Column Generation

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· GERAD 25th anniversary series Книга 5 · Springer Science & Business Media
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Π•Π»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½Π° ΠΊΠ½ΠΈΠ³Π°
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ΠžΡ†Π΅Π½ΠΊΠΈΡ‚Π΅ ΠΈ ΠΎΡ‚Π·ΠΈΠ²ΠΈΡ‚Π΅ Π½Π΅ са ΠΏΠΎΡ‚Π²ΡŠΡ€Π΄Π΅Π½ΠΈ  НаучСтС ΠΏΠΎΠ²Π΅Ρ‡Π΅

Всичко Π·Π° Ρ‚Π°Π·ΠΈ Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½Π° ΠΊΠ½ΠΈΠ³Π°

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 FranΓ§ois 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).

ΠžΡ†Π΅Π½ΠΊΠΈ ΠΈ ΠΎΡ‚Π·ΠΈΠ²ΠΈ

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ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ Ρ‚Π°Π·ΠΈ Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½Π° ΠΊΠ½ΠΈΠ³Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΠΊΠ°ΠΊΠ²ΠΎ мислитС.

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Π—Π° Π΄Π° Ρ‡Π΅Ρ‚Π΅Ρ‚Π΅ Π½Π° устройства с Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½ΠΎ мастило, ΠΊΠ°Ρ‚ΠΎ Π½Π°ΠΏΡ€ΠΈΠΌΠ΅Ρ€ Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½ΠΈΡ‚Π΅ Ρ‡Π΅Ρ‚Ρ†ΠΈ ΠΎΡ‚ Kobo, трябва Π΄Π° ΠΈΠ·Ρ‚Π΅Π³Π»ΠΈΡ‚Π΅ Ρ„Π°ΠΉΠ» ΠΈ Π΄Π° Π³ΠΎ ΠΏΡ€Π΅Ρ…Π²ΡŠΡ€Π»ΠΈΡ‚Π΅ Π½Π° устройството си. Π˜Π·ΠΏΡŠΠ»Π½Π΅Ρ‚Π΅ ΠΏΠΎΠ΄Ρ€ΠΎΠ±Π½ΠΈΡ‚Π΅ инструкции Π² ΠŸΠΎΠΌΠΎΡ‰Π½ΠΈΡ Ρ†Π΅Π½Ρ‚ΡŠΡ€, Π·Π° Π΄Π° ΠΏΡ€Π΅Ρ…Π²ΡŠΡ€Π»ΠΈΡ‚Π΅ Ρ„Π°ΠΉΠ»ΠΎΠ²Π΅Ρ‚Π΅ Π² ΠΏΠΎΠ΄Π΄ΡŠΡ€ΠΆΠ°Π½ΠΈΡ‚Π΅ Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½ΠΈ Ρ‡Π΅Ρ‚Ρ†ΠΈ.

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