The Tail Behavior of a Longest-Queue-Served-First Queueing System: A Random Walk in the Half Plane

DOI10.1080/15326349.2015.1039897zbMath1330.90024OpenAlexW1638255918MaRDI QIDQ3194563

Wenzhe Ye, Hui Li, Yiqiang Q. Zhao

Publication date: 20 October 2015

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2015.1039897

zbMATH Keywords

generating functionstationary distributionkernel methodssingularity analysisexact tail asymptoticslongest-queue-served-first modelrandom walks in the half plane

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (1)

The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems

Cites Work

• Tail asymptotics for a generalized two-demand queueing model -- a kernel method
• A two-queue, one-server model with priority for the longer queue
• Light tail asymptotics in multidimensional reflecting processes for queueing networks
• Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures
• Analysis of exact tail asymptotics for singular random walks in the quarter plane
• The symmetric longest queue system
• Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks
• The Longer Queue Model
• A Queueing Model to Analyze the Value of Centralized Inventory Information
• Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies

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