Brownian models of closed queueing networks with homogeneous customer populations

DOI10.1080/17442509008833607zbMath0699.60084OpenAlexW4239262509MaRDI QIDQ3477780

Hong Chen, J. Michael Harrison, Ruth J. Williams

Publication date: 1990

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442509008833607

zbMATH Keywords

heavy trafficstationary distributionclosed queueing networkexponential density functionJackson closed network

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items

Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic ⋮ A Fair Policy for the G/GI/N Queue with Multiple Server Pools ⋮ A multiclass closed queueing network with unconventional heavy traffic behavior ⋮ Regenerative closed queueing networks ⋮ Estimating variance of output from cyclic exponential queueing systems

Cites Work

• Reflected Brownian motion with skew symmetric data in a polyhedral domain
• Reflected Brownian motion on an orthant
• Stochastic discrete flow networks: Diffusion approximations and bottlenecks
• Multidimensional reflected Brownian motions having exponential stationary distributions
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• Open Queueing Networks in Heavy Traffic
• Open and Closed Models for Networks of Queues
• Brownian models of open queueing networks with homogeneous customer populations^∗
• Semimartingales and Markov processes
• Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
• [https://portal.mardi4nfdi.de/wiki/Publication:5564837 Mesure invariante sur les classes r�currentes des processus de Markov]
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