Mathematical modeling of the intensity of water consumption by various types of water collecting devices

Dmitry E. Polivanov, Alexey A. Semenov, Olga N. Yarkova

Saint Petersburg State University of architecture and civil engineering

The article presents the results of a study of the intensity of water consumption by various types of water collection devices (kitchen sink and bath faucets (shower cabin), toilet bowl with flush tank, washing machine and dishwasher) using water from the water supply system. The evaluation of the theoretical laws of the distribution of the value of the second water flow and their parameters is carried out. The homogeneity of empirical samples of the values of the second water flow and theoretical distribution laws is estimated. The choice of the best theoretical distribution laws is made at the significance level α = 0.05. As a result of the study, a classification of water sampling devices was proposed according to the variability of the intensity of water consumption, as well as the theoretical distribution laws that best describe the intensity of water consumption by various types of water sampling devices were evaluated and justified.

mathematical modeling, probabilistic model, theoretical distribution law, water supply system, stochastic character

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