Dynamic Programming Multi-Objective Combinatorial Optimization (Studies in Systems, Decision and Control, 331)

Mankowski, Michal, Moshkov, Mikhail

ISBN 10: 3030639193 / ISBN 13: 9783030639198

Verlag: Springer, 2021

Beschreibung

New.

Bestandsnummer des Verkäufers D8F0-0-M-3030639193-6

Bibliografische Details

• Titel: Dynamic Programming Multi-Objective Combinatorial Optimization (Studies in Systems, Decision and Control, 331)
• Verlag: Springer
• Veröffentlichungsdatum: 2021
• Sprache: Englisch
• ISBN-10: 3030639193
• ISBN-13: 9783030639198
• Bindung: Hardcover
• Zustand: New
• Buchtyp: book

Über diesen Titel

Inhaltsangabe

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.