Reliability and Fault Analysis of a Stochastic Model of a Standby System with Cost Depended Repair/Replacement of Substandard Unit and Correlated Life Time

Authors

  • Sarita Department of Mathematics, BMU, Rohtak, Haryana, India
  • P. Bhatia Department of Mathematics, BMU, Rohtak, Haryana, India
  • S. Kumar Department of Mathematics, PITE, Panipat, India
  • H. K. Dhingra Mody University of Science and Technology, Lakshmangarh, Rajasthan, India

DOI:

https://doi.org/10.3329/jsr.v14i2.57494

Abstract

The present paper deals with the reliability and fault analysis of a stochastic model for two non-identical units, in which the first unit is kept as operative and the other sub-standard one. The sub-standard unit may be repaired or may be replaced by another sub-standard unit on its failure, depending on the cost of repairing/replacement. Failure and repair times are considered correlated using bivariate point exponential distribution. Analysis of a system is done to find various reliability measures, which gives the system's effectiveness. The conclusion about these reliability measures is carried out by graphical studies. The main emphasis is on the correlation between repair time and failure time.

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Published

2022-05-01

How to Cite

Sarita, Bhatia, P. ., Kumar, S. ., & Dhingra, H. K. (2022). Reliability and Fault Analysis of a Stochastic Model of a Standby System with Cost Depended Repair/Replacement of Substandard Unit and Correlated Life Time. Journal of Scientific Research, 14(2), 559–568. https://doi.org/10.3329/jsr.v14i2.57494

Issue

Vol. 14 No. 2 (2022)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.