A new methodology for sensitivity and stability analysis of analytic network models

Jerrold H. May, Jennifer Shang, Youxu Cai Tjader and Luis G. Vargas

European Journal of Operational Research, 2013, vol. 224, issue 1, 180-188

Abstract: In this paper we develop a methodology to study the sensitivity and the stability of models built using the Analytic Network Process. We study two types of stability: core and solution stability. The former deals with finding the region of the perturbation space in which the initial solution (i.e., the alternative that is ranked first) obtained from the ANP model remains most preferred. The latter deals with finding the regions of the perturbation space in which the solutions that were not initially most preferred (i.e., alternatives that were not ranked first) become most preferred (i.e., they are ranked first). The methodology consists of three stages: generation of the perturbation space, finding the boundaries of the regions in the perturbation space in which the different alternatives are ranked first, and finding the stability regions.

Keywords: Analytic Network Process; Sensitivity analysis; Stability analysis; Euclidean centers (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:224:y:2013:i:1:p:180-188

DOI: 10.1016/j.ejor.2012.07.035

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