Availability estimation of nuclear reactor with standby generators by employing pre-emptive resume repair policy

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Abstract

In this paper, the authors have studied about availability estimation of nuclear power generation plants. If any
of the subsystems stops working, then the whole system gets fail. Pre-emptive resume policy has been used
for repair purposes, for failures follow exponential time distribution, whereas all repairs follow general time
distribution. The system under consideration is non- Markovian the supplementary variable technique has been
used for the mathematical formulation of the model. Laplace transforms are being utilized to solve mathematical
equations. Some particulate cases and asymptotic behavior of the system have also been derived to improve
the model’s practical importance. The expression for the availability function has been computed. A numerical
problem, together with its graphical representation, has been appended in the end to highlight actual results.

Keywords:

Nuclear reactor, generation plants

Mathematics Subject Classification:

Mathematics
  • A. Kumar Department of Mathematics, Brahmanand College, Kanpur 208004 UP, India.
  • Sushil Kumar Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi, India.
  • Sunit Kumar Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi, India.
  • Pages: 829-835
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

A. Kumar, Sushil Kumar, and Sunit Kumar. “Availability Estimation of Nuclear Reactor With Standby Generators by Employing Pre-Emptive Resume Repair Policy”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 829-35, https://www.malayajournal.org/index.php/mjm/article/view/1167.