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:


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