Title: Developing a mathematical programming model for sensitivity analysis in analytic hierarchy process

Authors: Taraneh Sowlati, Pooria Assadi, Joseph C. Paradi

Addresses: Department of Wood Science, University of British Columbia, 2931-2424 Main Mall, Vancouver, British Columbia V6T 1Z4, Canada. ' Department of Wood Science, University of British Columbia, 2931-2424 Main Mall, Vancouver, British Columbia V6T 1Z4, Canada. ' Centre for Management of Technology and Entrepreneurship, Faculty of Applied Science and Engineering, University of Toronto, 200 College Street, Toronto, Ontario M5S 3E5, Canada

Abstract: Sensitivity analysis is an important step in multi-criteria decision making that provides useful information and insights on the decision problem. The solution of a decision problem is not complete if only the ranks of alternatives are determined, since any change in the input parameters may change the ranking and the final decision. This article presents a mathematical programming model for sensitivity analysis in the analytic hierarchy process method to assess the minimum required changes in the weights of criteria to alter the alternatives ranking. The proposed model is applied to a real case of evaluating and selecting design and manufacturing software packages in a kitchen cabinet manufacturing company in Canada. The results of sensitivity analysis are used to assess the robustness of the final decision.

Keywords: AHP; analytical hierarchy process; linear programming; mathematical programming; MCDM; multicriteria decision making; operational research; sensitivity analysis; software selection; wood industry; design software; manufacturing software; kitchen cabinet manufacturing; Canada; software selection.

DOI: 10.1504/IJMOR.2010.032719

International Journal of Mathematics in Operational Research, 2010 Vol.2 No.3, pp.290 - 301

Published online: 17 Apr 2010 *

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