Stationary distribution convergence of the offered waiting processes in heavy traffic under general patience time scaling

DOI10.1007/s11134-021-09716-9zbMath1490.60254arXiv2102.04937OpenAlexW3196026976MaRDI QIDQ2070679

Chihoon Lee, Amy R. Ward, Heng Qing Ye

Publication date: 24 January 2022

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04937

zbMATH Keywords

heavy trafficcustomer abandonmentstationary distribution convergence

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

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• Asymptotically tight steady-state queue length bounds implied by drift conditions
• Convergence of a queueing system in heavy traffic with general patience-time distributions
• State space collapse with application to heavy traffic limits for multiclass queueing networks
• Justifying diffusion approximations for multiclass queueing networks under a moment condition
• Stationary distribution convergence of the offered waiting processes for \(GI/GI/1+GI\) queues in heavy traffic
• Validity of heavy traffic steady-state approximations in generalized Jackson networks
• A diffusion approximation for a GI/GI/1 queue with balking or reneging
• Stochastic-Process Limits
• Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits
• Asymptotic Optimality of Balanced Routing
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• Approximating the GI/GI/1+GI Queue with a Nonlinear Drift Diffusion: Hazard Rate Scaling in Heavy Traffic
• Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic
• A Unified Approach to Diffusion Analysis of Queues with General Patience-Time Distributions
• Single-server queues with impatient customers
• A criterion for invariant measures of markov processes
• Applied Probability and Queues
• Beyond Heavy-Traffic Regimes: Universal Bounds and Controls for the Single-Server Queue
• Transform Methods for Heavy-Traffic Analysis
• Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach
• Stability of queueing networks

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