Asymptotic product-form steady-state for generalized Jackson networks in multi-scale heavy traffic
| Autor: | Dai, J. G., Glynn, Peter, Xu, Yaosheng |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove that under a multi-scale heavy traffic condition, the stationary distribution of the scaled queue length vector process in any generalized Jackson network has a product-form limit. Each component in the product form has an exponential distribution, corresponding to the Brownian approximation of a single station queue. The ``single station'' can be constructed precisely and its parameters have a good intuitive interpretation. Comment: 22 pages |
| Databáze: | arXiv |
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