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An enhanced goal programming method for generating priority vectors

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  • C-C Lin

    (Kun-Shan University, Tainan)

Abstract

Generating priority vectors from pairwise comparison matrices is an essential part of the analytical hierarchy process. Besides the well-known right eigenvector method and the logarithmic least squares method, Bryson proposed a goal programming method (GPM) for achieving the above. Although the GPM always obtains an optimal solution, this study shows the existence of concealed alternative optimal solutions that might lead to different priority vectors. This study proposed a GPM for overcoming the problem of alternative optimal solution. In contrast with the GPM, the proposed method obtains a unique optimal solution and performs better in various aspects.

Suggested Citation

  • C-C Lin, 2006. "An enhanced goal programming method for generating priority vectors," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(12), pages 1491-1496, December.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:12:d:10.1057_palgrave.jors.2602129
    DOI: 10.1057/palgrave.jors.2602129
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    References listed on IDEAS

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    1. Golany, B. & Kress, M., 1993. "A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices," European Journal of Operational Research, Elsevier, vol. 69(2), pages 210-220, September.
    2. Zahedi, Fatemeh, 1986. "A simulation study of estimation methods in the analytic hierarchy process," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 347-354.
    3. Fichtner, John, 1986. "On deriving priority vectors from matrices of pairwise comparisons," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 341-345.
    4. Lootsma, F. A., 1996. "A model for the relative importance of the criteria in the Multiplicative AHP and SMART," European Journal of Operational Research, Elsevier, vol. 94(3), pages 467-476, November.
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    Cited by:

    1. Kevin Kam Fung Yuen, 2014. "The Least Penalty Optimization Prioritization Operators for the Analytic Hierarchy Process: A Revised Case of Medical Decision Problem of Organ Transplantation," Systems Engineering, John Wiley & Sons, vol. 17(4), pages 442-461, December.

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