Gated polling systems with Lévy inflow and inter-dependent switchover times: A dynamical-systems approach

DOI10.1007/s11134-004-5555-7zbMath1141.90356OpenAlexW1974417464MaRDI QIDQ1766089

Iddo I. Eliazar

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1007/s11134-004-5555-7

zbMATH Keywords

polling systemsPoincaré mapLévy subordinatorsgated service regime

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of dynamical systems (37N99)

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Cites Work

• Decomposition results for general polling systems and their applications
• Exact analysis of the state-dependent polling model
• Relating polling models with zero and nonzero switchover times
• Polling systems and multitype branching processes
• Polling Models With and Without Switchover Times
• Two Queues Attended by a Single Server
• Queues Served in Cyclic Order
• Queues Served in Cyclic Order: Waiting Times
• Two Queues with Changeover Times
• Queues with Periodic Service and Changeover Time
• A Decomposition Theorem for Polling Models: The Switchover Times are Effectively Additive
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