Evaluation Ranges of Functions using Balanced Random Interval Arithmetic

Article type: Research Article

Authors: Žilinskas, Julius | Bogle, Ian David Lockhart

Affiliations: Faculty of Informatics, Kaunas University of Technology, Studentų 50‐214b, LT‐3031, Kaunas, Lithuania, e‐mail: [email protected] | Department of Chemical Engineering, University College London Gower Street, London, WC1E 6BT, UK, e‐mail: [email protected]

Note: [] The author wishes to acknowledge the financial support through the Royal Society/NATO Postdoctoral Fellowship for the research “Stochastic Interval Methods for Process Optimisation”.

Abstract: The results of experimental testing of balanced random interval arithmetic with typical mathematical test functions and practical problem are presented and discussed. The possibility of evaluation ranges of functions using balanced random interval arithmetic is investigated. The influence of the predefined probabilities of standard and inner interval operations to the ranges of functions is experimentally investigated.

Keywords: interval arithmetic, global optimization, multidimesional scaling

Journal: Informatica, vol. 14, no. 3, pp. 403-416, 2003