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L 2-Decay rate for non-ergodic Jackson network |
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| Authors: | Huihui Cheng Yonghua Mao |
| Institution: | 1. School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, 450045, China 2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China |
| Abstract: | We establish the additive theorem of L 2-decay rate for multidimensional Markov process with independent marginal processes. Using this and the decomposition method, we obtain explicit upper and lower bounds for decay rate of non-ergodic Jackson network. In some cases, we get the exact decay rate. |
| Keywords: | L^2-Decay rate additive theorem decomposition method Jacksonnetwork |
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