Column Generation (Gerad 25th Anniversary) [Hardcover]

Guy Desaulniers (Editor), Jacques Desrosiers (Editor), Marius M. Solomon (Editor)

Book Description

Publication Date: April 20, 2005 | Series: Gerad 25th Anniversary

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).

Product Details

• Hardcover: 374 pages
• Publisher: Springer; 1 edition (April 20, 2005)
• Language: English
• ISBN-10: 0387254854
• ISBN-13: 978-0387254852
• Product Dimensions: 9.5 x 6.5 x 1.3 inches
• Shipping Weight: 1.5 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #2,178,636 in Books (See Top 100 in Books)