Reliability Analysis of Cold Standby Parallel System Possessing Failure and Repair Rate Under Geometric Distribution

Abstract

Background and Aim: With an increase in demands about the reliability of industrial machines following continuous or discrete distribution, the important thing to be noticed is that in all previous research works where systems had more than one failure, no iteration technique was studied to separate the failed unit on the basis of its failure. Therefore, the aim of our paper is to analyze the real industrial problems following cold standby units arranged in parallel manner with the new concept of inspection procedure for failed units to detect the exact failure and being the communicator to the repairman for repairing the exact failed part of the unit for saving time and maintenance cost. Methods: The geometric distribution and regenerative techniques were applied for calculating different reliability measures like mean time to system failure, availability of a system, inspection, repair and the time of unit failure. Results: Graphical and analytical analyses were also conducted to analyze the increasing/decreasing behavior of profit function w.r.t repair and failure rate. The system responded properly in fulfilling the basic needs. Conclusion: The calculated value of all reliability parameters proved helpful for studying any other models following the same concept under different environmental conditions. Thus, it can be concluded that, reliability increases with an increase in the repair and decreases with an increase in the failure rate. Also, the results evaluated in this paper provide the better reliability testing strategies that help develop new techniques which lead to increase the effectiveness of the system.