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Iterated Local Search Approaches for Maximin Latin Hypercube Designs

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dc.contributor.advisor Jamali, Prof. Dr. A. R. M. Jalal Uddin
dc.contributor.author Dey, Aparna
dc.date.accessioned 2018-08-13T20:36:12Z
dc.date.available 2018-08-13T20:36:12Z
dc.date.copyright 2012
dc.date.issued 2012-07
dc.identifier.other ID 851551
dc.identifier.uri http://hdl.handle.net/20.500.12228/375
dc.description This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics, July 2012. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 78-84).
dc.description.abstract Many scientific phenomena are now investigated by experimental design. In the field of experimental design problems we consider maximin Latin Hypercube Designs (LHDs). Problems are formulated as optimization ones. Optimal Latin Hypercube designs has good space-filling as well as non-collapsing properties, is widely used experimental design. Here, we consider Iterated Local search (ILS) heuristic approach to obtain optimized (maximin) LHD in Euclidian distance measure. There is another important property required in experimental design is the multicollinearity. Since if two factors are correlated then it will not be possible to distinguish between the effects of the two factors based on this experiment. There are procedures to find good LHDs by minimizing the pair-wise correlation or maximizing the intersite distances. Several experiments are performed to compare our results with available ones in the literature. Many improvements, regarding maximin LHD, are obtained. Extensive experiments have been also performed to analyze the multicollinearity of the optimal LHDs. Some other structural information of the optimal (maximin) LHDs obtained by the ILS approach are analyzed. Finally experimentally it has been shown that the maximin LHDs obtained by ILS is the state of arts regarding space-filling as well as non-collapsing properties and comparable regarding multicollinearity property. Moreover the dependency among the factors of the experimental design obtained by ILS approach is negligible for large value of design points. en_US
dc.description.statementofresponsibility Aparna Dey
dc.format.extent 84 pages
dc.language.iso en_US en_US
dc.publisher Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh. en_US
dc.rights Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission.
dc.subject Local Search en_US
dc.subject Maximin Latin Hypercube Designs en_US
dc.title Iterated Local Search Approaches for Maximin Latin Hypercube Designs en_US
dc.type Thesis en_US
dc.description.degree Master of Philosophy in Mathematics
dc.contributor.department Department of Mathematics


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