Evaluation Ranges of Functions using Balanced Random Interval Arithmetic

Authors:
Julius Žilinskas_thauth;Ian David Lockhart Bogle
Affiliations:
Faculty of Informatics, Kaunas University of Technology, Studentų 50-214b, LT-3031, Kaunas, Lithuania, e-mail: julius.zilinskas@ktu.lt;Department of Chemical Engineering, University College London Gower Street, London, WC1E 6BT, UK, e-mail: d.bogle@ucl.ac.uk
Venue:
Informatica
Year:
2003

Citing 4
Cited 7

Experiments on the evaluation of functional ranges using a random interval arithmetic

Mathematics and Computers in Simulation
Global Interval Methods for Local Nonsmooth Optimization

Journal of Global Optimization
Multisection in Interval Branch-and-Bound Methods for Global Optimization – I. Theoretical Results

Journal of Global Optimization
Multisection in Interval Branch-and-Bound Methods for Global Optimization II. Numerical Tests

Journal of Global Optimization

Comparison of Packages for Interval Arithmetic

Informatica
Estimation of Functional Ranges Using Standard and Inner Interval Arithmetic

Informatica
Branching and bounds tighteningtechniques for non-convex MINLP

Optimization Methods & Software - GLOBAL OPTIMIZATION
A review of recent advances in global optimization

Journal of Global Optimization
Numerical health check of industrial simulation codes from HPC environments to new hardware technologies

PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
On efficiency of tightening bounds in interval global optimization

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
The evolutionary random interval fingerprint for a more secure wireless communication

Mobile Information Systems

Quantified Score

Hi-index	0.00

Visualization

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