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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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2013-05, Vol.43 (3), p.698-707
Main Authors: Ram, M., Singh, S. B., Singh, V. V.
Format: Article
Language:English
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
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Summary: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.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMCA.2012.2217320