Mathematics, Guru Nanak Dev University
Mathematics, I.B.S, AGRA
Department Of Mathematics, IIT Roorkee,Roorkee,India
The machine repair problem with spares and additional repairman is analyzed. The interfailure and repair times of the units are general identical and independently distributed. The failure and repair rates are assumed to be state dependent. Using diffusion approximation technique, we obtain the queue size distribution under steady state. The average number of failed units, average number of operating units in the system and the probability of the system being short are obtained by using the queue size distribution.