On large queue lengths in generalised Jackson networks
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908727478583296 |
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| author | Puhalskii, Anatolii A. |
| author_facet | Puhalskii, Anatolii A. |
| contents | This paper proves a large deviation principle (LDP) for the stationary distribution of queue lengths in a subcritical generalised Jackson network assuming a Cramer condition on the interarrival and service times. The deviation function is given by the quasipotential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19098 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On large queue lengths in generalised Jackson networks Puhalskii, Anatolii A. Probability This paper proves a large deviation principle (LDP) for the stationary distribution of queue lengths in a subcritical generalised Jackson network assuming a Cramer condition on the interarrival and service times. The deviation function is given by the quasipotential. |
| title | On large queue lengths in generalised Jackson networks |
| topic | Probability |
| url | https://arxiv.org/abs/2512.19098 |