SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES
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Publication:4678852
DOI10.1081/STM-200046489zbMath1065.60133OpenAlexW2006367632MaRDI QIDQ4678852
Yiqiang Q. Zhao, Lani Haque, Li-Ming Liu
Publication date: 23 May 2005
Published in: Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/stm-200046489
priority queuetail asymptoticsradius of convergencetwo-dimensional system\(\alpha\)-positivityinventory queuegeometric tail\(\beta\)-invariant measureshortest queue modeltwo-demand model
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Cites Work
- Unnamed Item
- Unnamed Item
- Markov chains and stochastic stability
- Censoring, factorizations, and spectral analysis for transition matrices with block-repeating entries
- Non-negative matrices and Markov chains.
- GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES
- Two Parallel Queues Created by Arrivals with Two Demands I
- Computation of Steady-State Probabilities for M/M/1 Priority Queues
- β-Invariant Measures for Transition Matrices of GI/M/1 Type
- Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases
- Quasi-Stationary Distributions of Single-Server Phase-Type Queues
- Representation Theory for Denumerable Markov Chains
- Queueing models with multiple waiting lines
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