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New validations of PERT times

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  • Kamburowski, J.

Abstract

This paper defends the classical PERT formulas for computing the mean and variance of the random activity time. We show three new validations for them by examining the kurtosis of the beta distribution employed in PERT.

Suggested Citation

  • Kamburowski, J., 1997. "New validations of PERT times," Omega, Elsevier, vol. 25(3), pages 323-328, June.
    • Handle: RePEc:eee:jomega:v:25:y:1997:i:3:p:323-328
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    References listed on IDEAS

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    1. Kenneth R. MacCrimmon & Charles A. Ryavec, 1964. "An Analytical Study of the PERT Assumptions," Operations Research, INFORMS, vol. 12(1), pages 16-37, February.
    2. M. W. Sasieni, 1986. "Note---A Note on Pert Times," Management Science, INFORMS, vol. 32(12), pages 1652-1653, December.
    3. Donald L. Keefer & William A. Verdini, 1993. "Better Estimation of PERT Activity Time Parameters," Management Science, INFORMS, vol. 39(9), pages 1086-1091, September.
    4. Sculli, D, 1989. "A historical note on PERT times," Omega, Elsevier, vol. 17(2), pages 195-196.
    5. D. G. Malcolm & J. H. Roseboom & C. E. Clark & W. Fazar, 1959. "Application of a Technique for Research and Development Program Evaluation," Operations Research, INFORMS, vol. 7(5), pages 646-669, October.
    6. T. K. Littlefield, Jr. & P. H. Randolph, 1987. "Reply---An Answer to Sasieni's Question on PERT Times," Management Science, INFORMS, vol. 33(10), pages 1357-1359, October.
    7. Genaro J. Gutierrez & Panagiotis Kouvelis, 1991. "Parkinson's Law and Its Implications for Project Management," Management Science, INFORMS, vol. 37(8), pages 990-1001, August.
    8. Charles Gallagher, 1987. "Reply---A Note on PERT Assumptions," Management Science, INFORMS, vol. 33(10), pages 1360-1360, October.
    9. T. K. Littlefield & P. H. Randolph, 1991. "PERT Duration Times: Mathematics or MBO," Interfaces, INFORMS, vol. 21(6), pages 92-95, December.
    10. Golenko-Ginzburg, D, 1989. "PERT assumptions revisited," Omega, Elsevier, vol. 17(4), pages 393-396.
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    Citations

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    Cited by:

    1. Barbara Gładysz, 2017. "Fuzzy-probabilistic PERT," Annals of Operations Research, Springer, vol. 258(2), pages 437-452, November.
    2. López Martín, M.M. & García García, C.B. & García Pérez, J. & Sánchez Granero, M.A., 2012. "An alternative for robust estimation in Project Management," European Journal of Operational Research, Elsevier, vol. 220(2), pages 443-451.
    3. Pérez, José García & Martín, María del Mar López & García, Catalina García & Sánchez Granero, Miguel Ángel, 2016. "Project management under uncertainty beyond beta: The generalized bicubic distribution," Operations Research Perspectives, Elsevier, vol. 3(C), pages 67-76.
    4. Kotz, Samuel & van Dorp, J. René, 2005. "A link between two-sided power and asymmetric Laplace distributions: with applications to mean and variance approximations," Statistics & Probability Letters, Elsevier, vol. 71(4), pages 383-394, March.
    5. Eugene Shragowitz & Habib Youssef & Bing Lu, 2003. "Iterative Converging Algorithms for Computing Bounds on Durations of Activities in Pert and Pert-Like Models," Journal of Combinatorial Optimization, Springer, vol. 7(1), pages 5-22, March.
    6. Verónica Morales-Sánchez & Antonio Hernández-Mendo & Pedro Sánchez-Algarra & Ángel Blanco-Villaseñor & María-Teresa Anguera-Argilaga, 2009. "Random PERT: application to physical activity/sports programs," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(2), pages 225-236, March.
    7. A. Hernández-Bastida & M. P. Fernández-Sánchez, 2019. "How adding new information modifies the estimation of the mean and the variance in PERT: a maximum entropy distribution approach," Annals of Operations Research, Springer, vol. 274(1), pages 291-308, March.
    8. van Dorp, J. Rene, 2005. "Statistical dependence through common risk factors: With applications in uncertainty analysis," European Journal of Operational Research, Elsevier, vol. 161(1), pages 240-255, February.
    9. HerrerI´as-Velasco, José Manuel & HerrerI´as-Pleguezuelo, Rafael & van Dorp, Johan René, 2011. "Revisiting the PERT mean and variance," European Journal of Operational Research, Elsevier, vol. 210(2), pages 448-451, April.
    10. Hahn, Eugene David, 2008. "Mixture densities for project management activity times: A robust approach to PERT," European Journal of Operational Research, Elsevier, vol. 188(2), pages 450-459, July.
    11. Catalina García & José Pérez & Salvador Rambaud, 2010. "Proposal of a new distribution in PERT methodology," Annals of Operations Research, Springer, vol. 181(1), pages 515-538, December.
    12. To, Chester K.M. & Fung, Hon-Kwok & Harwood, Raymond J. & Ho, K.C., 2009. "Coordinating dispersed product development processes: A contingency perspective of project design and modelling," International Journal of Production Economics, Elsevier, vol. 120(2), pages 570-584, August.

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