Linear Integer Programming: Theory, Applications, Recent Developments

Elias Munapo; Santosh Kumar

Published by De Gruyter 2022

Linear Integer Programming

Theory, Applications, Recent Developments

Elias Munapo and Santosh Kumar

Volume 9 in the series De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences

https://doi.org/10.1515/9783110703023

Overview
Contents

About this book

This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic equation (CE), application of CE to bi-objective and multi-objective problems, Binary integer problems, Mixed-integer models, Knapsack models, Complexity reduction, Feasible-space reduction, Random search, Connected graph are also treated.

Author / Editor information

Santosh Kumar, RMIT University, Australia; Elias Munapo, North West University, South Africa.

Topics

Frontmatter Publicly Available Download PDF	I
Acknowledgements Publicly Available Download PDF	VII
Preface Publicly Available Download PDF	IX
Contents Publicly Available Download PDF	XI
About the authors Publicly Available Download PDF	XVII
Chapter 1 Segment search approach for the general linear integer model Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2 Improved solution method for the 0-1 GAP model Requires Authentication Unlicensed Licensed Download PDF	19
Chapter 3 A search for an optimal integer solution over the integer polyhedron – Two iterative approaches Requires Authentication Unlicensed Licensed Download PDF	33
Chapter 4 Use of variable sum limits to solve the knapsack problem Requires Authentication Unlicensed Licensed Download PDF	53
Chapter 5 The characteristic equation for linear integer programs Requires Authentication Unlicensed Licensed Download PDF	65
Chapter 6 Random search method for integer programming Requires Authentication Unlicensed Licensed Download PDF	95
Chapter 7 Some special linear integer models and related problems Requires Authentication Unlicensed Licensed Download PDF	119
Chapter 8 The travelling salesman problem: Sub-tour elimination approaches and algorithms Requires Authentication Unlicensed Licensed Download PDF	155
Index Requires Authentication Unlicensed Licensed Download PDF	181

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and Practitioners in Mathematical Programming, Operation Research, Computer Science and Engineering.
Pages
- Front matter: 17
- Main content: 183
Illustrations
- Illustrations: 28
- Coloured Illustrations: 11
- Tables: 64
- Coloured Tables: 48
Keywords: Operation Research; Nonlineare Programmierung; Integer

eBook

Published: December 6, 2021
ISBN: 9783110703023

Hardcover

Published: December 6, 2021
ISBN: 9783110702927