Dynamic Programming Multi-Objective Combinatorial Optimization

1. Auflage 2021
ISBN: 978-3-030-63922-8
Verlag: Springer International Publishing

Buch, Englisch, 214 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 353 g

Reihe: Studies in Systems, Decision and Control

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.

Zielgruppe

Research

Autoren/Hrsg.

Moshkov, Mikhail

Mankowski, Michal

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz

Inhaltsverzeichnis

Introduction.- Circuits Without Repetitions. Main Tools.- Combinatorial Optimization Problems. Conventional Circuits.- Multi-Stage and Bi-Criteria Optimization of Matchings in Trees.- Combinatorial Optimization Problems. Syntactical Circuits.- Index.