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Sensitivity concepts in the analytic hierarchy process

Posted on:1995-07-15Degree:Ph.DType:Dissertation
University:Kansas State UniversityCandidate:Sanchez, AlfonsoFull Text:PDF
GTID:1479390014991212Subject:Operations Research
Abstract/Summary:
This work is an extension of the sensitivity study done by Masuda (1990), Sanchez (1992), and Bagchi and Rao (1992) on the Analytical Hierarchy Process (AHP). Masuda dealt with the mapping of the final priority vectors onto an outcome space using area and a computed numerical value as a criteria of sensitivity.; The research described in this dissertation presents a new concept of sensitivity, which deals with the smallest change needed to alter one element of the input decision matrices in order to alter the ranking of two alternatives. The change is considered in both absolute or relative terms. The goal is to find the switchover points, where a rank reversal occurs. A methodology is developed for finding the most sensitive element in each input decision matrix.; A Bagchi and Rao example was used to compare/contrast the Masuda and Sanchez methods.
Keywords/Search Tags:Sensitivity, Masuda
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