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

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

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 224 (2013)
    Issue (Month): 1 ()
    Pages: 180-188

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    Handle: RePEc:eee:ejores:v:224:y:2013:i:1:p:180-188

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Analytic Network Process; Sensitivity analysis; Stability analysis; Euclidean centers;

    References

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    1. Paulson, Dan & Zahir, Sajjad, 1995. "Consequences of uncertainty in the analytic hierarchy process: A simulation approach," European Journal of Operational Research, Elsevier, vol. 87(1), pages 45-56, November.
    2. Lipovetsky, Stan & Tishler, Asher, 1999. "Interval estimation of priorities in the AHP," European Journal of Operational Research, Elsevier, vol. 114(1), pages 153-164, April.
    3. Aguaron, Juan & Moreno-Jimenez, Jose Maria, 2000. "Local stability intervals in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 125(1), pages 113-132, August.
    4. Chen, Hongyi & Kocaoglu, Dundar F., 2008. "A sensitivity analysis algorithm for hierarchical decision models," European Journal of Operational Research, Elsevier, vol. 185(1), pages 266-288, February.
    5. MacKay, David B. & Bowen, William M. & Zinnes, Joseph L., 1996. "A Thurstonian view of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 89(2), pages 427-444, March.
    6. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
    7. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    8. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    9. Saaty, Thomas L. & Vargas, Luis G., 1987. "Uncertainty and rank order in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 32(1), pages 107-117, October.
    10. Arbel, Ami, 1989. "Approximate articulation of preference and priority derivation," European Journal of Operational Research, Elsevier, vol. 43(3), pages 317-326, December.
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    Cited by:
    1. Thei├čen, 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.

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