Dynamic Programming Multi-Objective Combinatorial Optimization

di Michal Mankowski (Autore)

Mikhail Moshkov (Autore)

Springer Nature Switzerland AG, 2022

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.

• Autore: Michal Mankowski, Mikhail Moshkov
• Editore: Springer Nature Switzerland AG
• Collana: Studies in Systems, Decision and Control
• Anno: 2022
• Rilegatura: Paperback / softback
• Pagine: 214 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783030639228

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