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Design of Heuristic Algorithms for Hard Optimization : With Python Codes for the Travelling Salesman Problem / by Éric D. Taillard.

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Format:
Book
Author/Creator:
Taillard, Éric D., Author.
Series:
Graduate Texts in Operations Research, 2662-6020
Language:
English
Subjects (All):
Operations research.
Mathematical optimization.
Mathematics—Data processing.
Algorithms.
Artificial intelligence.
Operations Research and Decision Theory.
Optimization.
Computational Mathematics and Numerical Analysis.
Computational Science and Engineering.
Artificial Intelligence.
Local Subjects:
Operations Research and Decision Theory.
Optimization.
Computational Mathematics and Numerical Analysis.
Algorithms.
Computational Science and Engineering.
Artificial Intelligence.
Physical Description:
1 online resource (XV, 287 p. 1 illus.)
Edition:
1st ed. 2023.
Place of Publication:
Cham Springer Nature 2023
Cham : Springer International Publishing : Imprint: Springer, 2023.
Language Note:
English
Summary:
This open access book demonstrates all the steps required to design heuristic algorithms for difficult optimization. The classic problem of the travelling salesman is used as a common thread to illustrate all the techniques discussed. This problem is ideal for introducing readers to the subject because it is very intuitive and its solutions can be graphically represented. The book features a wealth of illustrations that allow the concepts to be understood at a glance. The book approaches the main metaheuristics from a new angle, deconstructing them into a few key concepts presented in separate chapters: construction, improvement, decomposition, randomization and learning methods. Each metaheuristic can then be presented in simplified form as a combination of these concepts. This approach avoids giving the impression that metaheuristics is a non-formal discipline, a kind of cloud sculpture. Moreover, it provides concrete applications of the travelling salesman problem, which illustrate in just a few lines of code how to design a new heuristic and remove all ambiguities left by a general framework. Two chapters reviewing the basics of combinatorial optimization and complexity theory make the book self-contained. As such, even readers with a very limited background in the field will be able to follow all the content.
Contents:
Part I: Combinatorial Optimization, Complexity Theory and Problem Modelling
1. Elements of Graphs and Complexity Theory
2. A Short List of Combinatorial Optimization Problems
3. Problem Modelling
Part II: Basic Heuristic Techniques
4. Constructive Methods
5. Local Search
6. Decomposition Methods
Part III: Popular Metaheuristics
7. Randomized Methods
8. Construction Learning
9. Local Search Learning
10. Population Management
11. Heuristics Design
12. Codes.
ISBN:
3-031-13714-0
OCLC:
1351747018

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