Column Generation

1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-1-4419-3799-5
Verlag: Springer US

Buch, Englisch, 358 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

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).

Zielgruppe

Research

Autoren/Hrsg.

Desaulniers, Guy

Solomon, Marius M.

Desrosiers, Jacques

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Entscheidungstheorie, Sozialwahltheorie
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

A Primer in Column Generation.- Shortest Path Problems with Resource Constraints.- Vehicle Routing Problem with Time Windows.- Branch-and-Price Heuristics: A Case Study on the Vehicle Routing Problem with Time Windows.- Cutting Stock Problems.- Large-Scale Models in the Airline Industry.- Robust Inventory Ship Routing by Column Generation.- Ship Scheduling with Recurring Visits and Visit Separation Requirements.- Combining Column Generation and Lagrangian Relaxation.- Dantzig-Wolfe Decomposition for Job Shop Scheduling.- Applying Column Generation to Machine Scheduling.- Implementing Mixed Integer Column Generation.