A mathematical model for assessing the reliability of water supply networks, based on Markov random processes with a discrete set of states and continuous time (continuous Markov chains), is proposed in this paper. A marked-up graph of the states of the water supply network is constructed to analyze the model. Cauchy problem solution for a system of Kolmogorov differential equations with initial conditions is given. The application of this model to a real water supply network is demonstrated in this paper. The proposed modeling algorithm makes it possible to objectively assess the reliability of any water supply networks for the purpose of long-term prediction of their reliable condition and ensuring their serviceability for the entire period of their operation.
Mathematical Model for Assessing the Reliability of Water Supply Networks
Lect. Notes in Networks, Syst.
International Scientific Siberian Transport Forum ; 2021 May 11, 2021 - May 14, 2021
International Scientific Siberian Transport Forum TransSiberia - 2021 ; Chapter : 38 ; 343-351
2022-03-19
9 pages
Article/Chapter (Book)
Electronic Resource
English
MATHEMATICAL RELIABILITY MODEL
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