Dynamic Programming Multi-Objective Combinatorial Optimization

Dynamic Programming Multi-Objective Combinatorial Optimization

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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 multiplicatio...