Springer Series in Operations Research and Financial Engineering

Linear Programming 1

Introduction

Authors: Dantzig, George B., Thapa, Mukund N.

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About this Textbook

By George B. Dantzig LINEAR PROGRAMMING The Story About How It Began: Some legends, a little about its historical sign- cance, and comments about where its many mathematical programming extensions may be headed. Industrial production, the ?ow of resources in the economy, the exertion of military e?ort in a war, the management of ?nances—all require the coordination of interrelated activities. What these complex undertakings share in common is the task of constructing a statement of actions to be performed, their timing and quantity(calledaprogramorschedule), that, ifimplemented, wouldmovethesystem from a given initial status as much as possible towards some de?ned goal. While di?erences may exist in the goals to be achieved, the particular processes, and the magnitudes of e?ort involved, when modeled in mathematical terms these seemingly disparate systems often have a remarkably similar mathematical str- ture. The computational task is then to devise for these systems an algorithm for choosing the best schedule of actions from among the possible alternatives. The observation, in particular, that a number of economic, industrial, ?nancial, and military systems can be modeled (or reasonably approximated) by mathem- ical systems of linear inequalities and equations has given rise to the development of the linear programming ?eld.

Table of contents (9 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-387-22633-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $144.00
price for USA
  • ISBN 978-0-387-94833-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $144.00
price for USA
  • ISBN 978-1-4757-8112-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Programming 1
Book Subtitle
Introduction
Authors
Series Title
Springer Series in Operations Research and Financial Engineering
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
George B. Dantzig and Mukund N. Thapa
eBook ISBN
978-0-387-22633-0
DOI
10.1007/b97672
Hardcover ISBN
978-0-387-94833-1
Softcover ISBN
978-1-4757-8112-0
Series ISSN
1431-8598
Edition Number
1
Number of Pages
XXXVIII, 435
Topics