Optimization, 1999, 3 : 127 - 139
[5] Some inverse optimization problems under the Hamming distance
Duin, CW
Volgenant, A
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 170 (03) : 887 - 899
[6] Discussions of neural network solvers for inverse optimization problems
Aoyama, T
Nagashima, V
[J]. ICONIP'02: PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE ON NEURAL INFORMATION PROCESSING: COMPUTATIONAL INTELLIGENCE FOR THE E-AGE, 2002, : 1509 - 1512
[7] INVERSE OPTIMIZATION PROBLEMS FOR NONLINEAR MODELS ON GENERALIZED NETWORK
Pilipchuk, L. A.
[J]. APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'16), 2016, 1789
[8] Neural Network Technique in Some Inverse Problems of Mathematical Physics
Gorbachenko, Vladimir I.
Lazovskaya, Tatiana V.
Tarkhov, Dmitriy A.
Vasilyev, Alexander N.
Zhukov, Maxim V.
[J]. ADVANCES IN NEURAL NETWORKS - ISNN 2016, 2016, 9719 : 310 - 316
[9] NETWORK INVERSE PROBLEMS
Sharifov, F. A.
[J]. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2018, : 274 - 276
[10] Inverse Optimization for Routing Problems
Scroccaro, Pedro Zattoni
van Beek, Piet
Esfahani, Peyman Mohajerin
Atasoy, Bilge
[J]. TRANSPORTATION SCIENCE, 2024,

← 1 2 3 4 5 →