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Translated from Farsi to English

Calculating the Project Network Critical Path in Uncertainty Conditions

Author: M.Sc. Mehdi Asadi

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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