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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2015 Issue 53, Pages 27–44 (Mi ubs793)

This article is cited in 5 papers

Control in Social and Economic Systems

Analytical and simulation models of generalized stochastic networks

N. N. Ivanov

Institute of Control Sciences of RAS

Abstract: For a generalized stochastic network schedule with a given multi-dimensional distribution of arcs passage time we propose the analytical- and simulation-based routines to calculate the probability of all critical paths, the distribution function and the first two moments of the project completion time. The routines are based on a specially constructed system of inequalities binding the task completion times.

Keywords: stochastic network, critical path, moments of task completion time distribution, the Monte Carlo method.

UDC: 519.179.2
BBK: 22.176 + 65.23


 English version:
Automation and Remote Control, 2017, 78:7, 1319–1328

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© Steklov Math. Inst. of RAS, 2025