Reducing of service process dimension for a general-type multichannel network in heavy traffic

DOI10.1007/978-3-030-72247-0_8zbMath1470.60249OpenAlexW3147512308MaRDI QIDQ1980507

Hanna Livinska, Eugene A. Lebedev

Publication date: 8 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-72247-0_8

zbMATH Keywords

Gaussian approximationasymptotic mergingheavy traffic regimemultichannel queueing network

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

• On transient and stationary regimes for multi-channel networks with periodic inputs
• Profit maximization and risk minimization in semi-Markovian networks
• Large deviations for random evolutions with independent increments in the scheme of Lévy approximation with split and double merging
• Multi-channel queueing networks with interdependent input flows in heavy traffic
• On the asymptotic merging of the set of nodes in stochastic networks
• Switching Processes in Queueing Models
• Tandem of Infinite-Server Queues with Markovian Arrival Process
• Gaussian Approximation of Multi-channel Networks in Heavy Traffic
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