Mathematics, Guru Nanak Dev University
Mathematics, I.B.S, AGRA
Department Of Mathematics, IIT Roorkee,Roorkee,India
In this paper we describe G/G/R+s multi- repairmen machining system with balking. The system consists of M operating machines, S spare machines, R permanent and s additional repairmen. Assuming the discrete flow of machines by continuous one, the diffusion approximation technique for the machine repair system has developed. The system will be in normal working mode if there is M operating machines. When there are less than M and ≤ m, the system is called as short system. The failure rates of operating units in short and normal modes are different. By using the mean and square coefficient of variation of failure and repair time distributions, the queue size distribution has been established. Various performance indices viz. expected number of failed machines, average operating machines etc. have been derived.