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

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Section

Section A: Physical and Mathematical Sciences