Queues with superposition arrival processes in heavy traffic

DOI10.1016/0304-4149(85)90378-3zbMath0585.60090OpenAlexW2022600487MaRDI QIDQ1070672

Ward Whitt

Publication date: 1985

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(85)90378-3

zbMATH Keywords

limit theoremsmultiserver queueheavy traffic approximationsstationary renewal processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25) Convergence of probability measures (60B10)

Related Items (9)

Steady-state GI/G/\(n\) queue in the Halfin-Whitt regime ⋮ A robust queueing network analyzer based on indices of dispersion ⋮ On the splitting and aggregating of Hawkes processes ⋮ An Analysis of a Large-Scale Machine Repair Model ⋮ Mathematical theory of queueing networks ⋮ Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment ⋮ Using Robust Queueing to Expose the Impact of Dependence in Single-Server Queues ⋮ Diffusion Approximation for Efficiency-Driven Queues When Customers Are Patient ⋮ Approximating a class of superposition processes

Cites Work

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• Approximations for Superposition Arrival Processes in Queues
• Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues
• Some Useful Functions for Functional Limit Theorems
• Heavy-Traffic Limits for Queues with Many Exponential Servers
• Approximating a Point Process by a Renewal Process, I: Two Basic Methods
• On Poisson Approximations for Superposition Arrival Processes in Queues
• Central limit theorems in D[0, 1]
• Multiple channel queues in heavy traffic. II: sequences, networks, and batches
• Multiple channel queues in heavy traffic. I

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