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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.0 20120330//EN" "JATS-journalpublishing1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article"><front><journal-meta><journal-id journal-id-type="publisher-id">INFORMATICA</journal-id><journal-title-group><journal-title>Informatica</journal-title></journal-title-group><issn pub-type="epub">0868-4952</issn><issn pub-type="ppub">0868-4952</issn><publisher><publisher-name>VU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">inf14310</article-id><article-id pub-id-type="doi">10.15388/Informatica.2003.030</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research article</subject></subj-group></article-categories><title-group><article-title>Evaluation Ranges of Functions using Balanced Random Interval Arithmetic<xref ref-type="fn" rid="fn1"><sup>✩</sup></xref></article-title></title-group><contrib-group><contrib contrib-type="Author"><name><surname>Žilinskas</surname><given-names>Julius</given-names></name><email xlink:href="mailto:julius.zilinskas@ktu.lt">julius.zilinskas@ktu.lt</email><xref ref-type="aff" rid="j_INFORMATICA_aff_000"/></contrib><aff id="j_INFORMATICA_aff_000">Faculty of Informatics, Kaunas University of Technology, Studentų 50‐214b, LT‐3031, Kaunas, Lithuania</aff></contrib-group><contrib-group><contrib contrib-type="Author"><name><surname>Bogle</surname><given-names>Ian David Lockhart</given-names></name><email xlink:href="mailto:d.bogle@ucl.ac.uk">d.bogle@ucl.ac.uk</email><xref ref-type="aff" rid="j_INFORMATICA_aff_001"/></contrib><aff id="j_INFORMATICA_aff_001">Department of Chemical Engineering, University College London Gower Street, London, WC1E 6BT, UK</aff></contrib-group><author-notes><fn id="fn1"><label><sup>✩</sup></label><p>The author wishes to acknowledge the financial support through the Royal Society/NATO Postdoctoral Fellowship for the research “Stochastic Interval Methods for Process Optimisation”.</p></fn></author-notes><pub-date pub-type="epub"><day>01</day><month>01</month><year>2003</year></pub-date><volume>14</volume><issue>3</issue><fpage>403</fpage><lpage>416</lpage><history><date date-type="received"><day>01</day><month>06</month><year>2003</year></date></history><abstract><p>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.</p></abstract><kwd-group><label>Keywords</label><kwd>interval arithmetic</kwd><kwd>global optimization</kwd><kwd>multidimesional scaling</kwd></kwd-group></article-meta></front></article>