International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 25 , Issue 4 , PP: 357-370, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Exploring Critical Path Solving Methods under Neutrosophic

M. Navya Pratyusha 1 , Ranjan Kumar 2 *

  • 1 VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India - (navyapratyusha.miriyala@gmail.com)
  • 2 VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India - (ranjank.nit52@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.250430

    Received: October 02, 2024 Revised: December 14, 2024 Accepted: January 25, 2024
    Abstract

    Over the past few decades, the traditional critical path method and its various generalizations have become the most popular technique for managing complex projects. It plays a crucial role in differentiating between critical and non-critical tasks to enhance project schedules. For the first time in the literature, our proposed model implements two algorithms for the study of the critical path method, each addressing an advanced framework in the form of a single-valued triangular neutrosophic. The proposed algorithm 1 utilizes Python to extended Dijkstra’s algorithm under the neutrosophic framework, while the proposed algorithm 2 employs linear programming for optimality checks, which is solved using LINGO. Our comparison with previous research on the critical path method shows that the proposed algorithms are better at dealing with uncertainty, making project schedules more reliable and flexible. The findings lead to the proposed algorithm framework, combined with Python and LINGO, to enhance decision-making and improve the accuracy and efficiency of critical path identification in complex project environments.

    Keywords :

    Critical Path Method , Uncertainty , Neutrosophic Set , Neutrosophic Dijkstra&rsquo , s Algorithm , Single Valued Triangular Neutrosophic

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    Cite This Article As :
    Navya, M.. , Kumar, Ranjan. Exploring Critical Path Solving Methods under Neutrosophic. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 357-370. DOI: https://doi.org/10.54216/IJNS.250430
    Navya, M. Kumar, R. (2025). Exploring Critical Path Solving Methods under Neutrosophic. International Journal of Neutrosophic Science, (), 357-370. DOI: https://doi.org/10.54216/IJNS.250430
    Navya, M.. Kumar, Ranjan. Exploring Critical Path Solving Methods under Neutrosophic. International Journal of Neutrosophic Science , no. (2025): 357-370. DOI: https://doi.org/10.54216/IJNS.250430
    Navya, M. , Kumar, R. (2025) . Exploring Critical Path Solving Methods under Neutrosophic. International Journal of Neutrosophic Science , () , 357-370 . DOI: https://doi.org/10.54216/IJNS.250430
    Navya M. , Kumar R. [2025]. Exploring Critical Path Solving Methods under Neutrosophic. International Journal of Neutrosophic Science. (): 357-370. DOI: https://doi.org/10.54216/IJNS.250430
    Navya, M. Kumar, R. "Exploring Critical Path Solving Methods under Neutrosophic," International Journal of Neutrosophic Science, vol. , no. , pp. 357-370, 2025. DOI: https://doi.org/10.54216/IJNS.250430