Geodesic
Stochastic analysis to mechanical system to its reliability with varrying repairing services
Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 92-104.

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

Reliability is enhancing its value in the advancement of mechanical and industrial world by incorporating the repair mechanism, availability and manufacturing possibility of machines with varying working capacity in all conditions. The present paper is an initiative taken with a mechanical system operating with single repair server facility for varying nature of failures and services. Passive standby machine strategy is adopted for maintaining reliability at a gratified level in the system. The inspection process is included for filtering the machines according to its failure or to the level of repair services. The computed numerical and graphical data is proved to be beneficial for clarifying the profit and reliability behaviour with increasing/decreasing rate of repair mechanism and failure rate. The preference policy has been initiated for regular failure or to the failure requiring normal servicing charges and time period than major ones to avoid the waiting time for normal customer.
Keywords: Reliability modelling, geometric distribution, system availability, failure, inspection, maintenance cost and profit function. 
@article{CHEB_2021_22_1_a6,
     author = {J. Bhatti and M. K. Kakkar and M. Kaur and Deepika and P. Khanna},
     title = {Stochastic analysis to mechanical system to its reliability with varrying repairing services},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {92--104},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a6/}
}
TY  - JOUR
AU  - J. Bhatti
AU  - M. K. Kakkar
AU  - M. Kaur
AU  - Deepika
AU  - P. Khanna
TI  - Stochastic analysis to mechanical system to its reliability with varrying repairing services
JO  - Čebyševskij sbornik
PY  - 2021
SP  - 92
EP  - 104
VL  - 22
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a6/
LA  - en
ID  - CHEB_2021_22_1_a6
ER  - 
%0 Journal Article
%A J. Bhatti
%A M. K. Kakkar
%A M. Kaur
%A Deepika
%A P. Khanna
%T Stochastic analysis to mechanical system to its reliability with varrying repairing services
%J Čebyševskij sbornik
%D 2021
%P 92-104
%V 22
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a6/
%G en
%F CHEB_2021_22_1_a6
J. Bhatti; M. K. Kakkar; M. Kaur; Deepika; P. Khanna. Stochastic analysis to mechanical system to its reliability with varrying repairing services. Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 92-104. http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a6/

[1] Bhardwaj N., Kumar A., Kumar S., “Stochastic analysis of a single unit redundant system with two kinds of failure and repairs”, Reflections des. ERA-JMS, 3:2 (2008), 115–134

[2] Bhardwaj N., “Analysis of two-unit redundant system with imperfect switching and connection time”, International Transactions in Mathematical Sciences and Computer, 2:2 (2009), 195–202 | Zbl

[3] Haggag M. Y., “Cost analysis of a system iInvolving common cause failures and preventive maintenance”, J. Math and Stat., 5:4 (2009), 305–310 | DOI | Zbl

[4] Haggag M. Y., “Cost analysis of two-dissimilar unit cold standby system with three states and preventive maintenance using linear first order differential equations”, J. Math and Stat., 5:4 (2009), 395–400 | DOI | MR | Zbl

[5] Rizwan S. M., Khurana V., Taneja G., “Reliability analysis of a hot standby industrial system”, International Journal of Modelling and Simulation, 30:3 (2010), 315–322 | DOI

[6] Kumar A., Malik S. C., “Reliability modeling of a computer system with priority to S/w replacement over H/w replacement subject to MOT and MRT”, International Journal of Pure and Applied Mathematics, 80:5 (2012), 693–709 | MR

[7] Singh D., Taneja G., “Reliability and economic analysis of a power generating system comprising one gas and one steam turbine with random inspection”, Journal of Mathematics and Statistics, 10:4 (2014), 436–442 | DOI

[8] Malhotra R., Taneja G., “Stochastic analysis of a two-unit cold standby system wherein both units may become operative depending upon the demand”, Journal of Quality and Reliability Engineering, 2014, 1–13 | DOI

[9] Malhotra R., Taneja G., “Comparative study between a single unit system and a two unit cold standby system with varying demand”, SpringerPlus, 4 (2015), 1–17 | DOI

[10] Bhatti J., Chitkara A., Kakkar M., “Stochastic analysis of parallel system with two discrete failures”, Model Assisted Statistics and Applications, 9 (2014), 257–265 | DOI

