Linear Programs & Related Problems book cover

Linear Programs & Related Problems

A Volume in the COMPUTER SCIENCE and SCIENTIFIC COMPUTING Series

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

Audience
Students of operations research, engineering, mathematics, and computer science.

Hardbound, 584 Pages

Published: October 1992

Imprint: Academic Press

ISBN: 978-0-12-515440-6

Contents

  • Sample Linear Problems. Tableau Algebra. Canonical Duality. the Simplex Algorithm. General Linear Programs. Numerical Considerations. Matrix Games. Assignment and Matching Problems. Transportations Problems. Network Flow Problems. The Transshipment Problem. Nonlinear programs.

Advertisement

advert image