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Numerical Operators for Statistical PERT Critical Path Analysis

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  • Larry J. Ringer

    (Institute of Statistics, Texas A & M University)

Abstract

This paper extends the algorithm developed by Hartley and Wortham [2] for the calculation of the c.d.f. of the critical time in a PERT network. Additional first order crossed networks and their operators are given. In addition, a technique for developing an integral operator for any PERT network is presented.

Suggested Citation

  • Larry J. Ringer, 1969. "Numerical Operators for Statistical PERT Critical Path Analysis," Management Science, INFORMS, vol. 16(2), pages 136-143, October.
    • Handle: RePEc:inm:ormnsc:v:16:y:1969:i:2:p:b136-b143
    DOI: 10.1287/mnsc.16.2.B136
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    Cited by:

    1. Fatemi Ghomi, S. M. T. & Hashemin, S. S., 1999. "A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network," European Journal of Operational Research, Elsevier, vol. 114(3), pages 610-625, May.
    2. Fatemi Ghomi, S. M. T. & Rabbani, M., 2003. "A new structural mechanism for reducibility of stochastic PERT networks," European Journal of Operational Research, Elsevier, vol. 145(2), pages 394-402, March.
    3. Schmidt, Craig W. & Grossmann, Ignacio E., 2000. "The exact overall time distribution of a project with uncertain task durations," European Journal of Operational Research, Elsevier, vol. 126(3), pages 614-636, November.
    4. Yousry Abdelkader, 2010. "Adjustment of the moments of the project completion times when activity times are exponentially distributed," Annals of Operations Research, Springer, vol. 181(1), pages 503-514, December.
    5. Sigal, C.E. & Pritsker, A.A.B. & Solberg, J.J., 1979. "The use of cutsets in Monte Carlo analysis of stochastic networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(4), pages 376-384.
    6. Tetsuo Iida, 2000. "Computing bounds on project duration distributions for stochastic PERT networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(7), pages 559-580, October.

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