IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v25y1997i3p323-328.html
   My bibliography  Save this article

New validations of PERT times

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(97)00002-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. T. K. Littlefield & P. H. Randolph, 1991. "PERT Duration Times: Mathematics or MBO," Interfaces, INFORMS, vol. 21(6), pages 92-95, December.
    2. Kenneth R. MacCrimmon & Charles A. Ryavec, 1964. "An Analytical Study of the PERT Assumptions," Operations Research, INFORMS, vol. 12(1), pages 16-37, February.
    3. M. W. Sasieni, 1986. "Note---A Note on Pert Times," Management Science, INFORMS, vol. 32(12), pages 1652-1653, December.
    4. Donald L. Keefer & William A. Verdini, 1993. "Better Estimation of PERT Activity Time Parameters," Management Science, INFORMS, vol. 39(9), pages 1086-1091, September.
    5. Charles Gallagher, 1987. "Reply---A Note on PERT Assumptions," Management Science, INFORMS, vol. 33(10), pages 1360-1360, October.
    6. Sculli, D, 1989. "A historical note on PERT times," Omega, Elsevier, vol. 17(2), pages 195-196.
    7. 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.
    8. 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.
    9. 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.
    10. Golenko-Ginzburg, D, 1989. "PERT assumptions revisited," Omega, Elsevier, vol. 17(4), pages 393-396.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Barbara Gładysz, 2017. "Fuzzy-probabilistic PERT," Annals of Operations Research, Springer, vol. 258(2), pages 437-452, November.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Bordley, Robert F. & Keisler, Jeffrey M. & Logan, Tom M., 2019. "Managing projects with uncertain deadlines," European Journal of Operational Research, Elsevier, vol. 274(1), pages 291-302.
    8. Lau, Hon-Shiang & Somarajan, C., 1995. "A proposal on improved procedures for estimating task-time distributions in PERT," European Journal of Operational Research, Elsevier, vol. 85(1), pages 39-52, August.
    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. Williams, Terry, 1999. "Towards realism in network simulation," Omega, Elsevier, vol. 27(3), pages 305-314, June.
    11. 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.
    12. Trietsch, Dan & Mazmanyan, Lilit & Gevorgyan, Lilit & Baker, Kenneth R., 2012. "Modeling activity times by the Parkinson distribution with a lognormal core: Theory and validation," European Journal of Operational Research, Elsevier, vol. 216(2), pages 386-396.
    13. García Pérez, J., 1998. "El método de subasta como complemento al PERT clásico," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 10, pages 71-88, Diciembre.
    14. Hajdu M. & Isaac S., 2016. "Sixty years of project planning: history and future," Organization, Technology and Management in Construction, Sciendo, vol. 8(1), pages 1499-1510, December.
    15. Finer, David Andrew, 2022. "No Shock Waves through Wall Street? Market Responses to the Risk of Nuclear War," Working Papers 318, The University of Chicago Booth School of Business, George J. Stigler Center for the Study of the Economy and the State.
    16. M Revie & T Bedford & L Walls, 2010. "Evaluation of elicitation methods to quantify Bayes linear models," Journal of Risk and Reliability, , vol. 224(4), pages 322-332, December.
    17. Barbara Gładysz, 2017. "Fuzzy-probabilistic PERT," Annals of Operations Research, Springer, vol. 258(2), pages 437-452, November.
    18. Wendi Tian & Erik Demeulemeester, 2014. "Railway scheduling reduces the expected project makespan over roadrunner scheduling in a multi-mode project scheduling environment," Annals of Operations Research, Springer, vol. 213(1), pages 271-291, February.
    19. Xiong, Jian & Leus, Roel & Yang, Zhenyu & Abbass, Hussein A., 2016. "Evolutionary multi-objective resource allocation and scheduling in the Chinese navigation satellite system project," European Journal of Operational Research, Elsevier, vol. 251(2), pages 662-675.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:25:y:1997:i:3:p:323-328. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.