Overview
- Provides a survey overview of the state-of-the-art in integer programming column generation and its many applications
- Chapters are written by leading experts in the various methodological and application areas of Column Generation
- Includes supplementary material: sn.pub/extras
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About this book
Column Generation is an insightful overview of the state of the art in integer programming column generation and its many applications. The volume begins with "A Primer in Column Generation" which outlines the theory and ideas necessary to solve large-scale practical problems, illustrated with a variety of examples. Other chapters follow this introduction on "Shortest Path Problems with Resource Constraints," "Vehicle Routing Problem with Time Window," "Branch-and-Price Heuristics," "Cutting Stock Problems," each dealing with methodological aspects of the field. Three chapters deal with transportation applications: "Large-scale Models in the Airline Industry," "Robust Inventory Ship Routing by Column Generation," and "Ship Scheduling with Recurring Visits and Visit Separation Requirements." Production is the focus of another three chapters: "Combining Column Generation and Lagrangian Relaxation," "Dantzig-Wolfe Decomposition for Job Shop Scheduling," and "Applying Column Generation to Machine Scheduling." The final chapter by François Vanderbeck, "Implementing Mixed Integer Column Generation," reviews how to set-up the Dantzig-Wolfe reformulation, adapt standard MIP techniques to the column generation context (branching, preprocessing, primal heuristics), and deal with specific column generation issues (initialization, stabilization, column management strategies).
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Keywords
Table of contents (12 chapters)
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Front Matter
Editors and Affiliations
Accessibility Information
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Bibliographic Information
Book Title: Column Generation
Editors: Guy Desaulniers, Jacques Desrosiers, Marius M. Solomon
DOI: https://doi.org/10.1007/b135457
Publisher: Springer New York, NY
eBook Packages: Business and Economics, Business and Management (R0)
Copyright Information: Springer-Verlag US 2005
Hardcover ISBN: 978-0-387-25485-2Published: 20 April 2005
Softcover ISBN: 978-1-4419-3799-5Published: 29 October 2010
eBook ISBN: 978-0-387-25486-9Published: 20 March 2006
Edition Number: 1
Number of Pages: XV, 358
Topics: Operations Research/Decision Theory, Operations Research, Management Science, Optimization, Computational Mathematics and Numerical Analysis, Operations Management, Mathematical Modeling and Industrial Mathematics