Open Access. Powered by Scholars. Published by Universities.®

Business Commons

Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics

Research Collection Lee Kong Chian School Of Business

2004

Articles 1 - 2 of 2

Full-Text Articles in Business

Chaos-Induced Escape Over A Potential Barrier, L. Y. Chew, Hian Ann, Christopher Ting, C. H. Lai Oct 2004

Chaos-Induced Escape Over A Potential Barrier, L. Y. Chew, Hian Ann, Christopher Ting, C. H. Lai

Research Collection Lee Kong Chian School Of Business

We investigate the statistical parity of a class of chaos-generated noises on the escape of strongly damped particles out of a potential well. We show that statistical asymmetry in the chaotic fluctuations can lead to a skewed Maxwell–Boltzmann distribution in the well. Depending on the direction of skew, the Kramers escape rate is enhanced or suppressed accordingly. Based on the Perron–Frobenious equation, we determine an analytical expression for the escape rate’s prefactor that accounts for this effect. Furthermore, our perturbative analysis proves that in the zeroth-order limit, the rate of particle escape converges to the Kramers rate.


Parameter Selection In Genetic Algorithms, Onur Boyabatli, Ihsan Sabuncuoglu Jan 2004

Parameter Selection In Genetic Algorithms, Onur Boyabatli, Ihsan Sabuncuoglu

Research Collection Lee Kong Chian School Of Business

In this study, we provide a new taxonomy of parameters of genetic algorithms (GA), structural and numerical parameters, and analyze the effect of numerical parameters on the performance of GA based simulation optimization applications with experimental design techniques. Appropriate levels of each parameter are proposed for a particular problem domain. Controversial to existing literature on GA, our computational results reveal that in the case of a dominant set of decision variable the crossover operator does not have a significant impact on the performance measures, whereas high mutation rates are more suitable for GA applications.