Geometric decay in level-expanding QBD models

DOI10.1007/S10479-007-0298-6zbMath1152.60073OpenAlexW2083462405MaRDI QIDQ928204

Masakiyo Miyazawa, Yiqiang Q. Zhao, Li-Ming Liu

Publication date: 11 June 2008

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-007-0298-6

zbMATH Keywords

tail asymptoticstwo-dimensional systeminventory queuejoin shortest queuelevel-expanding QBD

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (2)

The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems ⋮ Light-Tailed Behavior in QBD Processes with Countably Many Phases

Cites Work

• Non-negative matrices and Markov chains. 2nd ed
• Decay rate for a PH/M/2 queue with shortest queue discipline
• Analysis and Optimization of a Multistage Inventory-Queue System
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• The stationary tail asymptotics in the GI/G/1-type queue with countably many background states
• Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model

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