An important result in combinatorial analysis is known as Koenig's Theorem . Theorem 6.1 . Koenig's Theorem . For any matrix A and its set Z of zero positions Independence order = Covering index . ( 6.25 ) This theorem can be ...
This book offers a comprehensive treatment of the exercises and case studies as well as summaries of the chapters of the book "Linear Optimization and Extensions" by Manfred Padberg.
This book presents a comprehensive treatment of linear optimization with inexact data, summarizing existing results and presenting new ones within a unifying framework.
From the reviews: "Do you know M.Padberg's Linear Optimization and Extensions? [...] Now here is the continuation of it, discussing the solutions of all its exercises and with detailed analysis of the applications mentioned.
Students end up without knowing duality in their bones. This text brings in duality in Chapter 1 and carries duality all the way through the exposition.
In addition to fundamental topics, the book discusses current l
This book takes a unique approach to linear optimization by focusing on the underlying principles and business applications of a topic more often taught from a mathematical and computational perspective.
This book aims to illustrate with practical examples the applications of linear optimization techniques.
The book also covers some general methods for calculating processes for certain problems of linear optimisation: the problem of stability and correctness.This book contains original scientific material, which is of value and interest to ...
Test problems used by Forrest, Hirst, and Tomlin [154], with 2000-3000 rows required several hundred iteration of dual simplex. Since the penalty calculations are based on only one iteration of the dual simplex method, these penalties ...
This book provides a unified, insightful, and modern treatment of linear optimization, that is, linear programming, network flow problems, and discrete optimization.