Description |
1 online resource (213 pages) |
Series |
Studies in systems, decision and control ; volume 331 |
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Studies in systems, decision and control ; v. 331.
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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.
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Dynamic programming.
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Combinatorial optimization
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Dynamic programming
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Programació dinàmica.
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Optimització combinatòria.
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Genre/Form |
Llibres electrònics.
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Form |
Electronic book
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Author |
Moshkov, Mikhail, author
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ISBN |
9783030639204 |
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3030639207 |
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