Two-server closed networks in heavy traffic: diffusion limits and asymptotic optimality.

DOI10.1214/aoap/1019487514zbMath1073.60538OpenAlexW2029256081MaRDI QIDQ1872397

Sunil Kumar

Publication date: 6 May 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1019487514

zbMATH Keywords

functional limit theoremsfluid limitsscheduling policiesQueueing networks

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: Asymptotic optimality of a threshold policy ⋮ Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic. ⋮ On scheduling a multiclass queue with abandonments under general delay costs ⋮ Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic ⋮ An Analysis of a Large-Scale Machine Repair Model ⋮ Non-product form equilibrium probabilities in a class of two-station closed reentrant queueing networks ⋮ Heavy traffic analysis of open processing networks with complete resource pooling: asymptotic optimality of discrete review policies ⋮ A large deviations approach to asymptotically optimal control of crisscross network in heavy traffic

Cites Work

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