Global optimisation

Predicting structures of compounds in the solid state by the global optimisation approach... 

However, it would be very time-consuming to perform a global optimisation, especially in the latter case. But, since usually many promising structure candidates have already been accumulated at this point, one would restrict oneself to essentially local minimisations for each structure type. 

For an in-depth discussion of the many aspects involved in choosing an empirical potential for the purpose of structure prediction using global optimisation methods, see ref. 51. 

Design of constrained nonlinear model predictive control based on global optimisation... 

Keywords orthogonal collocation, finite elements, dynamic optimisation, global optimisation, CNMPC... 

Here only deterministie methods for global optimisation are considered. They are based on the generation of eonvex relaxations of the original non-eonvex problem (2). Numerous methods have been proposed for eonstrueting sueh relaxations [5-9]. In this work, the branch-and-bound method [5, 6, 10, 11] is exploited to guarantee the global optimality within e-toleranee to the solution of the non-eonvex NLP problem (2). 

Figure 1 Closed-loop results obtained with local and global optimisation...

In order to demonstrate the benefits of the global optimisation method over the loeal optimisation, setpoint transitions to track and disturbance loads to reject are generated as follows. The setpoint transitions are obtained by stepping the concentration from 1.1 to ImolT at time O O h and then to O.SmolT at time (first curve in Fig. 1). In the same way the disturbance loads are... 

The global optimisation method leads to two sigjirficant improvements in setpoint tracking visible at setpoint changing times If 05h and 0 5h gj-gj... 

GARP Globally-optimised, alternating phase, rectangular pulses (for broadband decoupling) 9.2... 

For a global optimisation problem the simulated annealing method is applicable with the following specifications [10, 11] ... 

Grosmann, I. E, (Editor), 1996, Global Optimisation in Engineering Design, Kluwer Publ. 

Kocis, G.R. and Grossmann, I.E. (1988) Global optimisation of nonconvex mixed-integer non linear programming (MINLP) problems in process synthesis. Industrial Engineering Chemistry Research, 27 (8), 1407-1421. 

Crowe, A., and Jack, M. A. A globally optimising format tracker using generahsed cevixoiAs. Electronics Letters 23 (1987), 1019-1020. 

Na, S., 2008. Global optimisation of mould fiUing parameters during the constant speed injection compression moulding process . Master s of Engineering thesis. University of Auckland. 

The second section deals with the analysis methods that are used in fuzzy finite element analysis. An overview of different approaches is presented first the transformation method, affine analysis, and global optimisation. The application to dynamic analysis is considered. The core of this section is the presentation of a consistent analysis approach to predict the effect of parameter uncertainties on different characteristics of dynamic behaviour of structures, resonance frequencies and dynamic response levels. A hybrid approach is developed, based on modal superposition and optimisation. 

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