Abstract: Multivariate approximation and optimization appear in modeling real systems. The aim of this lecture is to present new algorithms and computational techniques for solving practical problems of approximation an optimization and to make a comparison between them. In the first part, genetic algorithms, ant and wasp behaviour algorithms are taking into account and applied to agent-based approaches to manufacturing scheduling and control in distributed manufacturing systems and to adaptive multiagent systems.
In the second part we present new results in multivariate interpolation and polyspline and their applications in image processing and classification theory.
A reformulation of the problem of multivariate interpolation which allows the use of methods taken from artificial intelligence make a connection between the two parts of the presentation.
As a conclusion, problems from many other fields, like chemistry, biology, medicine which can be solve using the presented algorithms and techniques are presented.

 

Brief Biography of the Speaker:
Dana Simian received the diploma. in engineering from the University of Sibiu, Romania, the diploma. in Mathematics - Informatics from the University Babes-Bolyai of Cluj-Napoca, Romania and the Ph.D. in Mathematics from Babes-Bolyai University of Cluj- Napoca, She is Assoc. Prof. to the Department of Computer Science, Faculty of Sciences, University Lucian Blaga of Sibiu, Romania. She has a great experience in algorithms and numerical methods for modelling and optimization. She organized two special sessions within WSEAS conferences and an international workshop on topics related to modeling, approximation and optimization. She was a member of many scientific committees of international conferences. She has published more than 40 papers on a wide variety of subjects relating to multivariate interpolation, optimization, modeling, multiagent systems. She is co-editor of 4 WSEAS book series. She is author of 10 scientific books. She has been included in “Who is Who in the World” in 2006. She participated in many research grants.