Linear Integer Programming : : Theory, Applications, Recent Developments / / Santosh Kumar, Elias Munapo.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: Munapo, Elias,; Kumar, Santosh,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2022
• Year of Publication: 2021
• Language: English
• Series: De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences , 9
• Physical Description: 1 online resource (XVII, 183 p.)

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.

Table of Contents

Frontmatter -- Acknowledgements -- Preface -- Contents -- About the authors -- Chapter 1 Segment search approach for the general linear integer model -- Chapter 2 Improved solution method for the 0-1 GAP model -- Chapter 3 A search for an optimal integer solution over the integer polyhedron – Two iterative approaches -- Chapter 4 Use of variable sum limits to solve the knapsack problem -- Chapter 5 The characteristic equation for linear integer programs -- Chapter 6 Random search method for integer programming -- Chapter 7 Some special linear integer models and related problems -- Chapter 8 The travelling salesman problem: Sub-tour elimination approaches and algorithms -- Index