Mean-field fluctuations at diffusion scale in threshold-based randomized routing for processor sharing systems and applications

DOI10.1080/15326349.2023.2250418MaRDI QIDQ6497096

Ravi R. Mazumdar, Samira Ghanbarian

Publication date: 6 May 2024

Published in: Stochastic Models (Search for Journal in Brave)

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ordinary differential equations in Banach spaces
• On the stability of a partially accessible multi-station queue with state-dependent routing
• Queueing system with selection of the shortest of two queues: An asymptotic approach
• Fast Jackson networks
• Functional central limit theorems for a large network in which customers join the shortest of several queues
• Non-negative matrices and Markov chains.
• Randomized Assignment of Jobs to Servers in Heterogeneous Clusters of Shared Servers for Low Delay
• A new approach to the M/G/1 processor-sharing queue
• A simple dynamic routing problem
• Optimality of the shortest line discipline
• Sensitivity of mean-field fluctuations in Erlang loss models with randomized routing
• Analysis of Randomized Join-the-Shortest-Queue (JSQ) Schemes in Large Heterogeneous Processor-Sharing Systems

This page was built for publication: Mean-field fluctuations at diffusion scale in threshold-based randomized routing for processor sharing systems and applications