Modeling the reliability of the onboard equipment of~a~mobile~robot
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 21 (2021) no. 3, pp. 390-399.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mobile robots with complex onboard equipment are investigated in this article. It is shown that their onboard equipment, for providing the required reliability parameters, must have fault-tolerant properties. For designing such equipment it is necessary to have an adequate model of reliability parameters evaluation. The approach, linked to the creation of the model, based on parallel semi-Markov process apparatus, is considered. At the first stage of modeling, the lifetime of the single block in a complex fault-recovery cycle is determined. Dependences for the calculation of time intervals and probabilities of wandering through ordinary semi-Markov processes for a common case are obtained. At the second stage, ordinary processes are included in the parallel one, which simulates the lifetime of the equipment lifetime as a whole. To simplify calculations, a digital model of faults with the use of the procedure of histogram sampling is proposed. It is shown that the number of samples permits to control both the accuracy and the computational complexity of the procedure for calculating the reliability parameters.
@article{ISU_2021_21_3_a10,
     author = {E. V. Larkin and T. A. Akimenko and A. V. Bogomolov},
     title = {Modeling the reliability of the onboard equipment of~a~mobile~robot},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {390--399},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ISU_2021_21_3_a10/}
}
TY  - JOUR
AU  - E. V. Larkin
AU  - T. A. Akimenko
AU  - A. V. Bogomolov
TI  - Modeling the reliability of the onboard equipment of~a~mobile~robot
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2021
SP  - 390
EP  - 399
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2021_21_3_a10/
LA  - en
ID  - ISU_2021_21_3_a10
ER  - 
%0 Journal Article
%A E. V. Larkin
%A T. A. Akimenko
%A A. V. Bogomolov
%T Modeling the reliability of the onboard equipment of~a~mobile~robot
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2021
%P 390-399
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2021_21_3_a10/
%G en
%F ISU_2021_21_3_a10
E. V. Larkin; T. A. Akimenko; A. V. Bogomolov. Modeling the reliability of the onboard equipment of~a~mobile~robot. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 21 (2021) no. 3, pp. 390-399. http://geodesic.mathdoc.fr/item/ISU_2021_21_3_a10/

[1] Tzafestas S. G., Introduction to Mobile Robot Control, Elsevier, 2014, 750 pp. | DOI

[2] Landau I. D., Zito G., Digital Control Systems: Design, Identification and Implementation, Springer-Verlag, London, 2006, 484 pp. | DOI

[3] Äström J., Wittenmark B., Computer-Controlled Systems: Theory and Design, Dover Books on Electrical Engineering, Third Edition, Dover Publ., 2011, 576 pp.

[4] Rousand M., Reliability of Safety-Critical Systems: Theory and Applications, John Wiley Sons, 2014, 466 pp.

[5] Sánchez-Silva M., Klutke G.-A., Reliability and Life-Cycle Analysis of Deteriorating Systems, Springer Series in Reliability Engineering, Springer International Publishing, Switzerland, 2016, 356 pp. | DOI

[6] O'Conner P., Kleyner A., Practical Reliability Engineering, John Willey Sons, 2012, 512 pp.

[7] Koren I., Krishna C., Fault Tolerant Systems, Morgan Kaufmann Publ, San Francisco, CA, 2007, 400 pp. | Zbl

[8] Dubrova E., Fault-Tolerant Design, Springer-Verlag, New York; Springer Science+Business Media, New York, 2013, 185 pp. | DOI | Zbl

[9] Zhang Y., Jiang J., “Bibliographical review on reconfigurable fault-tolerant control systems”, Annual Reviews in Control, 32:2 (2008), 229–252 | DOI

[10] Bielecki T. R., Jakubowski J., Nieweglowski M., “Conditional Markov chains: Properties, construction and structured dependence”, Stochastic Processes and their Applications, 127:4 (2017), 1125–1170 | DOI | Zbl

[11] Ching W. K., Huang X., Ng M. K., Siu T. K., Markov Chains: Models, Algorithms and Applications, International Series in Operations Research Management Science, 189, Springer Science+Business Media, New York, 2013, 241 pp. | DOI | Zbl

[12] Howard R. A., Dynamic Probabilistic Systems, v. 1, Dover Books on Mathematics, Markov Models, Dover Publ., 2007, 608 pp. | Zbl

[13] Howard R. A., Dynamic Probabilistic Systems, v. II, Dover Books on Mathematics, Semi-Markov and Decision Processes, Dover Publ., 2007, 576 pp. | Zbl

[14] Janssen J., Manca R., Applied Semi-Markov Processes, Springer US, 2006, 310 pp. | DOI | Zbl

[15] Larkin E., Ivutin A., Malikov A., “Petri-Markov model of fault-tolerant computer systems”, 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT), 2017, 0416–0420 | DOI

[16] Naess A., Leira B. J., Batsevich O., “System reliability analysis by enhanced Monte Carlo simulation”, Structural Safety, 31:5 (2009), 349–355 | DOI

[17] Sudret B., “Global sensitivity analysis using polinomial chaos expansion”, Reliability Engineering System Safety, 93:7 (2009), 964–979 | DOI

[18] Zaghami S. A., Gunavan I., Shultmann F., “Exact reliability evaluation of infrastructure networks using draph theory”, Quality and Reliability Engineering International, 36:2 (2020), 498–510 | DOI

[19] Finkelstain M., Failure Rate Modelling for Reliability and Risk, Springer Series in Reliability Engineering, Springer, London, 2008, 290 pp. | DOI

[20] Ivutin A. N., Larkin E. V., “Simulation of concurrent games”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 8:2 (2015), 43–54 | DOI | Zbl

[21] Larkin E. V., Ivutin A. N., ““Soncurrency” in M-L-parallel semi-Markov process”, MATEC Web of Conferences, 108 (2017), 05003 | DOI

[22] Petersen P., Linear Algebra, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 2012, 390 pp. | DOI | Zbl

[23] Bauer H., Probability Theory, de Gruyter Publ, Berlin–New York, 1996, 540 pp. | Zbl