Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. 
Home Multivariate Data Optimization Introduction  
See also: phase space, response function, Simplex Algorithm  
Optimization  IntroductionOptimization problems are arising in nearly all fields of science and
technology. Therefore the range of problems is huge and a large number
of possible approaches for solutions are available. Here are some examples
of optimization problems:
A mathematician has to optimize the bus schedule of a city. The timing of the buses has to be optimized considering several constraints: a minimum number of buses per hour; optimum alignment of the departure times to the higher order railway and subway system; unusual traffic densities at certain locations which may slow down the buses; .... An analytical chemist has to set up a mass spectrometer
for high resolution measurements. One of the prerequisites is that the
voltages at the deflection lenses of the ion accelerator have to be set
in a way that the ion beam shows a rectangular crosssection with uniform
ion density.


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