HEAVY-TRAFFIC ANALYSIS OF K-LIMITED POLLING SYSTEMS

DOI10.1017/S0269964814000096zbMath1371.60168arXiv1408.0149OpenAlexW2113384771MaRDI QIDQ5349303

Marko A. A. Boon, Erik M. M. Winands

Publication date: 24 August 2017

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0149

zbMATH Keywords

heavy traffictwo-queue polling system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (6)

Polling: past, present, and perspective ⋮ Heavy-traffic asymptotics of a priority polling system with threshold service policy ⋮ On two-queue Markovian polling systems with exhaustive service ⋮ On a 2-class polling model with reneging and \(k_i\)-limited service ⋮ Induced idleness leads to deterministic heavy traffic limits for queue-based random-access algorithms ⋮ On the three-queue priority polling system with threshold service policy

Cites Work

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• Interacting queues in heavy traffic
• Monotonicity and stability of periodic polling models
• Polling systems with zero switchover times: A heavy-traffic averaging principle
• Polling systems and multitype branching processes
• Towards a unifying theory on branching-type polling systems in heavy traffic
• On the application of Rouché's theorem in queueing theory
• The distributional form of Little's law and the Fuhrmann-Cooper decomposition
• Polling Systems in Heavy Traffic: A Bessel Process Limit
• Customer delay in very large multi-queue single-server systems
• Analysis of polling systems with mixed service disciplines
• A STATE-DEPENDENT POLLING MODEL WITH k-LIMITED SERVICE
• Pseudo-conservation laws in cyclic-service systems
• M/G/1/N Queue with vacation time and limited service discipline
• Two Queues with Alternating Service
• On the stability of polling models with multiple servers
• Multiclass Queueing Systems in Heavy Traffic: An Asymptotic Approach Based on Distributional and Conservation Laws
• A two-queue model with exhaustive and limited service disciplines
• DELAYS AT SIGNALIZED INTERSECTIONS WITH EXHAUSTIVE TRAFFIC CONTROL

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