Calculate the Fuzzy Critical Path of the Project Network with Linguistic Variables

Author

20.1001.1.27174409.1399.3.2.11.8/DOR

Abstract

Proper project scheduling is a prerequisite for project success. In traditional models, the time of activities is considered as definite or probable numbers. In the real world, it is impossible to calculate the exact time of each activity and it is always faced with uncertainty. In this article, the duration of each activity is presented by experts as linguistic variables and using linguistic theory, these linguistic variables are displayed in the form of fuzzy numbers. Estimating the project completion time and determining the critical project path will be possible by solving a fuzzy linear programming model. In this paper, using fuzzy number ranking, the FCPM algorithm to solve the model is introduced. At no point in this algorithm is "fuzzy" "fuzzy numbers" performed and the project completion time is obtained as a trapezoidal fuzzy number. Finally, the performance of the proposed algorithm is shown with a practical example. Proper project scheduling is a prerequisite for project success. In traditional models, the time of activities is considered as definite or probable numbers. In the real world, it is impossible to calculate the exact time of each activity and there is always uncertainty. In this paper, the duration of each activity is presented by experts as linguistic variables and using linguistic theory, these linguistic variables are displayed in the form of fuzzy numbers.

Keywords

References

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History

  • Receive Date: 16 February 2021
  • Revise Date: 20 April 2021
  • Accept Date: 26 April 2021

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