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

Neama Salah Youssef Temraz

doi:10.1016/j.heliyon.2021.e07717

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

Neama Salah Youssef Temraz

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Article number	e07717
Journal	Heliyon
Volume	7
Issue number	8
DOIs	https://doi.org/10.1016/j.heliyon.2021.e07717
State	Published - Aug 2021

Keywords

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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10.1016/j.heliyon.2021.e07717

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

abstract = "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.",

keywords = "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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AB - 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.

KW - Bell-shaped membership function

KW - Erlang distribution

KW - Fuzzy parameters

KW - Mean time to system failure (MTTF)

KW - Mixed standby units

KW - Preventive maintenance (PM)

KW - Regenerative point technique

KW - Semi-Markov process

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SN - 2405-8440

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JO - Heliyon

JF - Heliyon

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M1 - e07717

ER -

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

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Keywords

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