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Stochastic Analysis of a Standby System With Waiting Repair Strategy
This paper investigates the reliability of a standby system incorporating waiting time to repair. The considered system consists of two units, namely, the main unit and the standby unit. Whenever the main unit fails, the whole load is transferred to the standby unit instantaneously by a switching-ov...
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| Published in: | IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2013-05, Vol.43 (3), p.698-707 |
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| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c358t-edcbf931930b3f813933d43f0702f7e49329af3902beeb9d972e317b2163f7a93 |
| container_end_page | 707 |
| container_issue | 3 |
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| container_title | IEEE transactions on systems, man, and cybernetics. Systems |
| container_volume | 43 |
| creator | Ram, M. Singh, S. B. Singh, V. V. |
| description | This paper investigates the reliability of a standby system incorporating waiting time to repair. The considered system consists of two units, namely, the main unit and the standby unit. Whenever the main unit fails, the whole load is transferred to the standby unit instantaneously by a switching-over device. As regards to the repairing of the main unit, it has to wait for repair whenever it fails due to unavailability of repair facility. When both the main and standby units fail, then the system goes to the complete failure mode. The system may also fail due to incorrect start of the system, which can occur due to an untrained and inexperience operator. The repair of the main and standby units follows general distribution, whereas repair due to human error is obtained with the help of Gumbel-Hougaard family copula. The system is analyzed by supplementary variable technique and Laplace transformation. Various reliability measures like availability, mean time to failure, and profit function have been evaluated for the considered system. A numerical example with a way to illustrate the utility of the model has also been presented. |
| doi_str_mv | 10.1109/TSMCA.2012.2217320 |
| format | article |
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B. ; Singh, V. V.</creator><creatorcontrib>Ram, M. ; Singh, S. B. ; Singh, V. V.</creatorcontrib><description>This paper investigates the reliability of a standby system incorporating waiting time to repair. The considered system consists of two units, namely, the main unit and the standby unit. Whenever the main unit fails, the whole load is transferred to the standby unit instantaneously by a switching-over device. As regards to the repairing of the main unit, it has to wait for repair whenever it fails due to unavailability of repair facility. When both the main and standby units fail, then the system goes to the complete failure mode. The system may also fail due to incorrect start of the system, which can occur due to an untrained and inexperience operator. The repair of the main and standby units follows general distribution, whereas repair due to human error is obtained with the help of Gumbel-Hougaard family copula. 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V.</creatorcontrib><title>Stochastic Analysis of a Standby System With Waiting Repair Strategy</title><title>IEEE transactions on systems, man, and cybernetics. Systems</title><addtitle>TSMC</addtitle><description>This paper investigates the reliability of a standby system incorporating waiting time to repair. The considered system consists of two units, namely, the main unit and the standby unit. Whenever the main unit fails, the whole load is transferred to the standby unit instantaneously by a switching-over device. As regards to the repairing of the main unit, it has to wait for repair whenever it fails due to unavailability of repair facility. When both the main and standby units fail, then the system goes to the complete failure mode. The system may also fail due to incorrect start of the system, which can occur due to an untrained and inexperience operator. The repair of the main and standby units follows general distribution, whereas repair due to human error is obtained with the help of Gumbel-Hougaard family copula. The system is analyzed by supplementary variable technique and Laplace transformation. Various reliability measures like availability, mean time to failure, and profit function have been evaluated for the considered system. A numerical example with a way to illustrate the utility of the model has also been presented.</description><subject>Applied sciences</subject><subject>Availability</subject><subject>cost benefit analysis</subject><subject>Cybernetics</subject><subject>Distribution theory</subject><subject>Exact sciences and technology</subject><subject>Maintenance engineering</subject><subject>Mathematical analysis</subject><subject>Mathematical model</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>mean time to failure (TTF) (MTTF)</subject><subject>Operational research and scientific management</subject><subject>Operational research. Management science</subject><subject>Probability and statistics</subject><subject>Queuing theory. Traffic theory</subject><subject>Random access memory</subject><subject>Reliability theory. Replacement problems</subject><subject>Repair</subject><subject>Repairing</subject><subject>Safety</subject><subject>Sciences and techniques of general use</subject><subject>Statistics</subject><subject>Strategy</subject><subject>Studies</subject><subject>system modeling</subject><subject>Utilities</subject><issn>2168-2216</issn><issn>2168-2232</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNpdkM1qwzAQhEVpoSHNC7QXQyn04lTaTSTrGNJfaCnUKTka2ZYSBcdOJeXgt6_dhBx62oX9ZtgZQq4ZHTNG5cMi_ZjPxkAZjAGYQKBnZACMJzEAwvlpZ_ySjLzfUNqhCUfKB-QxDU2xVj7YIprVqmq99VFjIhWlQdVl3kZp64PeRksb1tFS2WDrVfSld8q6DnEq6FV7RS6MqrweHeeQfD8_Leav8fvny9t89h4XOE1CrMsiNxKZRJqjSRhKxHKChgoKRuiJRJDKoKSQa53LUgrQyETePY5GKIlDcn_w3bnmZ699yLbWF7qqVK2bvc8Y8mmXDLBHb_-hm2bvuoA9BUIwEEg7Cg5U4RrvnTbZztmtcm3GaNZ3m_11m_XdZsduO9Hd0Vr5QlXGqbqw_qQEwYXApH_h5sBZrfXpzCcJ8KnEXzWCf-E</recordid><startdate>20130501</startdate><enddate>20130501</enddate><creator>Ram, M.</creator><creator>Singh, S. 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| subjects | Applied sciences Availability cost benefit analysis Cybernetics Distribution theory Exact sciences and technology Maintenance engineering Mathematical analysis Mathematical model Mathematical models Mathematics mean time to failure (TTF) (MTTF) Operational research and scientific management Operational research. Management science Probability and statistics Queuing theory. Traffic theory Random access memory Reliability theory. Replacement problems Repair Repairing Safety Sciences and techniques of general use Statistics Strategy Studies system modeling Utilities |
| title | Stochastic Analysis of a Standby System With Waiting Repair Strategy |
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