Dynamic Programming Multi-Objective Combinatorial Optimization

von Michal Mankowski, Mikhail Moshkov

214 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Studies in Systems, Decision and Control
• Themen: Informatik und Informationstechnologie Informatik Künstliche Intelligenz (KI)
• ISBN: 9783030639228
• Sprache: Englisch
• Erscheinungsdatum: 10.02.2022
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing