Finding the Critical Path Method for Fuzzy Network with Development Ranking Function

Authors

  • Rasha Jalal Mitlif Applied Sciences Department, Mathematics and Computer Applications, University of Technology, Baghdad, Iraq
  • Rasha Jalal Mitlif Applied Sciences Department, Mathematics and Computer Applications, University of Technology, Baghdad, Iraq
  • Fatema Ahmad Sadiq Applied Sciences Department, Mathematics and Computer Applications, University of Technology, Baghdad, Iraq,

DOI:

https://doi.org/10.29304/jqcm.2021.13.3.850

Keywords:

Fuzzy number, trapezoidal fuzzy number, network problem, critical path method, earliest start, latest finish

Abstract

We propose a development ranking function (RF) to solve project - scheduling problems (PSP) in a foggy environment. The development command works on fuzzy numbers (FN) and this is done by converting the fuzzy parameters to an explicit value and applying the critical path method (CPM) to obtain the solution described in the proposed algorithm. A clear definition of the time limit will aid in the successful implementation of CPM, there is often confusion regarding the length of the process leading to the development of a critical path method (CPM) system. The example and approach strongly suggest that the proposed method is efficient and gives us the critical path (CP) and identifies sensitive activities as well. The results show that the use of the development ranking function (DRF) is better, more efficient, and accurate than the other ranking function (RF) by calculating the hours of the project completion.

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References

[1] M. SHANMUGASUNDARI AND K. GANESAN , PROJECT SCHEDULING PROBLEMS UNDER FUZZY ENVIRONMENT, A NEW SOLUTION APPROACH. IJPAMS, VOL. 95, (2014) , P.387-399.
[2] R. Morovatdar, A. Aghaie and S.Haji Yakhchali ,Fuzzy Network Analysis for Projects with High Level of Risks – Uncertainty in Time and Structure, IJIEPR, vol.22,(2011),p.73-82.
[3] A. Soltani and R.Haji, A Project Scheduling Method Based on Fuzzy Theory, JISE, vol.1,(2007) , p. 70-80.
[4] A.Kumar and P.Kaur, A New Method for Fuzzy Critical Path Analysis in Project Networks with a New Representation of Triangular Fuzzy Numbers, AAM, vol.05, (2010) ,p.345 – 369.
[5] D. Pandey , S K.Tyagi and V.Kumar , Reliability Analysis of a Series and Parallel Network using Triangular Intuitionistic Fuzzy Sets, AAM, vol.6, (2011),p.105 – 115.
[6] K.Selvakumari and G.Sowmiya, Fuzzy Network Problems Using Job Sequencing Technique in Hexagonal Fuzzy Numbers, IJAERD, vol.4, (2017), p.116-121.
[7] P.Jayagowri and G. Geetharamani , Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path, Hindawi , (2015), p.1-12.
[8] N R. Shankar, V. Sireesha and P Ph B. Rao, Critical Path Analysis in the Fuzzy Project Network, AFM,vol.5, (2010), p.285–294.
[9] D. Sen, D. Roy and S. Dey , Critical Path Method in the Network Analysis with Parametric Fuzzy Activity, IOSR Journal of Computer Engineering (IOSR-JCE), vol.21, (2019), p.54-60.
[10] S. Narayanamoorthy and S. Maheswari, The Intelligence of Octagonal Fuzzy Number to Determine the Fuzzy Critical Path: A New Ranking Method, Hindawi Publishing Corporation Scientific Programming,(2016), p.1-8.
[11] R.Shruti and S. Akila, Applying Metric Distance Ranking Technique in Fuzzy Critical Path Analysis. Science, Technology and Development, (2020), p.257-265.
[12] R. J. Mitlif, Ranking Function Application for Optimal Solution of Fractional Programming Problem, , Al-Qadisiyah Journal Of Pure Science , vol. 25, No.1, (2020), p.27-35.
[13] N S. GOWRI and S. AKILA, Analysis of Fuzzy Critical path Using Metric Distance Ranking Technique, Science, Technology and Development, (2020) , p. 98-107.
[14] C. Rajendran and M. Ananthanarayanan, Fuzzy Critical Path Method Using Ranking of Fuzzy Numbers, IJSR, vol.16, (2017),p.2702- 2705.
[15] R. J. Mitlif, Computation the Optimal Solution of Octagonal Fuzzy Numbers, Journal of Al-Qadisiyah for Computer Science and Mathematics, Vol.12, No.4, (2020), pp. 71–78.
[16] R. J. Mitlif, An Efficient Algorithm for Fuzzy Linear Fractional Programming Problems via Ranking Function, Baghdad Sci. J, vol.19, No.1,(2022), p.71-76.
[17] S.Narayanamoorthy and S. Maheswari, Fuzzy Critical path Method with Hexagonal and Generalised Hexagonal Fuzzy Numbers Using Ranking Method, IJAER , vol. 13, (2018), p.11877-11882.
[18] R. J. Mitlif, M. RASHEED, S. SHIHAB, T. RASHID , S. Abed Hamad, Linear Programming Method Application in a Solar Cell, Journal of Al-Qadisiyah for Computer Science and Mathematics Vol.13, No.1, (2021) , p. 10-21.
[19] R. J. Mitlif, M. Rasheed, S. Shihab , AN OPTIMAL ALGORITHM FOR A FUZZY TRANSPORTATION PROBLEM, JOURNAL OF SOUTHWEST JIAOTONG UNIVERSITY, Vol. 55, No. 3, (2020) , p.1-11.
[20] I H. Hussein and R J .Mitlif , Ranking Function to Solve a Fuzzy Multiple Objective Function, Baghdad Sci. J, vol.18, No.1 , (2021), p.144-148.
[21] R. J. Mitlif, 2016, Solving fuzzy fractional linear programming problems by ranking function methods, JOURNAL OF COLLEGE OF EDUCATION, 1, pp:93-108.
[22] I H. Hussein and Z S. Abood, Solving Fuzzy Games Problems by Using Ranking Functions, Baghdad Sci. J, vol.15, (2018), p.98-101.
[23] Karyati , D U. Wutsqa and N. Insani, Yager’s Ranking Method for Solving the Trapezoidal Fuzzy Number Linear Programming, ICMSE, Journal of Physics: Conf. Series, (2018), p.1-7.
[24] H R. Maleki, Ranking Functions and Their Applications to Fuzzy Linear Programming, FJMS, vol.4 (2002), p.283-301.

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Published

2021-09-25

How to Cite

Mitlif, R. J., Mitlif, R. J., & Sadiq, F. A. (2021). Finding the Critical Path Method for Fuzzy Network with Development Ranking Function. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(3), Math Page 98– 106. https://doi.org/10.29304/jqcm.2021.13.3.850

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Section

Math Articles