Ergodicity of a polling network

DOI10.1016/0304-4149(94)90122-8zbMath0802.60084OpenAlexW2090268469MaRDI QIDQ1327549

Aleksandr A. Borovkov, R. Schassberger

Publication date: 12 December 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90122-8

zbMATH Keywords

stabilityqueue lengthPoisson arrivalssingle serverrandom switchinghomogeneous Poisson processpolling serverMarkovian routing scheme

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (11)

Polling systems in the critical regime. ⋮ Single-server queues with spatially distributed arrivals ⋮ On polling systems with infinitely many stations ⋮ Polling on a space with general arrival and service time distribution ⋮ Stability of non-Markovian polling systems ⋮ Stability of polling systems with exhaustive service policies and state-dependent routing ⋮ On ergodicity conditions in a polling model with Markov modulated input and state-dependent routing ⋮ Mathematical methods to study the polling systems ⋮ Stability of a cyclic polling system with an adaptive mechanism ⋮ Stability of Polling Networks with State-Dependent Server Routing ⋮ Stability of periodic polling system with BMAP arrivals

Cites Work

• Stability of token passing rings
• Stability, monotonicity and invariant quantities in general polling systems
• A continuous polling system with general service times
• Monotonicity and stability of periodic polling models
• Queuing analysis of polling models
• Queueing systems on a circle
• Ergodicity of a Jackson network by batch arrivals

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