Decision theory: multicriteria techniques in multilevel optimization
Calice Olivier Pieume
Broschiertes Buch

Decision theory: multicriteria techniques in multilevel optimization

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The book addresses two important classes of optimization: multiobjective optimization and bi-level optimization. First, we develop a procedure for solving Multiple Objective Linear Programming. The method is based on a new characterization of efficient faces. It's exploits the connectedness property of the set of ideal tableaux associated to degenerate points in case of degeneracy. We also develop an approach for solving Bilevel Linear Programming Problems. It is based on the result that an optimal solution of the problem is reachable at an extreme point of the underlying region. Some applicat...