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Graph-related Optimization and Decision Theory (Hardcover)
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Graph-related Optimization and Decision Theory (Hardcover)
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Constrained optimization is a challenging branch of operations
research that aims to create a model which has a wide range of
applications in the supply chain, telecommunications and medical
fields. As the problem structure is split into two main components,
the objective is to accomplish the feasible set framed by the
system constraints. The aim of this book is expose optimization
problems that can be expressed as graphs, by detailing, for each
studied problem, the set of nodes and the set of edges. This graph
modeling is an incentive for designing a platform that integrates
all optimization components in order to output the best solution
regarding the parameters' tuning. The authors propose in their
analysis, for optimization problems, to provide their graphical
modeling and mathematical formulation and expose some of their
variants. As a solution approaches, an optimizer can be the most
promising direction for limited-size instances. For large problem
instances, approximate algorithms are the most appropriate way for
generating high quality solutions. The authors thus propose, for
each studied problem, a greedy algorithm as a problem-specific
heuristic and a genetic algorithm as a metaheuristic.
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