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Translated from
Farsi to English |
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Calculating the Project Network Critical
Path in Uncertainty Conditions
Author:
M.Sc.
Mehdi Asadi
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Abstract
Correct Scheduling of the project is the
necessary condition for the project success. In traditional models, the
time of the activities are considered as exact or probability numbers.
In real world however, accurate calculation of time for performing each
activity is not possible and is always faced with uncertainty. In the
present paper, the required time for each activity is determined by the
experts as linguistic variables and the said variables are represented
in fuzzy numbers form using the fuzzy theory. Estimating the project
accomplishment duration and determining the project critical path will
be possible through resolving a fuzzy linear programming model. A
solution algorithm is introduced for the model using fuzzy numbers
ranking. In none of the algorithm steps the de-fuzzification of the
fuzzy numbers occurs, and the project accomplishment time is gained in
trapezoidal fuzzy number. Finally the efficiency of the introduced
algorithm is shown using an application example.
Keywords:
critical path,
uncertainty conditions, linguistic variables, fuzzy theory, linear
programming,
de-fuzzification
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