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Book Cover
E-book
Author Mankowski, Michal, author

Title Dynamic programming multi-objective combinatorial optimization / Michal Mankowski, Mikhail Moshkov
Published Cham : Springer, [2021]

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Description 1 online resource (213 pages)
Series Studies in systems, decision and control ; volume 331
Studies in systems, decision and control ; v. 331.
Contents 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
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Combinatorial optimization.
Dynamic programming.
Combinatorial optimization
Dynamic programming
Programació dinàmica.
Optimització combinatòria.
Genre/Form Llibres electrònics.
Form Electronic book
Author Moshkov, Mikhail, author
ISBN 9783030639204
3030639207