Decay property of stopped $M^X/M/1$-queueing networks

Published 28 Apr 2024 in math.PR | (2404.18044v1)

Abstract: In this paper, we mainly consider the decay property of stopped $M^{X/M/1$-queueing} networks with $d (\geq 2)$ nodes. The exact value of the decay parameter $\lambda_{\mathcal{C}}$ is obtained by using a new method. Then, the corresponding $\lambda_{\mathcal{C}}$-invariant measures and quasi-distributions are presented.

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