Global optimization techniques

This criterion resumes all the a priori knowledge that we are able to convey concerning the physical aspect of the flawed region. Unfortunately, neither the weak membrane model (U2 (f)) nor the Beta law Ui (f)) energies are convex functions. Consequently, we need to implement a global optimization technique to reach the solution. Simulated annealing (SA) cannot be used here because it leads to a prohibitive cost for calculations [9]. We have adopted a continuation method like the GNC [2]. 

The only density estimators discussed in the protein literature are histogram estimates. However, these are nonsmooth and thus not suitable for global optimization techniques that combine local and global search. Moreover, histogram estimates have, even for an optimally chosen bin size, the extremely poor accuracy of only, for a sample of size n. The theo-... 

We have applied a global optimization technique, based on interval analysis, to the high-pressure phase equilibrium problem (INTFLASH). It does not require any initial guesses and is guaranteed, both mathematically and computationally, to converge to the correct solution. The interval analysis method and its application to phase equilibria using equation-of-state... 

The real challenge for the future is providing the framework within which the results of extensive computer simulation can be interpreted and put to use. The solution will not be found by simply relying on global optimization techniques, because they have to be provided with well-specified cost functions, which are not easy to determine from the start, and with only a limited number of input variables over which to optimize. The greater the complexity with which a simulation can be carried out, the greater the number... 

In the next section of this chapter we formalize the clustering optimization problem. This formalization allows us to apply simulated annealing as a global optimization technique, which we describe in Section 3. Section 4 provides examples of the use of simulated annealing clustering algorithms and the importance of internal clustering criteria to these techniques. Section 5 contains our conclusions. 

Rangaiah, G.P. (ed.) (2010) Stochastic Global Optimization Techniques and Applications in Chemical... 

Poplewski, G. and Jezowski, J.M. (2010) Application of adaptive random search optimization for solving industrial water allocation problem, in Stochastic Global Optimization Techniques and Applications in Chemical Engineering (ed. G.P. Rangaiah), World Scientific, Singapore. 

Kramer, A., Hiilsmann, M., Koddermann, T., Reith, D. Automated paiamehaization of intermolecular pair potentials using global optimization techniques. Comput. Phys. Commun. 185, 3228-3239 (2014)... 

Keywords. Scattering parameters the input impedance of the cable Impedance Spectroscopy global optimization technique wire fault location... 

Section 2 explains the model-based approach for localization of cable faults. Section 3 describes the modeling of the transmission line. In Section 4 the parameter extraction using global optimization techniques is described. Section 5 gives the results and analysis. Section 6 gives the conclusion. 

In this study the measured and simulated data of the input impedance of a coaxial cable in the frequency domain are applied to locate wire fault and identify the type of wire fault. The global optimization technique DE is applied to solve the inverse problem because of its good performance of the minimum-seeking and an efficient working with numerically experimental data [30]-[32]. 

The forward model was then combined with a global optimization technique. In this study DE are applied to formulate and solve the problem of optimal fault detection because of its short computational time. Finally, the inverse approach is easily generalized to handle the parameters of forward model and locate the wire fault. Thus, we have presented a truly generalized measurement system applicable to the characterization of IS based wire fault detection. 

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