Abstract

This study presents the stochastic analysis of a two unit parallel system subject to random shocks. There is a single server who visits immediately to do maintenance and repair of the system. The operative units in the system undergo for maintenance if they are affected by the impact of shocks with some probabilities. However, repair of the units is done when they fail due to some other reasons. The unit works as new after maintenance and repair. The distributions of random shocks and failure times of the unit follow negative exponential while that of maintenance and repair times are taken as arbitrary with different probability density functions. Using regenerative point technique and semi-Markov process, several measures of system effectiveness are obtained in steady state. The graphical behavior of MTSF, availability and profit function has been analyzed for particular values of various parameters and costs. Profit of the present model has also been made with the profit of the system model proposed by Malik and Chhillar (2012).

Keywords:

Maintenance and repair, parallel system, random shocks,

References

1. Malik, S.C. and S.K. Chhillar, 2012. Profit analysis of a cold standby system under maintenance and repair subject to random shocks. Int. J. Math. Arch., 3(11): 3975-3981.
   
2. Murari, K. and V. Goyal, 1984. Comparison of two-unit cold standby reliability models with three types of repair facilities. J. Microelectron. Reliab., 24(1): 35-49.
   CrossRef    
3. Murari, K. and A.A. Al-Ali, 1988. One unit reliability system subject to random shocks and preventive maintenance. J. Microelectron. Reliab., 28(3): 373-377.
   CrossRef    
4. Singh, S.K., 1989. Profit evaluation of a two-unit cold standby system with random appearance and disappearance time of the service facility. Microelectron. Reliab., 29: 705-709.
   CrossRef    
5. Wu, Q. and S. Wu, 2011. Reliability analysis of a two-unit cold standby reparable systems under poison shocks. Appl. Math. Comput., 218(1): 171-182.
   CrossRef    

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.