STOCHASTIC MODELING OF SINGLE UNIT SYSTEMS WITH DELIBERATED FAILURES SUBJECT TO WARRANTY

Authors

  • Ashish Kumar Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, India
  • Ravi Chaudhary Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, India
  • Kapil Kumar Department of Statistics, Central University of Haryana, Mahendragarh, India
  • Monika Saini Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, India

Keywords:

Single-Unit System, Warranty, Deliberate, Failure, Lindley distribution

Abstract

The prominent objective of present study is to analyse the impact of warranty and deliberated failures on single unit systems.
A novel stochastic model is developed using regenerative point technique (RPT) and semi-Markovian approach (SMA) for a
single unit system. The system suffers due to two types of failures with warranty period namely normal failure and deliberated
failure. Warranty period for the system is prespecified and after that no provision of extended warranty is made. All kinds of
failure rates, repair rates are Lindley distributed while warranty period follows exponential distribution. Various measures of
system effectiveness derived. The numerical values of these measures are derived for a particular case with respect to failure
and repair rates.

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Published

2024-06-05

How to Cite

Kumar, A., Chaudhary, R., Kumar, K., & Saini, M. (2024). STOCHASTIC MODELING OF SINGLE UNIT SYSTEMS WITH DELIBERATED FAILURES SUBJECT TO WARRANTY. Investigación Operacional, 44(2). Retrieved from https://revistas.uh.cu/invoperacional/article/view/9336

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