Abstract
Machine interference problems with state-dependent nonlinear repair rates depicting threshold behaviour are described. Stochastic analysis of the temporal evolution of the number of failed machines is possible by the ‘diffusion approximation’ method which can be systematically carried out to the desired degree of approximation. Thus one is able to study the system’s widely differing stochastic behaviour near and away from the threshold point. Finally we point out the utility of this analysis to computer systems modelling.
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Karmeshu Queueing models with threshold phenomena: With special reference to machine interference problems. Sadhana 15, 319–330 (1990). https://doi.org/10.1007/BF02811328
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DOI: https://doi.org/10.1007/BF02811328