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

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.
Comment: 20 pages