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A dynamic sampling technique for the simulation of probabilistic and generalized activity networks

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  • Dawson, C. W.

Abstract

Most probabilistic activity networks (e.g. PERT) of any reasomable size are practically impossible to analyse mathematically in an acceptable time. This problem is augmented when stochastic branching is introduced to form generalized activity networks. For this reason simulation has proved to be one of the more popular and 'accurate' techniques available for network attribute analysis. In this paper a dynamic sampling technique is introduced that improves on the standard simulation approach used in popular project management software tools. A comparison is also made between the simulation requirements of standard probabilistic activity networks and a finite sample set of generalized activity networks in which activities are assigned either dependent or independent probability generations.

Suggested Citation

  • Dawson, C. W., 1995. "A dynamic sampling technique for the simulation of probabilistic and generalized activity networks," Omega, Elsevier, vol. 23(5), pages 557-566, October.
  • Handle: RePEc:eee:jomega:v:23:y:1995:i:5:p:557-566
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    References listed on IDEAS

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    1. Sculli, D & Wong, KL, 1985. "The maximum and sum of two beta variables and the analysis of PERT networks," Omega, Elsevier, vol. 13(3), pages 233-240.
    2. Kamburowski, Jerzy, 1985. "An upper bound on the expected completion time of PERT networks," European Journal of Operational Research, Elsevier, vol. 21(2), pages 206-212, August.
    3. 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.
    4. Ragsdale, C, 1989. "The current state of network simulation in project management theory and practice," Omega, Elsevier, vol. 17(1), pages 21-25.
    5. Chimyung Kwon & Jeffrey D. Tew, 1994. "Strategies for Combining Antithetic Variates and Control Variates in Designed Simulation Experiments," Management Science, INFORMS, vol. 40(8), pages 1021-1034, August.
    6. J. P. Royston, 1982. "The W Test for Normality," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(2), pages 176-180, June.
    7. Mark B. Garman, 1972. "More on Conditioned Sampling in the Simulation of Stochastic Networks," Management Science, INFORMS, vol. 19(1), pages 90-95, September.
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    Cited by:

    1. N-H Shih, 2005. "Estimating completion-time distribution in stochastic activity networks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 744-749, June.

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