A new methodology for sensitivity and stability analysis of analytic network models
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.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
- Arbel, Ami, 1989. "Approximate articulation of preference and priority derivation," European Journal of Operational Research, Elsevier, vol. 43(3), pages 317-326, December.
- 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.
- Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:224:y:2013:i:1:p:180-188. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.