Asymptotic Product-form Steady-state for Multiclass Queueing Networks: A Reentrant Line Case Study
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917827019014144 |
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| author | Dai, Jim Huo, Dongyan |
| author_facet | Dai, Jim Huo, Dongyan |
| contents | This paper serves as a companion to "Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic." In this short paper, we illustrate the main results of the main paper through a two-station, five-class reentrant line under a specific static buffer priority policy, while avoiding heavy notations. For this example, we prove the asymptotic steady-state limit and uniform moment bound under general inter-arrival and service time distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00930 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic Product-form Steady-state for Multiclass Queueing Networks: A Reentrant Line Case Study Dai, Jim Huo, Dongyan Probability 60K25, 60J27, 60K37 This paper serves as a companion to "Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic." In this short paper, we illustrate the main results of the main paper through a two-station, five-class reentrant line under a specific static buffer priority policy, while avoiding heavy notations. For this example, we prove the asymptotic steady-state limit and uniform moment bound under general inter-arrival and service time distributions. |
| title | Asymptotic Product-form Steady-state for Multiclass Queueing Networks: A Reentrant Line Case Study |
| topic | Probability 60K25, 60J27, 60K37 |
| url | https://arxiv.org/abs/2411.00930 |