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Performance measures of a multi-layer Markovian fluid model. (English) Zbl 1145.60048
The paper analyzes a multi-layer fluid flow model, which can be useful in modelling many real world systems with threshold controls, in which the behaviour of the fluid changes at the boundaries. It introduces several time-related performance measures and obtains the expressions for the Laplace-Stieltjes transforms for them. The results have been illustrated by evaluating more detailed performance measures of a model that exist in the literature. The paper also demonstrates that its technique is practical for the numerical determination of probability density function, as well as probabilities and moments.

MSC:
60K25 Queueing theory (aspects of probability theory)
60K30 Applications of queueing theory (congestion, allocation, storage, traffic, etc.)
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