Stability and continuity of polling systems

DOI10.1007/BF01158952zbMath0794.60093MaRDI QIDQ1324101

Vinod Sharma

Publication date: 18 May 1994

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

functional limit theoremsrates of convergencestochastic continuitystability of a polling system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Functional limit theorems; invariance principles (60F17)

Related Items (3)

On polling systems with infinitely many stations ⋮ Polling on a space with general arrival and service time distribution ⋮ Mathematical methods to study the polling systems

Cites Work

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• Dominance relations in polling systems
• The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence
• Stability of token passing rings
• Stability, monotonicity and invariant quantities in general polling systems
• Markov chain models - rarity and exponentiality
• Regenerative queueing processes and their qualitative and quantitative analysis
• Polling in a Loop System
• Waiting Lines and Times in a System with Polling
• Multiqueue Systems with Nonexhaustive Cyclic Service

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