Performance Modeling of Machining System with Mixed Standby Components Balking and Reneging

Abstract

This paper deals with machine repair problem with balking and reneging. There is provision of mixed standby (warm and cold) components to replace the failed machines. The lifetime and repair time are assumed to have exponential distribution. Birth-death technique is suggested to obtain the queue size distribution in explicit form. A repair facility of C permanent repairmen is facilitated to repair the failed machines in FCFS basis. Some special cases are deduced which tally with earlier results. To find out the optimal number of spares and repairmen, a cost function is also mentioned.