Reliability Modeling and Profit Analysis of a Warm Standby Centrifuge System with Tired Repairman and Imperfect Repair

This paper displays the reliability modeling and profit maximization of a two-unit warm standby centrifuge system having one repairman. The model takes into account two realistic factors, fatigue of repairman, which will decrease repair efficiency with time, and imperfect repair, in which the repaired unit will not necessarily be able to reach full performance. Reliability measures related to the system availability, mean time to failure and busy period of the repairman are obtained using regenerative point technique and Markov process. The profit equation is developed based on the revenue earned when the system is operational and expenses involved in repair and downtime. A sensitivity analysis and numerical illustrations are implemented to investigate the effect of repairman fatigue and imperfect repair on system performance and overall profit. The findings are helpful in the enhancement of maintenance policies and efficiency of operations in industrial centrifuge systems.