On the ergodicity of a class of level-dependent quasi-birth-and-death processes
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Publication:5203977
DOI10.1017/apr.2019.43zbMath1427.60151OpenAlexW2986641898MaRDI QIDQ5203977
James D. Cordeiro, Mark E. Oxley, Jeffrey P. Kharoufeh
Publication date: 9 December 2019
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/apr.2019.43
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodic theorems, spectral theory, Markov operators (37A30)
Uses Software
Cites Work
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- Approximation of multiserver retrial queues by means of generalized truncated models
- Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
- Admission and GoS control in a multiservice WCDMA system
- Multi-server retrial queue with negative customers and disasters
- Algorithmic analysis of the MAP/PH/1 retrial queue
- Random walks in a quarter plane with zero drifts. I: Ergodicity and null recurrence
- Sufficient conditions for ergodicity and recurrence of Markov chains on a general state space
- The M/M/1 queue with randomly varying arrival and service rates
- Further results on the M/M/1 queue with randomly varying rates
- Multi-dimensional quasi-Toeplitz Markov chains
- A retrial BMAP/SM/1 system with linear repeated requests
- A retrial BMAP/PH/N system
- \(\text{BMAP}|\text{SM}|1\) model with Markov modulated retrials
- An LDQBD process under degradation, inspection, and two types of repair
- Discrete-time analysis of the \(GI/G/1\) system with Bernoulli retrials: an algorithmic approach
- Numerical analysis of \((s, S)\) inventory systems with repeated attempts
- On bulk-service MAP/PH\(^{L,N}\)/1/N G-queues with repeated attempts
- A \(BMAP/G/1\) retrial queue with a server subject to breakdowns and repairs
- Multiserver queue with addressed retrials
- The \(BMAP/PH/N\) retrial queueing system operating in Markovian random environment
- Technical Note—Mean Drifts and the Non-Ergodicity of Markov Chains
- Infinite level-dependent QBD processes and matrix-analytic solutions for stochastic chemical kinetics
- Tests for the Nonergodicity of Multidimensional Markov Chains
- A versatile Markovian point process
- A positive recurrence criterion associated with multidimensional queueing processes
- A sufficient condition of nonergodicity of a Markov chain (Corresp.)
- A note on the ergodicity of Markov chains
- The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
- The M/M/1 Queue in a Markovian Environment
- Criteria for classifying general Markov chains
- Necessary and sufficient conditions for recurrence and transience of Markov chains, in terms of inequalities
- Introduction to Matrix Analytic Methods in Stochastic Modeling
- ETAQA: an efficient technique for the analysis of QBD-processes by aggregation
- Topics in the Constructive Theory of Countable Markov Chains
- Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
- Networks and dynamical systems
- Stochastic Variations in Queuing Processes
- Some Conditions for Ergodicity and Recurrence of Markov Chains
- A queue subject to extraneous phase changes
- Queuing Problems with Heterogeneous Arrivals and Service
- On the Ergodic Theory of Markov Chains
- Drift Conditions for Matrix-Analytic Models
- On the Stochastic Matrices Associated with Certain Queuing Processes
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