The Machine Interference Model; $(m, n)$ Systems with Balking and Spares


Keywords:
Poisson Queue, Birth-Death coefficients, Probability differential difference equations, Up Time Ratio (UTR)Abstract
In this paper, we have obtained an analytical solution of the queue: (m, n) system for machine interference with balking and spares considering the discipline FIFO. The probabilities have been calculated for the transient case, we have calculated the system availability and up time ratio. They had studied $(m, n)$ system with spares only. It has been discussed the truncated Poissonion queue: $MIM/C/k/N$ for machine interference but without assumption of balking, reneging or spares, They considered the system; MIMICm m with spares only. Medhi obtained a solution for the system: $MIMIC/mn/rn$ without assumption of balking, reneging or spares, and derived an analytical solution of the queue: $M/MJC/k/N$ for machine interference with balking, reneging and spares.
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