Fluid model solution of feedforward network of overloaded multiclass processor sharing queues

DOI10.14317/jami.2024.291MaRDI QIDQ6569198

Mohamed Hanini, Amal Ezzidani, Abdelghani Ben Tahar

Publication date: 8 July 2024

Published in: Journal of Applied Mathematics \& Informatics (Search for Journal in Brave)

zbMATH Keywords

fluid modeloverloaded queuesmulticlass processor sharing

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Cites Work

• The fluid limit of the multiclass processor sharing queue
• Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
• On the transient behavior of the processor sharing queue
• Fluid approximations for a processor-sharing queue
• The fluid limit of a heavily loaded processor sharing queue
• Diffusion approximation for a processor sharing queue in heavy traffic.
• Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy
• Heavy traffic limit for a processor sharing queue with soft deadlines
• Asymptotic behavior of a critical fluid model for a processor sharing queue via relative entropy
• Heavy-Traffic Analysis of a Multiple-Phase Network with Discriminatory Processor Sharing
• Law of Large Number Limits of Limited Processor-Sharing Queues
• FLUID LIMIT OF A PS-QUEUE WITH MULTISTAGE SERVICE
• Fluid Limits for Multiclass Many-Server Queues with General Reneging Distributions and Head-of-the-Line Scheduling
• The Fluid Limit of an Overloaded Processor Sharing Queue
• Applications of fluid models in service operations management

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