Int. J. Simul. Multidisci. Des. Optim.
Volume 4, Number 2, April 2010
|Page(s)||85 - 100|
|Published online||21 July 2011|
A Procedure of Global Optimization and its Application to Estimate Parameters in Interaction Spatial Models
Universidade do Vale do Itaja – UNIVALI, Rodovia SC 407, Km 04, CEP 88122-000, São José/SC, Brazil
2 Universidade Federal de Santa Catarina – UFSC, Depto de Engenharia de Produção e Sistemas, 88010-970, Florianópolis/SC, Brazil
3 LMR – INSA – Rouen, Avenue de l'Université BP 8, Saint-Etienne du Rouvray, FR-76801, France
Corresponding author: email@example.com
Accepted: 30 March 2010
This work concerns the calibration of trip distribution models issued from Transportation Planning. The optimal estimators are the global minima of a non-convex function. A mathematical result establishes that the solution is the limit of a sequence of means of convenient random variables. A population-based global optimization involving this representation and random perturbations of a local descent method is applied. Experiments are performed on classical test functions. In the application to the models of trip distribution, 4 sets of data, including real data are used. The results show that the use of the representation of the solution leads to a significant improvement and increases the robustness.
Key words: Global Optimization / Parameter Estimation / Calibration / Spatial Interaction Models
© ASMDO, 2010
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