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Master's Dissertation
DOI
10.11606/D.55.2017.tde-30112017-164052
Document
Author
Full name
Luiza Takako Matumoto
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1996
Supervisor
Committee
Arenales, Marcos Nereu (President)
Franco, Neide Maria Bertoldi
Silva, Geraldo Nunes
Title in Portuguese
Algoritmos de Pontos Interiores para Programação Linear e uma Extensão para a Programação Linear por Partes.
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Desde o trabalho de Karmarkar em 1984, intensas pesquisas têm sido feitas sobre métodos de pontos interiores. Nesta dissertação estudamos a bibliografia relacionada a métodos de pontos interiores para a programação linear com ênfase em alguns algoritmos básicos: métodos de escala-afim primal e dual e método (path-following) primal-dual. Por último mostramos como estender algoritmos primais-duais a uma classe de programação linear por partes.
Title in English
Interior point algorithms for linear optimization and linear piecewise extention
Keywords in English
Not availabe
Abstract in English
Since Karmarkar's work in 1984, intensive research has been carried out on interior point methods. In this dissertation we studied the related bibliography of interior point methods for linear programming focusing on some basic algorithms: primal and dual affine-scaling methods and primal-dual (path-following) method. Finally it was showed how to extend primal-dual algorithms to a class of piecewise linear programming.
 
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Publishing Date
2017-11-30
 
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