[11] Kakkar M. K., Bhatti J., “Reliability and profit analysis of standby unit system with correlated life time in an industry”, Advance Study in Contemporary Mathematics, 25:3 (2015), 333–340 | Zbl

[12] Kakkar M. K., Chitkara A. K., Bhatti J., “Reliability analysis of two-unit parallel repairable industrial system”, Decision Science Letters, 4 (2015), 525–536 | DOI

[13] Kakkar M. K., Chitkara A. K., Bhatti J., “Reliability analysis of two dissimilar parallel unit repairable system with failure during preventive maintenance”, Management Science Letters, 6 (2016), 285–296 | DOI

[14] Bhatti J., Chitkara A., Kakkar M., “Stochastic analysis of dis-similar standby system with discrete failure, inspection and replacement policy”, Demonstratio Mathematica, 49:2 (2016), 224–235 | DOI | MR | Zbl

[15] Hua D. G., Elsayed E., “Reliability estimation of k-out-of-npairs: G balanced systems with spatially distributed units”, IEEE Trans. Reliab., 65 (2016), 886–900 | DOI

[16] Hua D. G., Elsayed E., “Degradation analysis of k-out-of-n pairs: G balanced systems with spatially distributed units”, IEEE Trans Reliab., 65 (2016), 941–956 | DOI

[17] Iqbal P., Uduman P. S. S., “Reliability analysis of paper plant using boolean function with fuzzy logic technique”, International Journal of Applied Engineering Research, 11:1 (2016), 573–577 | DOI

[18] Taj S. Z., Rizwan S. M., Alkali B. M., Harrison D. K., Taneja G., “Probabilistic modeling and analysis of a cable plant subsystem with priority to repair over preventive maintenance”, I-Managers Journal on Mathematics, 6:3 (2017), 12–21

[19] Adlakha N., Taneja G., Shilpi, “Reliability and cost-benefit analysis of a two-unit cold standby system used for communication through satellite with assembling and activation time”, International Journal of Applied Engineering Research, 12:20 (2017), 9697–9702

[20] Cui L. R., Gao H. D., Mo Y. C., “Reliabilities for k-out-of-n: F balanced systems with m sectors”, IISE Trans., 50:5 (2017), 381–393 | DOI

[21] Cui L. R., Chen J. H., Li X. C., “Balanced reliability systems under Markov processes”, IISE Trans., 51:9 (2018), 1025–1035 | DOI | MR

[22] Endharta A. J., Yun W. Y., Ko Y. M., “Reliability evaluation of circular k-out-of-n:G balanced systems through minimal path sets”, Reliability Engineering and System Safety, 180 (2018), 220–236 | DOI

[23] Chen W. L., “System reliability analysis of retrial machine repair systems with warm standbys and a single server of working breakdown and recovery policy”, System Engineering, 21 (2018), 59–69 | DOI

[24] Bhardwaj S., Bhardwaj N., Kumar V., Parashar B., “Estimation of lifespan of diesel locomotive engine”, Journal of Information and Optimization Sciences, 40:5 (2019), 1097–1108 | DOI

[25] Dong Q. L., Cui L. R., Si S. B., “Reliability and availability analysis of stochastic degradation systems based on bivariate wiener processes”, Appl. Math. Model., 79 (2019), 414–433 | DOI | MR

[26] Wu H., Li Y. F., Bérenguer C., “Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system”, Reliability Engineering and System Safety, 193 (2019), 1–11

[27] Jia H. P., Ding Y., Peng R., Liu H. L., Song Y. H., “Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering warm standby”, Reliability Engineering and System Safety, 195 (2019), 1–11

[28] Fang C., Cui L., “Reliability analysis for balanced engine systems with m sectors by considering start-up probability”, Reliability Engineering and System Safety, 197 (2019), 1–10 | DOI

[29] Kakkar M. K, Bhatti J, Malhotra R., Kaur M., Goyal D., “Availability analysis of an industrial system under the provision of replacement of a unit using genetic algorithm”, International Journal of Innovative Technology and Exploring En-gineering (IJITEE), 9 (2019), 1236–1241 | DOI

[30] Bhatti J., Kakkar M. K., “Reliability analysis of cold standby parallel system possessing failure and repair rate under geometric distribution”, Recent Advances in Computer Science and Communications, 13 (2020), 1–7 | DOI | MR