Large deviations of Markovian polling models with applications to admission control

DOI10.1007/s10479-006-0054-3zbMath1106.90031OpenAlexW1969468252MaRDI QIDQ863581

Masashi Kowada, Wei Feng, Fumio Ohi

Publication date: 5 February 2007

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-006-0054-3

zbMATH Keywords

large deviationsadmission controlquality of servicepolling systemsBernoulli service scheduleeffective bandwidths

Mathematics Subject Classification ID

Deterministic scheduling theory in operations research (90B35) Queues and service in operations research (90B22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effective bandwidths at multi-class queues
• Effective banwidths for the multi-type UAS channel
• A two-queue model with Bernoulli service schedule and switching times
• Exponential bounds for queues with Markovian arrivals
• Admission control of multi-class traffic with service priorities in high-speed networks
• Large deviations and the generalized processor sharing scheduling for a two-queue system
• Large deviations rate function for polling systems
• Large deviations, the shape of the loss curve, and economies of scale in large multiplexers
• Performance analysis of Markovian polling systems with single buffers
• Logarithmic asymptotics for steady-state tail probabilities in a single-server queue
• Analysis of a two-queue model with Bernoulli schedules
• Exponential bounds with applications to call admission

This page was built for publication: Large deviations of Markovian polling models with applications to admission control