Dynamic Programming Multi-Objective Combinatorial Optimization
2021 ed.
Book Details
Format
Paperback / Softback
Book Series
Studies in Systems, Decision and Control
ISBN-10
3030639223
ISBN-13
9783030639228
Edition
2021 ed.
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 10th, 2022
Print length
214 Pages
Ksh 25,200.00
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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.
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