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Analytical and simulation models of generalized stochastic networks

  • Large Scale Systems Control
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Abstract

For a generalized stochastic network with a given multi-dimensional distribution of arcs duration, we propose an analytical and simulation-based procedure to calculate the probability of all critical paths, the distribution function and the first two moments of the project completion time. The procedure employs a specially constructed system of inequalities binding the task completion times.

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References

  1. Ventsel, E.S. and Ovcharov, L.A., Teoriya veroyatnosti i ee inzhenernye prilozheniya (Theory of Probability and Its Engineering Applications), Moscow: Nauka, 1988.

    MATH  Google Scholar 

  2. Golenko-Ginzburg, D.I., Stokhasticheskie setevye modeli planirovaniya i upravleniya razrabotkami (Stochastic Network Models in R&D Projecting), Voronezh: Nauchnaya Mysl’, 2010.

    Google Scholar 

  3. Ermakov, S.M. and Mikhailov, G.A., Statisticheskoe modelirovanie (Statistical Modeling), Moscow: Nauka, 1982.

    MATH  Google Scholar 

  4. Ivanov, N.N. and Shastun, V.V., Determination of Exact Upper Estimates of Time Taken to Perform Complex Sets of Problems in Control, Parallel Computing Systems, Autom. Remote Control, 2010, vol. 71, no. 9, pp. 1899–1908.

    Article  MATH  Google Scholar 

  5. Martyshenko, S.N., Martyshenko, N.S., and Kustov, D.A., Modeling of Multidimensional Data and Computing Experiment, Tekhn. Tekhnol., 2007, no. 2, pp. 47–52.

    Google Scholar 

  6. Clark, C.E., The PERT Model for the Distribution of an Activity, Operat. Res., 1962, vol. 10(3), pp. 405–406.

    Article  Google Scholar 

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Correspondence to N. N. Ivanov.

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Original Russian Text © N.N. Ivanov, 2015, published in Upravlenie Bol’shimi Sistemami, 2015, No. 53, pp. 27–44.

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Ivanov, N.N. Analytical and simulation models of generalized stochastic networks. Autom Remote Control 78, 1319–1328 (2017). https://doi.org/10.1134/S000511791707013X

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  • DOI: https://doi.org/10.1134/S000511791707013X

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