Deterministic global optimization modeling

We start with continuous variable optimization and consider in the next section the solution of NLP problems with differentiable objective and constraint functions. If only local solutions are required for the NLP problem, then very efficient large-scale methods can be considered. This is followed by methods that are not based on local optimality criteria we consider direct search optimization methods that do not require derivatives as well as deterministic global optimization methods. Following this, we consider the solution of mixed integer problems and outline the main characteristics of algorithms for their solution. Finally, we conclude with a discussion of optimization modeling software and its implementation on engineering models. 

Floudas, C.A. (2000) Deterministic Global Optimization - Theory, Methods and Applications, Kluwer Academic Publishers, DordrechtFontalvo, J. (2014) Using user models in MATLAB within the aspen plus interface with an excel link. Ingenieria EInvestigacion, 34 (2), 39-43. 

In the sequel, we first outline the basics of the deterministic global optimization approach, aBB, which has been used extensively to study the protein structure prediction, dynamics of protein-protein folding, and protein docking problems. This is followed by a comprehensive study of ab initio modeling for structure prediction of single-chain polypeptides in Section III. An... 

DETERMINISTIC GLOBAL OPTIMIZATION AND AB INITIO APPROACHES 339 1. Energy Modeling... 

Our approach couples the modeling of energetic interactions and deterministic global optimization approaches and can predict the pockets of HLA-DR3 and with small (RMS) differences. 

In particular, this review has focused on the use of ab initio models, which give rise to a series of complex mathematical problems. A second important component has been the application of deterministic global optimization, namely the aBB algorithm, for solving the resulting problems. In this review we have analyzed and discussed many issues related to the modeling of protein... 

Martel et al. (2005) propose a single-period, deterministic, multiple-product MILP model specifically developed for optimization of global pulp and paper supply chains. Based on the characteristics of pulp and paper supply chains two production echelons, one distribution echelon and... 

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