Comparison of fuzzy semi-Markov models for one unit with mixed standby units with and without preventive maintenance using regenerative point method

This paper introduced a study for a new system that consists of one unit with mixed standby units. The mathematical model for the system is constructed using semi-Markov model with regenerative point technique in two cases: the first case when there is preventive maintenance provided to the main uni...

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Bibliographic Details
Published in:Heliyon 2021-08, Vol.7 (8), p.e07717-e07717, Article e07717
Main Author: Temraz, Neama Salah Youssef
Format: Article
Language:English
Subjects:
Bell-shaped membership function
Erlang distribution
Fuzzy parameters
Mean time to system failure (MTTF)
Mixed standby units
Preventive maintenance (PM)
Regenerative point technique
Semi-Markov process
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Summary:This paper introduced a study for a new system that consists of one unit with mixed standby units. The mathematical model for the system is constructed using semi-Markov model with regenerative point technique in two cases: the first case when there is preventive maintenance provided to the main unit and the second case when there is no preventive maintenance in the system. Life and repair times of the units in the system are assumed to be generally distributed with fuzzy parameters defined by the bell-shaped membership function. A Numerical application is introduced to compare the performance of the system in the two cases. Semi-Markov process; Mean time to system failure (MTTF); Regenerative point technique; Mixed standby units; Preventive maintenance (PM); Fuzzy parameters; Bell-shaped membership function; Erlang distribution
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2021.e07717