Titlebook: Optimization of Complex Systems: Theory, Models, Algorithms and Applications; Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh Conference proceed

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A B-Spline Global Optimization Algorithm for Optimal Power Flow Problem this new approach is shown on a real-world 3-bus power system. The numerical results obtained with this new approach for this problem a 3-bus system reveal a satisfactory improvement in terms of optimality when compared against traditional interior-point method based MATPOWER toolbox. Similarly, th

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Discrete Interval Adjoints in Unconstrained Global OptimizationFor computing these derivatives we combine the . interval library and the algorithmic differentiation tool .. The differentiation tool also computes the required floating-point derivatives for a local search algorithm that is embedded in our branch and bound implementation. First results are promisi

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Diving for Sparse Partially-Reflexive Generalized Inversesinverses have been studied. One such family is based on relaxing the well-known Moore-Penrose properties. One of those properties is non-linear, and so we develop a convex-programming relaxation and an associated “diving” heuristic to achieve a good trade-off between sparsity and satisfaction of the

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Filtering Domains of Factorable Functions Using Interval Contractorsem and the mean value theorem underlie many interval methods like Newton operators for solving numerical constraint satisfaction problems or global optimization problems. Since the continuity property collapses when the function is not defined at some point it is then important to check whether the

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