Linear and Integer Programming Made Easy

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This textbook provides concise coverage of the basics of linear and integer programming which, with megatrends toward optimization, machine learning, big data, etc., are becoming fundamental toolkits for data and information science and technology. The authors’ approach is accessible to students from almost all fields of engineering, including operations research, statistics, machine learning, control system design, scheduling, formal verification and computer vision. The presentations enables the basis for numerous approaches to solving hard combinatorial optimization problems through randomization and approximation. Readers will learn to cast various problems that may arise in their research as optimization problems, understand the cases where the optimization problem will be linear, choose appropriate solution methods and interpret results appropriately.

Author(s): T. C. Hu, Andrew B. Kahng (auth.)
Edition: 1
Publisher: Springer International Publishing
Year: 2016

Language: English
Pages: X, 143
Tags: Circuits and Systems; Math Applications in Computer Science; Appl.Mathematics/Computational Methods of Engineering; Applications of Mathematics

Front Matter....Pages i-x
Preliminaries....Pages 1-11
Introduction....Pages 13-28
Dimension of the Solution Space....Pages 29-38
Introduction to the Simplex Method....Pages 39-60
Duality and Complementary Slackness....Pages 61-72
Revised Simplex Method....Pages 73-80
Column Generating Technique....Pages 81-86
The Knapsack Problem....Pages 87-101
Asymptotic Algorithms....Pages 103-112
The World Map of Integer Programs....Pages 113-116
Linear and Integer Programming in Practice....Pages 117-130
Back Matter....Pages 131-143