Advanced Optimization Methods and Applications

Advanced Methods of Stochastic and Optimization in Industrial Applications

In real case applications within the virtual prototyping process, it is not always possible to reduce the complexity of the physical models and to obtain numerical models which can be solved quickly. Usually, every single numerical simulation takes hours or even days. Although the progresses in numerical methods and high performance computing, in such cases, it is not possible to explore variou...

Guest Editorial: Advanced Combinatorial Optimization and Applications

Biographical notes: Dr. Said Ben Messaoud received his Diploma of “Maîtrise” in Applied Mathematics from the Faculty of Sciences of Monastir in 1998, his MS degree from the INPGGrenoble, in 2000 and his PhD degree in Optimization in 2004 from the Technology University of Troyes. He is a Assistant Professor at the Higher Institute for Informatics and Mathematics of Monastir-Tunisia. His research...

Sequential Methods and Their Applications

Advances in Global Optimization: Methods and Applications

Semi-deteministic optimization methods We consider with : J Ω → Ω ⊂. We make the following assump tions: 1 (,) J C ∈ Ω and is coercive. The infimum of J is denoted by J m (when J m is unknown, we set J m to a low value). Many deterministic minimization algorithms can be seen as discrete dynamical systems coming from the discretization of first or second order Cauchy problems. On the other hand,...

Optimization On Manifolds: Methods And Applications

This paper provides an introduction to the topic of optimization on manifolds. The approach taken uses the language of differential geometry, however, we choose to emphasise the intuition of the concepts and the structures that are important in generating practical numerical algorithms rather than the technical details of the formulation. There are a number of algorithms that can be applied to ...