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UDC 628.1/.2:62-192

Alekseev M. I., Baranov L. A., Yermolin Yu. A.

Evaluation of water and wastewater facilities life time under the conditions of periodic failure flow
(to be discussed)

Summary

It is customary to evaluate the reliability of water and wastewater facilities by a number of indicators; the most important among them being the failure rate, reliability function – probability of failure free operation of a project by the time, average time between neighboring failures (life time) of the project. An approximate analytical solution of the task of the project reliability evaluation is presented for the case when the failure flow rate influencing the project is a periodic piecewise constant time function. It was suggested to replace this nonstationary process with a fictitious stationary one. The formula was derived stating the constant failure rate of the equivalent fictitious flow through the parameters of the initial real process. This provides for the possible approximate solution of reliability tasks in analytic form that is suitable for practical use and further analysis.

Key words

reliability , water supply-sewerage services , stationarity , failure flow intensity , project life time , equivalent replacement

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REFERENCES

1. Venttsel’ E. S. Teoriia veroiatnostei [Calculus of probabilities. Moscow, Nauka Publ., 1969, 576 p.].
2. Alekseev M. I., Ermolin Iu. A. Nadezhnost’ setei i sooruzhenii sistem vodootvedeniia [Reliability of wastewater networks and facilities. Moscow, Izdatel’stvo ASV Publ., 2015. 200 p.].
3. Mays L. W. (Editor). Reliability analysis of water distribution systems. New York, ASCE, 1989, 532 p.
4. Hayworth G. I. (Editor). Reliabi­lity engineering advances. New York, Nova Science Publishers, Inc., 2009, 441 p.
5. Khai L. Issledovanie nadezhnosti vodoraspredelitel’nykh setei V’etnama i puti ee povysheniia [Study of water distribution network reliability in Vietnam and ways of its improvement: Ph. D. thesis in Engineering science. Moscow, MGSU Publ., 2002, 217 p.].
6. Ermolin Yu. A. Reliability calculation under seasonally varying failure rate. ISA Transactions, 2007, v. 46, pp. 127–130.
7. Ermolin Yu. A. Stationarization of the seasonally changing failure flow (with reference to reliability problems). Applied Ma­thematical Modelling, 2008, v. 32, no. 10, pp. 2034–2040.
8. Baranov L. A., Ermolin Iu. A. [Evaluation of the indicators of the reliability of a linearly aging project]. Nadezhnost’, 2015, no. 4 (55), pp. 57–60. (In Russian).
9. Gnedenko B. V., Belia­ev Iu. K., Solov’ev A. D. Matema­ticheskie metody v teorii nadezhnosti [Mathematical methods in the relia­bility theory. Moscow, 1965, 524 p.].
10. Khramenkov S. V. Strategiia mo­dernizatsii vodoprovodnoi seti [Strate­gy of the water distribution network upgrade. Moscow, Stroiizdat Publ., 2005, 400 p.].