Reliability measures of a cold standby system subject to refreshment
The continuous repair or inspection whenever required of a system made by the server is the main cause of the tiredness of the server, the refreshment is offered to the server whenever needed to enhance his performance. One unit is sufficient to operate the system out of two identical units. The mai...
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| Published in: | International journal of system assurance engineering and management Vol. 14; no. 1; pp. 147 - 155 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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New Delhi
Springer India
01.02.2023
Springer Nature B.V |
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| ISSN: | 0975-6809, 0976-4348 |
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| Abstract | The continuous repair or inspection whenever required of a system made by the server is the main cause of the tiredness of the server, the refreshment is offered to the server whenever needed to enhance his performance. One unit is sufficient to operate the system out of two identical units. The main unit may fail directly, and the other unit may get failed because of remaining unused for an extended period or any other reason. The trained repairman first inspects the unit and then decides to repair or replace the unit in keeping the system operative. To simulate the model in real life it is assumed that the time for refreshment and repair policy has exponential distribution whereas the distributions of unit failure and server failure are used as arbitrary with different probability density functions. A variety of Reliability measures are explored with RPT (regenerative point technique) and semi-Markov process. To conclude the steady of this model, graphs are used corresponding to refreshment rate to show the behavior of some reliability measures such as MTSF, availability, and busy period of the server, and profit by choosing arbitrary values of the parameters. |
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| AbstractList | The continuous repair or inspection whenever required of a system made by the server is the main cause of the tiredness of the server, the refreshment is offered to the server whenever needed to enhance his performance. One unit is sufficient to operate the system out of two identical units. The main unit may fail directly, and the other unit may get failed because of remaining unused for an extended period or any other reason. The trained repairman first inspects the unit and then decides to repair or replace the unit in keeping the system operative. To simulate the model in real life it is assumed that the time for refreshment and repair policy has exponential distribution whereas the distributions of unit failure and server failure are used as arbitrary with different probability density functions. A variety of Reliability measures are explored with RPT (regenerative point technique) and semi-Markov process. To conclude the steady of this model, graphs are used corresponding to refreshment rate to show the behavior of some reliability measures such as MTSF, availability, and busy period of the server, and profit by choosing arbitrary values of the parameters. |
| Author | Kumar, Ajay Barak, M. S. Garg, Reena |
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| Cites_doi | 10.1007/s41872-020-00129-w 10.1016/0026-2714(86)90287-8 10.1016/0026-2714(91)90336-6 10.1080/03772063.2018.1537814 10.1080/23311835.2016.1262937 10.1080/03772063.1989.11436801 10.1080/01621459.1952.10501160 10.1080/00207727908941605 10.1016/0026-2714(87)90620-2 10.1109/TR.1974.5215243 10.1016/0026-2714(83)91374-4 10.1007/s11220-019-0225-3 10.1080/00207728908910253 10.1007/s13198-013-0144-y 10.1504/IJRS.2018.096059 10.22161/ijaers.4.6.4 10.1016/0026-2714(84)90473-6 10.25103/jestr.135.24 10.30699/IJRRS.2.1.2 10.1080/03772063.2020.1838347 10.1007/s10470-019-01556-1 10.1007/s41872-018-0048-6 10.1088/1742-6596/1714/1/012009 10.1080/09720510.2014.914292 10.1080/03772063.1996.11415933 10.1109/TR.1971.5216139 |
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| Copyright | The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2021 The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2021. |
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| Keywords | Identical units Inspection Reliability measures Cold standby Regenerative point technique Refreshment |
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| References | Malik, Barak (CR23) 2009; 79 Singh, Poonia, Rawal (CR31) 2021; 10 Subramanyam, Gopalan (CR33) 2016; 23 CR15 Kadyan, Barak, Gitanjali (CR202) 2020; 7 CR14 CR34 CR32 Kumar, Baweja (CR17) 2015; 11 Kumar, Lal (CR19) 1979; 10 Chellappa (CR5) 1989; 35 Gupta, Goel (CR11) 1991; 31 Goel, Sharma, Gupta (CR8) 1986; 26 Gahlot, Singh, Ayagi, Goel (CR7) 2018; 12 Gupta, Mittal (CR12) 2021; 13 Yadav, Barak (CR35) 2016; 4 Singh, Srinivasu (CR30) 1987; 27 Gupta, Goel (CR10) 1989; 20 Devis (CR6) 1952; 47 CR2 CR4 Kumar, Goel (CR18) 2016; 3 Raghav, Pooni, Gahlot, Singh, Ayagi, Abdullahi (CR26) 2020; 27 CR28 Goyal, Murari (CR9) 1984; 24 Osaki, Nakagawa (CR25) 1971; 19 CR24 CR203 Barak, Yadav, Barak (CR1) 2017; 4 Kumar, Singh, Saini, Dahiya (CR200) 2020; 13 Rawat, Sushil, Agarwal, Sikander (CR27) 2021; 67 Singh (CR29) 1987; 27 Hassan, Assaleh, Shanableh (CR16) 2019; 20 Birolini (CR3) 1974; R-23 Malik (CR22) 2013; 4 Kumar, Sirohi (CR20) 2015; 117 SK Singh (1317_CR29) 1987; 27 DJ Devis (1317_CR6) 1952; 47 A Rawat (1317_CR27) 2021; 67 S Osaki (1317_CR25) 1971; 19 M Hassan (1317_CR16) 2019; 20 1317_CR15 V Singh (1317_CR31) 2021; 10 1317_CR14 D Yadav (1317_CR35) 2016; 4 A Birolini (1317_CR3) 1974; R-23 V Gupta (1317_CR12) 2021; 13 1317_CR203 1317_CR34 R Gupta (1317_CR11) 1991; 31 A Kumar (1317_CR19) 1979; 10 1317_CR32 MS Barak (1317_CR1) 2017; 4 1317_CR2 V Goyal (1317_CR9) 1984; 24 J Kumar (1317_CR18) 2016; 3 RN Subramanyam (1317_CR33) 2016; 23 1317_CR4 SC Malik (1317_CR22) 2013; 4 M Gahlot (1317_CR7) 2018; 12 P Kumar (1317_CR20) 2015; 117 1317_CR24 R Chellappa (1317_CR5) 1989; 35 SK Singh (1317_CR30) 1987; 27 SC Malik (1317_CR23) 2009; 79 1317_CR28 A Kumar (1317_CR200) 2020; 13 S Kadyan (1317_CR202) 2020; 7 LR Goel (1317_CR8) 1986; 26 R Gupta (1317_CR10) 1989; 20 A Kumar (1317_CR17) 2015; 11 D Raghav (1317_CR26) 2020; 27 |
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| SubjectTerms | Cold Engineering Engineering Economics Inspection Logistics Marketing Markov processes Organization Original Article Preventive maintenance Probability Probability density functions Probability distribution functions Quality Control Reliability Safety and Risk State failure |
| Title | Reliability measures of a cold standby system subject to refreshment |
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