Title : ( A new approach to solving semi-infinite programming problem )
Authors: Mahmoud Mahmoudi , Ali Vahidian Kamyad , Sohrab Effati ,
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Abstract
Our aim is this paper is to introduce a new approach for solving a semi-infinite programming problem. First, the problem is formulated as an optimal control problem in which the state of this optimal control problem is linear. Then, using measure theory, the optimalcontrol problem is replaced by an infinite dimensional linear programming problem.The infinite dimensional linear programming problem is then approximated by a finite linear programming problem which can be solved efficiently using simplex method. Finally , two numerical examples are given.
Keywords
, Semi-infinite programming, optimal control, linear programming
@inproceedings{paperid:1018240,
author = {Mahmoudi, Mahmoud and Vahidian Kamyad, Ali and Effati, Sohrab},
title = {A new approach to solving semi-infinite programming problem},
booktitle = {6th International Conference: Dynamical Systems and Applications-2010},
year = {2010},
location = {آنتالیا},
keywords = {Semi-infinite programming; optimal control; linear programming},
}
%0 Conference Proceedings
%T A new approach to solving semi-infinite programming problem
%A Mahmoudi, Mahmoud
%A Vahidian Kamyad, Ali
%A Effati, Sohrab
%J 6th International Conference: Dynamical Systems and Applications-2010
%D 2010
