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

Author

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

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.

Suggested Citation

  • May, Jerrold H. & Shang, Jennifer & Tjader, Youxu Cai & Vargas, Luis G., 2013. "A new methodology for sensitivity and stability analysis of analytic network models," European Journal of Operational Research, Elsevier, vol. 224(1), pages 180-188.
    • Handle: RePEc:eee:ejores:v:224:y:2013:i:1:p:180-188
    DOI: 10.1016/j.ejor.2012.07.035
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    Cited by:

    1. Kellner, Florian & Lienland, Bernhard & Utz, Sebastian, 2019. "An a posteriori decision support methodology for solving the multi-criteria supplier selection problem," European Journal of Operational Research, Elsevier, vol. 272(2), pages 505-522.
    2. Caporale, Diana & Sangiorgio, Valentino & Amodio, Alessandro & De Lucia, Caterina, 2020. "Multi-criteria and focus group analysis for social acceptance of wind energy," Energy Policy, Elsevier, vol. 140(C).
    3. M. Gabriela Sava & Luis G. Vargas & Jerrold H. May & James G. Dolan, 2022. "Multi-dimensional stability analysis for Analytic Network Process models," Annals of Operations Research, Springer, vol. 316(2), pages 1401-1424, September.
    4. Theißen, Sebastian & Spinler, Stefan, 2014. "Strategic analysis of manufacturer-supplier partnerships: An ANP model for collaborative CO2 reduction management," European Journal of Operational Research, Elsevier, vol. 233(2), pages 383-397.
    5. M. Gabriela Sava & Luis G. Vargas & Jerrold H. May & James G. Dolan, 2020. "An analysis of the sensitivity and stability of patients’ preferences can lead to more appropriate medical decisions," Annals of Operations Research, Springer, vol. 293(2), pages 863-901, October.

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