Dynamic Programming Multi-Objective Combinatorial Optimization
Mankowski, Michal, Moshkov, Mikhail
Produktnummer:
188a8d202e88984b45914160e6e8fe0307
| Autor: | Mankowski, Michal Moshkov, Mikhail |
|---|---|
| Themengebiete: | Circuits Dynamic Programming Global Sequence Alignment Matrix Chain Multiplication Multi-objective Combinatorial Optimization |
| Veröffentlichungsdatum: | 10.02.2022 |
| EAN: | 9783030639228 |
| Sprache: | Englisch |
| Seitenzahl: | 214 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Dynamic Programming Multi-Objective Combinatorial Optimization"
This book introduces a fairly universal approach to the design and analysis of exact optimization algorithms for multi-objective combinatorial optimization problems. It proposes the circuits without repetitions representing the sets of feasible solutions along with the increasing and strictly increasing cost functions as a model for such problems. The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model.As applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in directed graphs, binary search trees, convex polygon triangulation, line breaking (text justification), one-dimensional clustering, optimal bitonic tour, segmented least squares, optimization of matchings in trees, and 0/1 knapsack problem.The results presented are useful for researchers in combinatorial optimization. This book is also useful as the basis for graduate courses.
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