A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process
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Publication:499350
DOI10.1007/s11134-015-9454-xzbMath1334.60200arXiv1501.03913OpenAlexW942082818MaRDI QIDQ499350
Publication date: 30 September 2015
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.03913
large deviationsstationary distributionqueueing networksgeneralized Jackson networkMarkov-modulated random walkQBD structured matrixsubinvariant vector
Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10) Processes in random environments (60K37) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)
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