Volume 10 Issue 4 ( December )

The system reliability of a multi-spares repairable system with reneging under “N-Policy” is considered. There is a provision of warm and cold reserve units and single repairman. Spares are designed to have exponentially distributed life durations and restoration times. A set of differential-difference equations has been constructed in terms of state dependent letdown and restoration rates. The time dependent analysis has been provided to obtain the states probabilities and to determine ‘system reliability’ and ‘mean time to failure’. Laplace transform of the equations and the matrix technique is used to obtain the probabilities. The cost optimization is also presented. Optimal system parameters have been obtained using a heuristic approach. Various performance indices will be evaluated to explore the outcome of different strictures on the system reliability and ‘mean time to failure’.

Keywords: -N-Policy, Multi-component system, Transient Analysis, Reliability, MTTF, Reneging.