Asymptotics for the sojourn time distribution in the queue defined by a general QBD process with a countable phase space

DOI10.1007/s11134-013-9359-5zbMath1307.60133OpenAlexW2073342288MaRDI QIDQ475078

Toshihisa Ozawa

Publication date: 25 November 2014

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

Full work available at URL: https://doi.org/10.1007/s11134-013-9359-5

zbMATH Keywords

queueing modelasymptotic propertyQBD processsojourn time distribution

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

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• Geometric tail of queue length of low-priority customers in a nonpreemptive priority MAP/PH/1 queue
• Asymptotics for M/G/1 low-priority waiting-time tail probabilities
• Light tail asymptotics in multidimensional reflecting processes for queueing networks
• Polling systems and multitype branching processes
• Non-negative matrices and Markov chains.
• Sojourn time distributions in the queue defined by a general QBD process
• GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES
• Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks
• Constructive Computation in Stochastic Models with Applications
• Computation of Steady-State Probabilities for M/M/1 Priority Queues
• Operator-geometric stationary distributions for markov chains, with application to queueing models
• The stationary tail asymptotics in the GI/G/1-type queue with countably many background states
• SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES
• β-Invariant Measures for Transition Matrices of GI/M/1 Type
• Quasi-Stationary Distributions of Single-Server Phase-Type Queues
• Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model

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