Abstract

AbstractThis paper discussed a two-unit cold standby system by considering the concepts of degradation, inspection, preventive maintenance (PM), and priority. The unit works as a reduced capacity after its repair and is called degraded unit. There is a single repairman who visits the system immediately. The repairman inspects the failed degraded unit to see the feasibility of repair. If the repair of the degraded unit is not possible, it is replaced by new unit. PM will provide to the system when both the units are degraded and available for use. Priority for operation and repair is provided to new unit over-degraded unit. Various reliability characteristics such as mean time to system failure (MTSF), availability, busy period of the repairman, expected number of visits by the repairman, and profit of the system have been obtained using regenerative point graphical technique. For particular case, the results for MTSF, availability, and profit function are obtained considering exponential, Rayleigh, and We...

Highlights

  • Complexity of an industrial system depends on the configuration and design of the system

  • If priority is given to new unit for operation and repair over degraded unit it causes the enhancement of mean time to system failure (MTSF), availability, and profit of the system

  • To show the importance of results and characterize the behavior of MTSF, availability, and profit of the system, here we assume that the distribution of failure times of units, repair times of the units, inspection times and preventive maintenance (PM) time, as Weibull distribution with two parameter

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Summary

Introduction

Complexity of an industrial system depends on the configuration and design of the system. A large number of researchers including Srinivasan and Gopalan (1973), Murari and Goyal (1984) and Singh and Mishra (1994) examined the effect of redundancy on reliability of industrial system in various forms These researchers assumed that units work as a new after its repair. To avoid massive computation and long methodology used in regenerative point technique Gupta and Singh (2007, 2008) analyzed various stochastic systems using a new technique called RPGT for determining MTSF, availability of the system, busy period of the repairman, and expected number of visits by the repairman and profit of the system model with the assumption that failure and repair rates are constant. Priority for operation and repair is provided to new unit over degraded unit Various reliability characteristics such as MTSF, availability, busy period of the repairman, expected number of visits by the repairman, and profit of the system have been obtained by using RPGT. The results for MTSF, availability and profit function are obtained considering exponential, Rayleigh, and Weibull distributions for all random variables

Notations
Transition probabilities and mean sojourn times
Results and discussion
Conclusion

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