A closed form solution for the G/M/r machine interference model

A closed form solution for the G/M/r machine interference model

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Article ID: iaor1988337
Country: United Kingdom
Volume: 26
Issue: 11
Start Page Number: 1811
End Page Number: 1818
Publication Date: Nov 1988
Journal: International Journal of Production Research
Authors: ,
Abstract:

This paper solves the machine interference problem in which N different machines are looked after by a team of r operatives. The run time of each machine is assumed to have a general distribution, different for each machine, and the repair times are assumed to have a negative exponential distribution with different means for the different machines. An explicit expression for the probability that a particular group of machines is found running in the steady state is derived. From this other useful measures for the system can be obtained. It is shown that these depend on the run time distributions only through the means of those distributions.

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