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International Journal of Computer Mathematics Volume 88, 2011 - Issue 2
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Section B

Application of He's homotopy perturbation method to linear programming problems

M. Mehrabinezhad Department of Applied Mathematics, Islamic Azad University, Mashhad Branch, Mashhad, IranCorrespondence[email protected]
&
J. Saberi-Nadjafi Department of Applied Mathematics, School of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran
Pages 341-347 | Received 29 Apr 2009, Accepted 25 Oct 2009, Published online: 26 Nov 2010
 
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Abstract

In this paper, we use He's homotopy perturbation method (HPM) for solving linear programming (LP) problems. By applying HPM for this class of problems, optimal solutions of a primal LP problem and its corresponding dual problem can be obtained at the same time. The efficiency of the method is shown by solving some examples.

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