Linear Programming: Foundations and Extensions (International Series in Operations Research & Management Science) by Robert J. Vanderbei

Engineering & Transportation | Engineering
Linear Programming: Foundations and Extensions (International Series in Operations Research & Management Science)
Title:
Linear Programming: Foundations and Extensions (International Series in Operations Research & Management Science)
Author:
Robert J. Vanderbei
ISBN:
0792398041
ISBN13:
978-0792398042
Size PDF:
1413 kb
Size epub:
1384 kb
Publisher:
Springer; 1997 edition (December 31, 1996)
Language:
English
Other formats:
pdf, odf, mobi, cb7, azw, lit, ibooks
Rating:
4.7
Votes:
258
This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well.
This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it.
Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available:
  • The two-phase simplex method
  • The primal-dual simplex method
  • The path-following interior-point method
  • The homogeneous self-dual methods.£/LIST£.
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