Column Generation

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

Buch | Softcover

358 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2005
Springer-Verlag New York Inc.
978-1-4419-3799-5 (ISBN)

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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).

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.

Erscheint lt. Verlag	29.10.2010
Zusatzinfo	XV, 358 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management ► Logistik / Produktion
	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
ISBN-10	1-4419-3799-4 / 1441937994
ISBN-13	978-1-4419-3799-5 / 9781441937995
Zustand	Neuware