Mathematical Logic Model for Analysing the Controllability of Mining Equipment

Pavel V. Shishkin (), Boris V. Malozyomov, Nikita V. Martyushev (), Svetlana N. Sorokova, Egor A. Efremenkov, Denis V. Valuev and Mengxu Qi
Additional contact information
Pavel V. Shishkin: Department of Transport-Technological Processes and Machines, Empress Catherine II Saint-Petersburg Mining University, 199106 Saint-Petersburg, Russia
Boris V. Malozyomov: Department of Electrotechnical Complexes, Novosibirsk State Technical University, 630073 Novosibirsk, Russia
Nikita V. Martyushev: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia
Svetlana N. Sorokova: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia
Egor A. Efremenkov: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia
Denis V. Valuev: Yurga Technological Institute (Branch), Tomsk Polytechnic University, 652055 Yurga, Russia
Mengxu Qi: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia

Mathematics, 2024, vol. 12, issue 11, 1-20

Abstract: The issues of the evaluation and prediction of the reliability and testability of mining machinery and equipment are becoming particularly relevant, since the safety of technological processes and human life is reaching a new level of realisation due to changes in mining technology. The work is devoted to the development of a logical model for analysing the controllability of mining equipment. The paper presents a model of reliability of the operation of mining equipment on the example of a mine load and passenger hoist. This generalised model is made in the form of a graph of transitions and supplemented with a system of equations. The model allows for the estimation of the reliability of equipment elements and equipment as a whole. A mathematical and logical model for the calculation of the availability and downtime coefficients of various designs of mining equipment systems is proposed. This model became the basis for the methods to calculate the optimal values of diagnostic depth. At these calculated values, the maximum value of availability factor will be obtained. In this paper, an analytical study was carried out and dependences of the readiness factor of parameters of the investigated system such as the intensity of control of technical systems, intensity of failures, etc., were constructed. The paper proposes a mathematical model to assess the reliability of mine hoisting plants through its integration into the method of improving the reliability of mine hoisting plants.

Keywords: mathematical modelling; forecasting; technical reliability; verifiability; mining equipment; operating efficiency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/11/1660/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/11/1660/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:11:p:1660-:d:1402292

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().