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An Introduction to Robust Combinatorial Optimization [electronic resource] : Concepts, Models and Algorithms for Decision Making under Uncertainty / by Marc Goerigk, Michael Hartisch.

By: Contributor(s): Material type: TextSeries: International Series in Operations Research & Management Science ; 361Publisher: Cham : Springer Nature Switzerland : Imprint: Springer, 2024Edition: 1st ed. 2024Description: XII, 308 p. 87 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783031612619
Subject(s):
Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleLOC classification:
  • T57.6-.97
Online resources:
Contents:
1. Introduction -- 2. Basic Concepts -- 3. Robust Problems -- 4. General Reformulation Results -- 5. General Solution Methods -- 6. Robust election Problems -- 7. Robust Shortest Path Problems -- 8. Robust Spanning Tree Problems -- 9. Other Combinatorial Problems -- 10. Other Models for Robust Optimization -- 11. Open Problems.
In: Springer Nature eBookSummary: This book offers a self-contained introduction to the world of robust combinatorial optimization. It explores decision-making using the min-max and min-max regret criteria, while also delving into the two-stage and recoverable robust optimization paradigms. It begins by introducing readers to general results for interval, discrete, and budgeted uncertainty sets, and subsequently provides a comprehensive examination of specific combinatorial problems, including the selection, shortest path, spanning tree, assignment, knapsack, and traveling salesperson problems. The book equips both students and newcomers to the field with a grasp of the fundamental questions and ongoing advancements in robust optimization. Based on the authors’ years of teaching and refining numerous courses, it not only offers essential tools but also highlights the open questions that define this subject area.
Item type: List(s) this item appears in: Titluri cărți electronice Springer Nature 2025 (10631 titluri)
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1. Introduction -- 2. Basic Concepts -- 3. Robust Problems -- 4. General Reformulation Results -- 5. General Solution Methods -- 6. Robust election Problems -- 7. Robust Shortest Path Problems -- 8. Robust Spanning Tree Problems -- 9. Other Combinatorial Problems -- 10. Other Models for Robust Optimization -- 11. Open Problems.

This book offers a self-contained introduction to the world of robust combinatorial optimization. It explores decision-making using the min-max and min-max regret criteria, while also delving into the two-stage and recoverable robust optimization paradigms. It begins by introducing readers to general results for interval, discrete, and budgeted uncertainty sets, and subsequently provides a comprehensive examination of specific combinatorial problems, including the selection, shortest path, spanning tree, assignment, knapsack, and traveling salesperson problems. The book equips both students and newcomers to the field with a grasp of the fundamental questions and ongoing advancements in robust optimization. Based on the authors’ years of teaching and refining numerous courses, it not only offers essential tools but also highlights the open questions that define this subject area.

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