Column Generation

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Guy Desaulniers, Jacques Desrosiers, Marius M. Solomon
Springer Science & Business Media, Apr 20, 2005 - Business & Economics - 358 pages
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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).

The book is the first systematic treatment of column generation methodologies. It will provide students, researchers, and experienced column generation users with a much-needed state-of-the-art survey of the field.

 

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Contents

A PRIMER IN COLUMN GENERATION Jacques Desrosiers and Marco E Lubbecke
1
SHORTEST PATH PROBLEMS WITH RESOURCE CONSTRAINTS Stefan Irnich and Guy Desaulniers
33
VEHICLE ROUTING PROBLEM WITH TIME WINDOWS Brian Kallehauge Jesper Larsen Oli BG Madsen and Marius M Solomon
67
BRANCHANDPRICE HEURISTICS A CASE STUDY ON THE VEHICLE ROUTING PROBLEM WITH TIME WINDOWS Emilie Danna and Claud...
99
CUTTING STOCK PROBLEMS Hatem Ben Amor and Jose Valerio de Carvalho
131
LARGESCALE MODELS IN THE AIRLINE INDUSTRY Diego Klabjan
163
ROBUST INVENTORY SHIP ROUTING BY COLUMN GENERATION Marielle Christiansen and Bjorn Nygreen
197
SHIP SCHEDULING WITH RECURRING VISITS AND VISIT SEPARATION REQUIREMENTS Mikkel M Sigurd Nina L Ulstein Bjorn Nygreen a...
225
COMBINING COLUMN GENERATION AND LAGRANGIAN RELAXATION Dennis Huisman Raf Jans Marc Peeters and Albert PM Wagelmans
247
DANTZIGWOLFE DECOMPOSITION FOR JOB SHOP SCHEDULING Sylvie Gelinas and Francois Soumis
271
APPLYING COLUMN GENERATION TO MACHINE SCHEDULING Marjan van den Akker Han Hoogeveen Steef van de Velde
303
IMPLEMENTING MIXED INTEGER COLUMN GENERATION Francois Vanderbeck
331
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