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Time-cost trade-off analysis of project networks in fuzzy environments

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  • Chen, Shih-Pin
  • Tsai, Ming-Jiun

Abstract

This paper proposes a novel approach for time-cost trade-off analysis of a project network in fuzzy environments. Different from the results of previous studies, in this paper the membership function of the fuzzy minimum total crash cost is constructed based on Zadeh's extension principle and fuzzy solutions are provided. A pair of two-level mathematical programs parameterized by possibility level [alpha] is formulated to calculate the lower and upper bounds of the fuzzy minimum total crash cost at [alpha]. By enumerating different values of [alpha], the membership function of the fuzzy minimum total crash cost is constructed, and the corresponding optimal activity time for each activity is also obtained at the same time. An example of time-cost trade-off problem with several fuzzy parameters is solved successfully to demonstrate the validity of the proposed approach. Since the minimum total crash cost is expressed by a membership function rather than by a crisp value, the fuzziness of parameters is conserved completely, and more information is provided for time-cost trade-off analysis in project management. The proposed approach also can be applied to time-cost trade-off problems with other characteristics.

Suggested Citation

  • Chen, Shih-Pin & Tsai, Ming-Jiun, 2011. "Time-cost trade-off analysis of project networks in fuzzy environments," European Journal of Operational Research, Elsevier, vol. 212(2), pages 386-397, July.
    • Handle: RePEc:eee:ejores:v:212:y:2011:i:2:p:386-397
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    References listed on IDEAS

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    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. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    3. Golenko-Ginzburg, Dimitri & Gonik, Aharon, 1997. "Stochastic network project scheduling with non-consumable limited resources," International Journal of Production Economics, Elsevier, vol. 48(1), pages 29-37, January.
    4. Steve Phillips, Jr. & Mohamed I. Dessouky, 1977. "Solving the Project Time/Cost Tradeoff Problem Using the Minimal Cut Concept," Management Science, INFORMS, vol. 24(4), pages 393-400, December.
    5. Rommelfanger, Heinrich, 1996. "Fuzzy linear programming and applications," European Journal of Operational Research, Elsevier, vol. 92(3), pages 512-527, August.
    6. Nicolai Siemens, 1971. "A Simple CPM Time-Cost Tradeoff Algorithm," Management Science, INFORMS, vol. 17(6), pages 354-363, February.
    7. F. Brian Talbot, 1982. "Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case," Management Science, INFORMS, vol. 28(10), pages 1197-1210, October.
    8. Ehsan Eshtehardian & Abbas Afshar & Reza Abbasnia, 2008. "Time-cost optimization: using GA and fuzzy sets theory for uncertainties in cost," Construction Management and Economics, Taylor & Francis Journals, vol. 26(7), pages 679-691.
    9. W. J. Gutjahr & C. Strauss & E. Wagner, 2000. "A Stochastic Branch-and-Bound Approach to Activity Crashing in Project Management," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 125-135, May.
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    Cited by:

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    5. Zhao, Mingxuan & Zhou, Jian & Wang, Ke & Pantelous, Athanasios A., 2023. "Project scheduling problem with fuzzy activity durations: A novel operational law based solution framework," European Journal of Operational Research, Elsevier, vol. 306(2), pages 519-534.

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