VTechWorks staff will be away for the Thanksgiving holiday beginning at noon on Wednesday, November 27, through Friday, November 29. We will resume normal operations on Monday, December 2. Thank you for your patience.
 

Using a Modified Genetic Algorithm to Find Feasible Regions of a Desirability Function

Simple item page
dc.contributor.authorWan, Wenen
dc.contributor.authorBirch, Jeffrey B.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2019-05-08T19:46:17Zen
dc.date.available2019-05-08T19:46:17Zen
dc.date.issued2011en
dc.description.abstractThe multi-response optimization (MRO) problem in response surface methodology is quite common in applications. Most of the MRO techniques such as the desirability function method by Derringer and Suich are utilized to find one or several optimal solutions. However, in fact, practitioners usually prefer to identify all of the near-optimal solutions, or all feasible regions, because some feasible regions may be more desirable than others based on practical considerations. In this paper, with benefits from the stochastic property of a genetic algorithm (GA), we present an innovative procedure using a modified GA (MGA), a computational efficient GA with a local directional search incorporated into the GA process, to approximately generate all feasible regions for the desirability function without the limitation of the number of factors in the design space. The procedure is illustrated through a case study. The MGA is also compared to other commonly used methods for determining the set of feasible regions. Using Monte Carlo simulations with two benchmark functions and a case study, it is shown that the MGA can more efficiently determine the set of feasible regions than the GA, grid methods, and the Nelder-Mead simplex algorithm.en
dc.format.extent18 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.sourceurlhttps://www.stat.vt.edu/content/dam/stat_vt_edu/graphics-and-pdfs/research-papers/Technical_Reports/TechReport11-1.pdfen
dc.identifier.urihttp://hdl.handle.net/10919/89410en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.ispartofseriesTechnical Report No. 11-1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectFeasible Regionsen
dc.subjectMulti-response Optimization (MRO)en
dc.subjectResponse Surface Methodologyen
dc.titleUsing a Modified Genetic Algorithm to Find Feasible Regions of a Desirability Functionen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
TechReport11-1.pdf
Size:
883.84 KB
Format:
Adobe Portable Document Format
Download

Collections

Technical Reports, Statistics