Polling systems with periodic server routing in heavy traffic: renewal arrivals

DOI10.1016/j.orl.2004.05.003zbMath1076.90011OpenAlexW1997638124WikidataQ57814303 ScholiaQ57814303MaRDI QIDQ1886793

Tava Lennon Olsen, Robert D. van der Mei

Publication date: 19 November 2004

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2004.05.003

zbMATH Keywords

DelaySetup timesDistributional approximationsHeavy-trafficPolling tableSwitch-over times

Mathematics Subject Classification ID

Traffic problems in operations research (90B20)

Related Items (13)

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 ⋮ Waiting times in queueing networks with a single shared server ⋮ Polling systems with batch service ⋮ POLLING SYSTEMS WITH TWO-PHASE GATED SERVICE ⋮ Mathematical methods to study the polling systems ⋮ Towards a unifying theory on branching-type polling systems in heavy traffic ⋮ A New Method for Deriving Waiting-Time Approximations in Polling Systems with Renewal Arrivals ⋮ DELAYS AT SIGNALIZED INTERSECTIONS WITH EXHAUSTIVE TRAFFIC CONTROL ⋮ Polling models with multi-phase gated service ⋮ The impact of scheduling policies on the waiting-time distributions in polling systems ⋮ A note on polling models with renewal arrivals and nonzero switch-over times ⋮ Heavy traffic analysis of roving server networks

Cites Work

• Monotonicity and stability of periodic polling models
• Polling systems in heavy traffic: Exhaustiveness of service policies
• Brownian models of multiclass queueing networks: Current status and open problems
• Polling systems with zero switchover times: A heavy-traffic averaging principle
• Polling systems and multitype branching processes
• Polling Systems in Heavy Traffic: A Bessel Process Limit
• Dynamic Scheduling of a Two-Class Queue with Setups
• Heavy Traffic Analysis of Polling Systems in Tandem
• A Practical Scheduling Method for Multiclass Production Systems with Setups
• Heavy Traffic Analysis of Dynamic Cyclic Policies: A Unified Treatment of the Single Machine Scheduling Problem
• A SURVEY OF THE EVOLUTION OF QUEUEING THEORY
• Polling systems with periodic server routeing in heavy traffic: distribution of the delay
• Heavy Traffic Analysis of the Dynamic Stochastic Inventory-Routing Problem
• Approximations for the waiting time distribution in polling models with and without state-dependent setups

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