@article{1433851, author = {Mankowski, Michal, and Moshkov, Mikhail,}, url = {http://library.usi.edu/record/1433851}, title = {Dynamic programming multi-objective combinatorial optimization /}, abstract = {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.}, doi = {https://doi.org/10.1007/978-3-030-63920-4}, recid = {1433851}, pages = {1 online resource (213 pages)}, }