On the Decay Rates of Buffers in Continuous Flow Lines

D. P. Kroese ()
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D. P. Kroese: The University of Queensland

Methodology and Computing in Applied Probability, 2000, vol. 2, issue 4, 425-441

Abstract: Abstract Consider a tandem system of machines separated by infinitely large buffers. The machines process a continuous flow of products, possibly at different speeds. The life and repair times of the machines are assumed to be exponential. We claim that the overflow probability of each buffer has an exponential decay, and provide an algorithm to determine the exact decay rates in terms of the speeds and the failure and repair rates of the machines. These decay rates provide useful qualitative insight into the behavior of the flow line. In the derivation of the algorithm we use the theory of Large Deviations.

Keywords: continuous flow line; overflow probability; decay rate; methodology; dual flow line (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1010066319278

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