Little's laws for extreme values in multi-server multi-core open queueing networks

DOI10.2989/16073606.2021.1887393zbMath1489.60149OpenAlexW3184548106WikidataQ114946405 ScholiaQ114946405MaRDI QIDQ5081657

Saulius Minkevičius

Publication date: 17 June 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1887393

zbMATH Keywords

extreme valuesperformance evaluationheavy trafficfunctional strong laws of large numbersLittle's lawsmultiserver multi-core open queueing networkqueue length of jobsvirtual waiting time of a job

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic discrete flow networks: Diffusion approximations and bottlenecks
• On the law of the iterated logarithm in open queueing networks
• Open Queueing Networks in Heavy Traffic
• Heavy Traffic Limit Theorems for Queues: A Survey

This page was built for publication: Little's laws for extreme values in multi-server multi-core open queueing networks