Dynamic Programming Multi-Objective Combinatorial Optimization (eBook)

Michal Mankowski, Mikhail Moshkov (Autoren)

eBook Download: PDF

2021
XIV, 214 Seiten
Springer International Publishing (Verlag)
978-3-030-63920-4 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 8.2.2021
• Reihe/Serie: Studies in Systems, Decision and Control
• Reihe/Serie: Studies in Systems, Decision and Control
• Zusatzinfo: XIV, 214 p. 67 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
• Themenwelt: Technik
• Schlagworte: Circuits • Dynamic Programming • Global Sequence Alignment • Matrix Chain Multiplication • Multi-objective Combinatorial Optimization
• ISBN-10: 3-030-63920-7 / 3030639207
• ISBN-13: 978-3-030-63920-4 / 9783030639204