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

International Journal of Mathematics in Operational Research

Volumn 2, Issue 3, 2010, Pages 290-301

  Sowlati, Taraneh ^a   Assadi, Pooria ^a   Paradi, Joseph C ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

AHP; Analytic hierarchy process; Linear programming; Mathematical programming; MCDM; Multi criteria decision making; Operational research; Sensitivity analysis; Software selection; Wood industry

Indexed keywords

EID: 84861328289     PISSN: 17575850     EISSN: 17575869     Source Type: Journal    
DOI: 10.1504/IJMOR.2010.032719     Document Type: Article

References (21)

1. Aguaron, J. and Moreno-Jimenez, J.M. (2000) 'Local stability intervals in the analytic hierarchy process', European Journal of Operational Research, Vol. 125, pp.113-132.
2. Assadi, P. and Sowlati, T. (2009) 'Design and manufacturing software selection in the wood industry using analytic hierarchy process', Int. J. Business Innovation and Research, Vol. 3, No. 2, pp.182-198.
3. Assadi, P., Sowlati, T. and Paradi, J.C. (in press) 'Multi-criteria evaluation of design and manufacturing software packages considering the interdependencies between criteria: the ANP approach', Int. J. Information and Decision Sciences.
4. Bulter, J., Jia, J. and Dyer, J. (1997) 'Simulation techniques for the sensitivity analysis of multi-criteria decision models', European Journal of Operational Research, Vol. 103, No. 3, pp.531-546. (Pubitemid 127381571)
5. Chang, C.W., Wu, C.R., Lin, C.T. and Chen, H.C. (2007) 'An application of AHP and sensitivity analysis for selecting the best slicing machine', Computers and Industrial Engineering, Vol. 52, pp.296-307.
6. Chatzimouratidis, A.I. and Pilavachi, P.A. (2009) 'Sensitivity analysis of technological, economic and sustainability evaluation of power plants using the analytic hierarchy process', Energy Policy, Vol. 37, pp.788-798.
7. Chen, H. and Kocaoglu, D.F. (2008) 'A sensitivity analysis algorithm for hierarchical decision models', European Journal of Operational Research, Vol. 185, No. 1, pp.266-288. (Pubitemid 47418458)
8. Huang, Y.F. (2002) 'Enhancing on sensitivity analysis of priority in analytic hierarchy process', Int. J. General Systems, Vol. 31, No. 5, pp.531-542.
9. Lai, V.S., Trueblood, R.P. and Wong, B.K. (1999) 'Software selection: a case study of the application of the analytical hierarchical process to the selection of a multimedia authoring system', Information and Management, Vol. 36, No. 4, pp.221-232. (Pubitemid 30498196)
10. Lipovetsky, S. and Tishler, A. (1999) 'Interval estimation of priorities in the AHP', European Journal of Operational Research, Vol. 114, pp.153-164.
11. Masuda, T. (1990) 'Hierarchical sensitivity analysis of priority used in analytic hierarchy process', Int. J. Systems Science, Vol. 21, No. 2, pp.415-427. (Pubitemid 20673423)
12. Saaty, T.L. (1980) The Analytic Hierarchy Process. New York, NY: McGrawHill.
13. Saaty, T.L. and Vargas, L.G. (2006) 'Decision making with the analytic network process: economic, political, social and technological applications with benefits', Opportunities, Costs and Risks. New York, NY: Springer.
14. Sugihara, K. and Tanaka, H. (2001) 'Interval evaluations in the analytic hierarchy process by possibility analysis', Computational Intelligence, Vol. 17, No. 3, pp.567-579. (Pubitemid 32934022)
15. Triantaphyllou, E. (2000) Multi-Criteria Decision Making Methods: A Comparative Study. Boston, MA: Kluwer Academic Publishers.
16. Triantaphyllou, E., Kovalerchuk, B., Mann, L. and Knapp, G.M. (1997) 'Determining the most important criteria in maintenance decision making', Journal of Quality in Maintenance Engineering, Vol. 3, No. 1, pp.16-28.
17. Triantaphyllou, E. and Sanchez, A. (1997) 'A sensitivity analysis approach for some deterministic multi-criteria decision making methods', Decision Sciences, Vol. 28, No. 1, pp.151-194. (Pubitemid 127070910)
18. Vaidya, O.S. and Kumar, S. (2006) 'Analytic hierarchy process: an overview of applications', European Journal of Operational Research, Vol. 169, No. 1, pp.1-29. (Pubitemid 41336610)
19. Wolters, W.T.M. and Mareschal, B. (1995) 'Novel types of sensitivity analysis for additive MCDM methods', European Journal of Operational Research, Vol. 81, No. 2, pp.281-290.
20. Zahedi, F. (1986) 'The analytic hierarchy process- a survey of the methods and its applications', Interfaces, Vol. 16, pp.96-108.
21. Zanakis, S.H., Solomon, A., Wishart, N. and Dublish, S. (1998) 'Multi-attribute decision making: a simulation comparison of select methods', European Journal of Operational Research, Vol. 107, No. 3, pp.507-529. (Pubitemid 128388886)