Interior point based continuous methods for linear programming

Lizhi LIAO

doi:10.1109/IJCNN.2010.5596873

Interior point based continuous methods for linear programming

Lizhi LIAO^*

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

Abstract

In this paper, the interior point based continuous method is proposed for linear programming. The continuous method model can be viewed as the continuous realization of the existing interior point method for linear programming. Our study will be under the framework of the continuous method for optimization. As a result, we are able to study the behaviors of these continuous method models in a unified format. A key component of the continuous method is an ordinary differential equation (ODE), which is established based on the interior point method for linear programming. The properties of the ODE along with the convergence issues will be addressed.

Original language	English
Title of host publication	2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010
DOIs	https://doi.org/10.1109/IJCNN.2010.5596873
Publication status	Published - 2010
Event	2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010 - Barcelona, Spain Duration: 18 Jul 2010 → 23 Jul 2010

Publication series

Name	Proceedings of the International Joint Conference on Neural Networks

Conference

Conference	2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010
Country/Territory	Spain
City	Barcelona
Period	18/07/10 → 23/07/10

Scopus Subject Areas

Software
Artificial Intelligence

Access to Document

10.1109/IJCNN.2010.5596873

Cite this

@inproceedings{b1d23a3b4f924cdca63f61c00a42c1c0,

title = "Interior point based continuous methods for linear programming",

abstract = "In this paper, the interior point based continuous method is proposed for linear programming. The continuous method model can be viewed as the continuous realization of the existing interior point method for linear programming. Our study will be under the framework of the continuous method for optimization. As a result, we are able to study the behaviors of these continuous method models in a unified format. A key component of the continuous method is an ordinary differential equation (ODE), which is established based on the interior point method for linear programming. The properties of the ODE along with the convergence issues will be addressed.",

author = "Lizhi LIAO",

note = "Copyright: Copyright 2011 Elsevier B.V., All rights reserved.; 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010 ; Conference date: 18-07-2010 Through 23-07-2010",

year = "2010",

doi = "10.1109/IJCNN.2010.5596873",

language = "English",

isbn = "9781424469178",

series = "Proceedings of the International Joint Conference on Neural Networks",

booktitle = "2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010",

}

LIAO, L 2010, Interior point based continuous methods for linear programming. in 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010., 5596873, Proceedings of the International Joint Conference on Neural Networks, 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010, Barcelona, Spain, 18/07/10. https://doi.org/10.1109/IJCNN.2010.5596873

Interior point based continuous methods for linear programming. / LIAO, Lizhi.
2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010. 2010. 5596873 (Proceedings of the International Joint Conference on Neural Networks).

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

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AU - LIAO, Lizhi

PY - 2010

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N2 - In this paper, the interior point based continuous method is proposed for linear programming. The continuous method model can be viewed as the continuous realization of the existing interior point method for linear programming. Our study will be under the framework of the continuous method for optimization. As a result, we are able to study the behaviors of these continuous method models in a unified format. A key component of the continuous method is an ordinary differential equation (ODE), which is established based on the interior point method for linear programming. The properties of the ODE along with the convergence issues will be addressed.

AB - In this paper, the interior point based continuous method is proposed for linear programming. The continuous method model can be viewed as the continuous realization of the existing interior point method for linear programming. Our study will be under the framework of the continuous method for optimization. As a result, we are able to study the behaviors of these continuous method models in a unified format. A key component of the continuous method is an ordinary differential equation (ODE), which is established based on the interior point method for linear programming. The properties of the ODE along with the convergence issues will be addressed.

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DO - 10.1109/IJCNN.2010.5596873

M3 - Conference proceeding

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SN - 9781424469178

T3 - Proceedings of the International Joint Conference on Neural Networks

BT - 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010

T2 - 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 International Joint Conference on Neural Networks, IJCNN 2010

Y2 - 18 July 2010 through 23 July 2010

ER -

Interior point based continuous methods for linear programming

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