Neutrosophic Reliability Assessment of Hydroelectric Power  Plant using Universal Generating Function Technique

Kanak Saini; Monika Saini; Ashish Kumar; Dinesh Kumar Saini

Authors

Kanak Saini Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur-303007, India
Monika Saini Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur-303007, India
Ashish Kumar Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur-303007, India
Dinesh Kumar Saini Department of IOT & Intelligent Systems, Manipal University Jaipur, Jaipur-303007, India

Keywords:

Neutrosophic reliability, triangular neutrosophic number, mean time to failure, sustainable manufacturing system, universal generating function.

Abstract

The main objective of present study is to assess the reliability measures of a hydroelectric
power plant under neutrosophic environment. There are several reliability evaluations like
Markovian approach, Semi-Markovian approach, etc. However, these techniques fail to deal with
the fuzziness of the data due to impreciseness. For this purpose, here universal generating function
technique is used to evaluate the reliability and mean time to failure of hydroelectric power plant.
The hydroelectric power plant is a complex structure having six subsystems having configured in
series structure. The subsystem, namely turbine configured according to parallel redundancy. Each
neutrosophic variable is illustrated by a triangular neutrosophic number and follows the Weibull
distribution. Numerical results of reliability and MTTF are derived for understanding the system’s
behaviour using triangular neutrosophic number. To highlight the importance of MTTF results are
also represented graphically.

DOI: 10.5281/zenodo.15265645