Reliability evaluation of belt conveyor line at different redundancies of carrying rollers

Operation of modern many kilometers long belt conveyors involves their reliability analysis. It seems to be of concern to assess reliability and mean time between failures of conveyors. This study considers different redundancies of carrying rollers. The reliability law is drawn for the case of a conveyor divided into sections with equal numbers of carrying rollers, and it is allowed that no more than m elements may fail per section. In case when conveyor line contains n rollers and operates fault-free in case of failure of k rollers, the mean time between failures of the conveyor is found at the exponential rule of reliability and at the Weibull distribution. The relationship between the mean time between failures and k is examined. A conveyor with unloaded redundant units keeps on operating until all redundant units are exhausted. Failures of individual units are described by the Poisson distribution model. The failure probability expression versus the time t is obtained. At high t and large number of carrying rollers, the failure-free time of the conveyor follows the normal distribution. In this context, the expression of the conveyor failure probability within the time t is obtained. The results are applicable in conveyor maintenance scheduling and in assessment of the required roller redundancy.

Keywords: belt conveyor, carrying roller, reliability analysis, exponential reliability distribution, loaded redundant units, unloaded redundant units, reliability indices, mean time between failures, Weibull distribution.
For citation:

Dmitrieva V. V., Sizin P. E. Reliability evaluation of belt conveyor line at different redundancies of carrying rollers. MIAB. Mining Inf. Anal. Bull. 2021;(7):85-95. [In Russ]. DOI: 10.25018/0236_1493_2021_7_0_85.

Issue number: 7
Year: 2021
Page number: 85-95
ISBN: 0236-1493
UDK: 622.647.21
DOI: 10.25018/0236_1493_2021_7_0_85
Article receipt date: 16.11.2020
Date of review receipt: 22.12.2020
Date of the editorial board′s decision on the article′s publishing: 10.06.2021
About authors:

V.V. Dmitrieva, Cand. Sci. (Eng.), Assistant Professor, Gubkin Russian State University of Oil and Gas (National Research University), 119991, Moscow, Russia, e-mail:,
P.E. Sizin, Cand. Sci. (Phys. Mathem.), Assistant Professor, Institute of Basic Education, National University of Science and Technology «MISiS», 119049, Moscow, Russia, e-mail:


For contacts:

V.V. Dmitrieva, e-mail:


1. Antonov A. V., Luk'yanov I. I. Influence of equipment reliability on technical and economic indicators of coal mining enterprises. Fundamental research. 2015, no. 12-1, pp. 130—132. [In Russ].

2. Meiyan Li, Sun Yingqian, Chuan Luo Reliability analysis of belt conveyor on fault data. IOP Conference Series. Materials Science and Engineering. 2019, vol. 692, article 012009. DOI: 10.1088/1757-899X/692/1/012009.

3. Xiangwei Lui, Daijie He, Gabriel Lodewijks, Yusong Pang Integrated decision making for predictive maintenance of belt conveyor sistems. Reliability Engineering. System Safety. 2019, vol. 188, pp. 347—351. DOI: 10.1016/j.ress.2019.03.047.

4. Burak Ozdemir, Mustafa Kumral Analysing human effect on the reliability of mining equipment. International Journal of Heavy Vehicle Systems. 2019, vol. 1, no. 1. DOI: 10.1504/ IJHVS.2019.10018454.

5. Sрakhmeyster L. G., Dmitriev V. G. Veroyatnostnye metody rascheta transportiruyushchikh mashin [Probabilistic methods for calculating transporting machines], Moscow, Mashinostroenie, 1983, 256 p.

6. Rusin A. Yu., Abdulkhamed M., Baryshev Yu. V. Algorithms of an automated control system for testing equipment for reliability. Programmnye produkty i sistemy. 2016, no. 2, pp. 23— 26. [In Russ]. DOI 10.15827/0236-235X.114.023-026.

7. Cheremushkina M. S., Sklyaruk A. B. Monitoring as a means of improving the reliability of conveyor transport. Nedelya Nauki SPBPU. Materialy nauchnoy konferentsii s mezhdunarodnym uchastiem [SPBPU Week of Science. Proceedings of the scientific conference with international participation], Saint-Petersburg, 2016, pp. 304—305. [In Russ].

8. Uankpo G. Zh. K., Kozyrev D. V. Software package for simulating and calculating stationary probabilities and evaluating the reliability of a redundant system with arbitrary distributions of uptime and repair of its elements. Modern Information Technologies and IT-Education. 2019, vol. 15, no. 3, pp. 553—562. [In Russ]. DOI: 10.25559/SITITO.15.201903.553-562.

9. Summit R., Halomoan D. Reliability modelling for maintenance scheduling of mobile mining equipment. Proceedings Engineering Mathematics and Applications Conference. 2013, vol. 55. DOI: 10.21914/anziamj.v55i0.7863.

10. Bakhturin Yu. A. Accounting for the reliability of equipment for transport systems of quarries in simulation modeling. MIAB. Mining Inf. Anal. Bull. 2019. Special edition 37, pp. 42—50. [In Russ].

11. Dmitriev V. G., Galkin V. I. Reliability of the belt conveyor stave. MIAB. Mining Inf. Anal. Bull. 2000, no. 3, pp. 93—95. [In Russ].

12. Galkin V. I. Metody rascheta i otsenka pokazateley nadezhnosti lentochnykh konveyerov gornykh predpriyatiy [Methods of calculation and evaluation of reliability indicators of belt conveyors of mining enterprises], Doctor’s thesis, Moscow, Izd-vo MGGU, 2000.

13. Gradshteyn I. S., Ryzhik I. M. Tablitsy integralov, summ, ryadov i proizvedeniy. 4-e izd. [Tables of integrals, sums, series and products, 4th edition], Moscow, Fizmatgiz, 1963, 1100 p.

14. Gnedenko B. V., Belyaev Yu. K., Solov'ev A. D. Matematicheskie metody v teorii nadezhnosti: Osnovnye kharakteristiki nadezhnosti i ikh statisticheskiy analiz. Izd. 3 [Mathematical methods in reliability theory: Main characteristics of reliability and their statistical analysis, 3rd edition], Moscow, Izdatel'skaya gruppa URSS, 2019, 584 p.

15. Angeles E., Kumral M. Optimal inspection and preventive maintenance scheduling of mining equipment. Journal of Failure Analysis and Prevention. 2020, vol. 20, no. 2. DOI: 10.1007/s11668-020-00949-z.

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