On level-dependent QBD processes with explosive state space

DOI10.1007/s11134-022-09796-1zbMath1491.90068OpenAlexW4225517561MaRDI QIDQ2146412

Tetsuya Takine

Publication date: 16 June 2022

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

Full work available at URL: https://doi.org/10.1007/s11134-022-09796-1

Mathematics Subject Classification ID

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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• Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent \(\mathrm{M}/\mathrm{G}/1\)-type and its application to \(\mathrm{BMAP}/\mathrm{M}/\infty\) and \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\) queues
• State-dependent M/M/\(c/c + r\) retrial queues with Bernoulli abandonment
• Service Performance Analysis and Improvement for a Ticket Queue with Balking Customers
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Computing the conditional stationary distribution in Markov chains of level-dependent M/G/1-type
• Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
• Characterization of the conditional stationary distribution in Markov chains via systems of linear inequalities
• Nonequilibrium steady states of matrix-product form: a solver's guide

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