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The Impact of Changing the Expected Time and Variance Equations of the Project Activities on The Completion Time and Cost of the Project in PERT Model

Author

Listed:
  • Moayyad Al-Fawaeer

    (Al-Zaytoonah University of Jordan, P.O.Box 130, Amman 11733, Jordan.)

  • Abdul Sattar Al-Ali

    (Senior Member IIE, MCSCMP, EFQM, 2450 Falkland Cres, Oakville, Ontario, L8M 4Y3, Canada.)

  • Mousa Khaireddin

    (Khawarizmi University Technical College, 36 Mirza Wasfi St. Amman, Jordan.)

Abstract

Scheduling is one of the most important tools used in project management, and Programming Evaluation Revision Technique (PERT) is one of the methods used in project scheduling. PERT depends on identifying three possible times for any activity: optimistic, pessimistic, and the most likely. Using these three times, the expected time to end the activity and then the critical path of the project, as well as the activity variance, and then the project standard deviation is calculated by offering different weights for these three times. Therefore, this study aimed to suggest the use of equal weights for these times in calculating both the expected time to complete the activity as well as its variance, in order to know the effect on the completion time of project, the standard deviation of the project, as well as the cost of project crashing. To do that the both models usual PERT model and the proposed model were applied on three real construction projects. The results revealed that the proposed model (equal time weights) has a positive impact on the project crashing cost if required, but the results also revealed a negative impact of applying the proposed model on the project completion time (longer critical path), and on the standard deviation of the project.

Suggested Citation

  • Moayyad Al-Fawaeer & Abdul Sattar Al-Ali & Mousa Khaireddin, 2021. "The Impact of Changing the Expected Time and Variance Equations of the Project Activities on The Completion Time and Cost of the Project in PERT Model," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 20(2), pages 119-140, September.
  • Handle: RePEc:ijb:journl:v:20:y:2021:i:2:p:119-140
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    References listed on IDEAS

    as
    1. Chen, Shih-Pin, 2007. "Analysis of critical paths in a project network with fuzzy activity times," European Journal of Operational Research, Elsevier, vol. 183(1), pages 442-459, November.
    2. Frank E. Grubbs, 1962. "Letter to the Editor---Attempts to Validate Certain PERT Statistics or “Picking on PERT”," Operations Research, INFORMS, vol. 10(6), pages 912-915, December.
    3. Titus Ebenezer Kwofie & Clinton Ohis Aigbavboa & Zanele Sally-Sue Matsane, 2018. "Dimensions of social barriers to effective collaborative working in construction supply chain," International Journal of Project Organisation and Management, Inderscience Enterprises Ltd, vol. 10(1), pages 37-53.
    4. Christian Stoy & Spiro Pollalis & Onur Dursun, 2012. "A concept for developing construction element cost models for German residential building projects," International Journal of Project Organisation and Management, Inderscience Enterprises Ltd, vol. 4(1), pages 38-53.
    5. Kristian Ditlev Bohnstedt & Søren Wandahl, 2019. "Selecting the right collaborative components in a construction project," International Journal of Project Organisation and Management, Inderscience Enterprises Ltd, vol. 11(1), pages 65-92.
    6. Azadeh Rezvani & Pouria Khosravi, 2019. "Identification of failure factors in large scale complex projects: an integrative framework and review of emerging themes," International Journal of Project Organisation and Management, Inderscience Enterprises Ltd, vol. 11(1), pages 1-21.
    7. M. W. Sasieni, 1986. "Note---A Note on Pert Times," Management Science, INFORMS, vol. 32(12), pages 1652-1653, December.
    8. Georgios N. Aretoulis, 2019. "Neural network models for actual cost prediction in Greek public highway projects," International Journal of Project Organisation and Management, Inderscience Enterprises Ltd, vol. 11(1), pages 41-64.
    9. D. R. Fulkerson, 1962. "Expected Critical Path Lengths in PERT Networks," Operations Research, INFORMS, vol. 10(6), pages 808-817, December.
    10. Azaron, Amir & Katagiri, Hideki & Sakawa, Masatoshi & Kato, Kosuke & Memariani, Azizollah, 2006. "A multi-objective resource allocation problem in PERT networks," European Journal of Operational Research, Elsevier, vol. 172(3), pages 838-854, August.
    11. Charles E. Clark, 1962. "Letter to the Editor---The PERT Model for the Distribution of an Activity Time," Operations Research, INFORMS, vol. 10(3), pages 405-406, June.
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    More about this item

    Keywords

    PERT Model Critical Path; Variance; Project Standard Deviation; Project Cost; Project Crashing Cost;
    All these keywords.

    JEL classification:

    • L7 - Industrial Organization - - Industry Studies: Primary Products and Construction
    • L74 - Industrial Organization - - Industry Studies: Primary Products and Construction - - - Construction
    • N6 - Economic History - - Manufacturing and Construction

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