A STATE-DEPENDENT POLLING MODEL WITH k-LIMITED SERVICE

DOI10.1017/S0269964809000217zbMath1178.60067OpenAlexW2077606261MaRDI QIDQ3645163

Douglas G. Down, Erik M. M. Winands, Ivo J. B. F. Adan, Geert-Jan van Houtum

Publication date: 16 November 2009

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

Full work available at URL: https://doi.org/10.1017/s0269964809000217

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items

Polling: past, present, and perspective ⋮ A two-queue polling model with priority on one queue and heavy-tailed on/off sources: a heavy-traffic limit ⋮ On open problems in polling systems ⋮ HEAVY-TRAFFIC ANALYSIS OF K-LIMITED POLLING SYSTEMS ⋮ Queue lengths and workloads in polling systems ⋮ The stochastic economic lot scheduling problem: a survey ⋮ Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process ⋮ On ergodicity conditions in a polling model with Markov modulated input and state-dependent routing ⋮ On a 2-class polling model with reneging and \(k_i\)-limited service ⋮ On the stability of a polling system with an adaptive service mechanism ⋮ Stability of a cyclic polling system with an adaptive mechanism

Uses Software

• QROOT

Cites Work

• Iterative approximation of \(k\)-limited polling systems
• A two-queue, one-server model with priority for the longer queue
• Numerical inversion of probability generating functions
• Dynamic server assignment in a two-queue model
• Exact analysis of the state-dependent polling model
• On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
• Polling systems and multitype branching processes
• On the application of Rouché's theorem in queueing theory
• Polling systems with state-dependent setup times
• The distributional form of Little's law and the Fuhrmann-Cooper decomposition
• Determining Production Schedules Under Base-Stock Policies in Single Facility Multi-Item Production Systems
• Stability conditions for multisequence systems with cyclic service
• On the stability of polling models with multiple servers
• Gated–type polling systems with walking and switch-in times
• The Stochastic Economic Lot Scheduling Problem: Cyclical Base-Stock Policies with Idle Times
• Stability and convergence of moments for multiclass queueing networks via fluid limit models
• A two-queue model with exhaustive and limited service disciplines
• Two Queues Attended by a Single Server

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