Abstract
AbstractWe consider a multivariate Lévy process where the first coordinate is a Lévy process with no negative jumps which is not a subordinator and the others are non-decreasing. We determine the Laplace–Stieltjes transform of the steady-state buffer content vector of an associated system of parallel queues. The special structure of this transform allows us to rewrite it as a product of joint Laplace–Stieltjes transforms. We are thus able to interpret the buffer content vector as a sum of independent random vectors.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference13 articles.
1. Stability and structural properties of stochastic storage networks
2. Queues and Lévy Fluctuation Theory
3. Ruin Probabilities
4. [9] Kella, O. and Whitt, W. (1992). A tandem fluid network with Lévy input. In Queueing and Related Models, eds U. N. Bhat and I. V. Basawa. Oxford University Press.
5. Queues and Risk Models with Simultaneous Arrivals
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