"A Computational Evaluation of the Original and Revised
Analytic Hierachy Process"
Computers and Industrial Engineering,
1994, Vol. 26, No. 3, pp. 609-618.
by E. Triantaphyllou and S.H. Mann
The Analytic Hierarchy Process (AHP) and its variants have long
been used in
numerous scientific and engineering applications.
The present paper
demonstrates that the original AHP and one of
its variants have the potential to
reach the wrong conclusion under certain circumstances.
This paper examines the
effectiveness of these two methods under the assumption
that in reality the
pairwise comparisons, which are used in these methods,
take on continuous
values. This assumption is made in order to capture
the majority of the real
world cases. The computational results
in this paper demonstrate that when the
above assumption is made, the AHP and the
revised AHP might yield a different ranking of the alternatives than
that would result if the actual relative importances were known. The same results also reveal a dramatic
increase in the probability that an incorrect
ranking occurs as the number of
alternatives involved increases.
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