Skip to main content
  • Book
  • © 2005

Column Generation

  • 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

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
  2. A Primer in Column Generation

    • Jacques Desrosiers, Marco E. Lübbecke
    Pages 1-32
  3. Shortest Path Problems with Resource Constraints

    • Stefan Irnich, Guy Desaulniers
    Pages 33-65
  4. Vehicle Routing Problem with Time Windows

    • Brian Kallehauge, Jesper Larsen, Oli B.G. Madsen, Marius M. Solomon
    Pages 67-98
  5. Cutting Stock Problems

    • Hatem Ben Amor, José Valério de Carvalho
    Pages 131-161
  6. Large-Scale Models in the Airline Industry

    • Diego Klabjan
    Pages 163-195
  7. Robust Inventory Ship Routing by Column Generation

    • Marielle Christiansen, Bjørn Nygreen
    Pages 197-224
  8. Ship Scheduling with Recurring Visits and Visit Separation Requirements

    • Mikkel M. Sigurd, Nina L. Ulstein, Bjørn Nygreen, David M. Ryan
    Pages 225-245
  9. Combining Column Generation and Lagrangian Relaxation

    • Dennis Huisman, Raf Jans, Marc Peeters, Albert P.M. Wagelmans
    Pages 247-270
  10. Dantzig-Wolfe Decomposition for Job Shop Scheduling

    • Sylvie Gélinas, François Soumis
    Pages 271-302
  11. Applying Column Generation to Machine Scheduling

    • Marjan van den Akker, Han Hoogeveen, Steef van de Velde
    Pages 303-330
  12. Implementing Mixed Integer Column Generation

    • François Vanderbeck
    Pages 331-358

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).

Editors and Affiliations

  • GERAD and École Polytechnique de Montréal, Canada

    Guy Desaulniers

  • GERAD and HEC Montréal, Canada

    Jacques Desrosiers

  • GERAD and Northeastern University, Boston

    Marius M. Solomon

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access