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Two Applications Involving the Analytic Hierarchy Process

dc.contributor.advisorGolden, Bruce Len_US
dc.contributor.authorAlford, Brian Daviden_US
dc.description.abstractThe analytic hierarchy process (AHP) is a popular tool used in decision making for ranking alternatives based on quantitative and qualitative criteria. In this thesis, we investigate two applications involving the AHP: determining the greatest sports records and generating priority vectors for inconsistent interval judgments. We determine rankings of the greatest active single-season, career, and single-event sports records by applying the ratings mode of the AHP. In addition, we present an extension to a linear programming method used for generating priority vectors for interval pairwise comparison matrices. By introducing multiplicative stretch factors for each interval comparison, our linear programming method with stretching can be used to solve problems when inconsistent interval judgments are present. We describe the linear programming method, apply it to three problems, and compare its performance to other methods for solving inconsistent interval AHP problems.en_US
dc.format.extent473451 bytes
dc.titleTwo Applications Involving the Analytic Hierarchy Processen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentApplied Mathematics and Scientific Computationen_US
dc.subject.pqcontrolledOperations Researchen_US
dc.subject.pquncontrolledsports recordsen_US
dc.subject.pquncontrolledinconsistent interval AHPen_US

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