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


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Authors

  • R. Sivaraman Department of Mathematics, D. G. Vaishnav College, Chennai, Tamil Nadu, India

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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Published

15-06-2019

How to Cite

R. Sivaraman. (2019). The Machine Interference Model; $(m, n)$ Systems with Balking and Spares. International Journal of Mathematics And Its Applications, 7(2), 183–188. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/261

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Section

Research Article