Progress in Mathematical Programming : Interior-Point and Related Methods

Language: English

Published by Springer, Copernicus, 2011

1461396190 / 9781461396192

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Druck auf Anfrage Neuware - Printed after ordering - The starting point of this volume was a conference entitled 'Progress in Mathematical Programming,' held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms.

Seller Inventory # 9781461396192

Title
Progress in Mathematical Programming : Interior-Point and Related Methods
Author
Nimrod Megiddo
Publisher
Springer, Copernicus
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461396190
ISBN 13
9781461396192
Item weight
271 grams
Dimensions
235x155x10 mm

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