Column Generation

Guy Desaulniers, Jacques Desrosiers, Marius M. Solomon

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English

Springer-Verlag New York Inc.
20 April 2005

Management decision making; Management of specific areas; Operational research; Number systems; Algebra; Numerical analysis; Optimisation; Applied mathematics

Summary
Details

"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)."

Edited by: Guy Desaulniers, Jacques Desrosiers, Marius M. Solomon
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2005 ed.
Dimensions: Height: 235mm, Width: 155mm, Spine: 22mm
Weight: 1.550kg
ISBN: 9780387254852
ISBN 10: 0387254854
Pages: 358
Publication Date: 20 April 2005
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active