Academic Journal
Diffusion parameters of flows in stable multi-class queueing networks
| العنوان: | Diffusion parameters of flows in stable multi-class queueing networks |
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| المؤلفون: | Moka, Sarat Babu, Nazarathy, Yoni, Scheinhardt, Werner |
| المصدر: | Moka , S B , Nazarathy , Y & Scheinhardt , W 2023 , ' Diffusion parameters of flows in stable multi-class queueing networks ' , Queueing Systems , vol. 103 , no. 3-4 , pp. 313-346 . https://doi.org/10.1007/s11134-022-09869-1 |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | Asymptotic variance, Diffusion limits, Queueing networks |
| الوصف: | We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes the system stable. We study the variability of flows within the network. Computable expressions for quantifying flow variability have previously been discussed in the literature. However, in this paper, we shed more light on such analysis to justify the use of these expressions in the asymptotic analysis of network flows. Toward that end, we find a simple diffusion limit for the inter-class flows and establish the relation to asymptotic (co-)variance rates. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1007/s11134-022-09869-1 |
| الاتاحة: | https://researchers.mq.edu.au/en/publications/0eb67e4a-bf93-4faf-8b00-93b0da8547cf https://doi.org/10.1007/s11134-022-09869-1 http://www.scopus.com/inward/record.url?scp=85142541920&partnerID=8YFLogxK http://purl.org/au-research/grants/arc/CE140100049 |
| Rights: | info:eu-repo/semantics/closedAccess |
| رقم الانضمام: | edsbas.EC1194E3 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s11134-022-09869-1 |
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