Ergodicity conditions and invariant probability measure for an embedded Markov chain in a controlled bulk queueing system with a bilevel service delay discipline. II

DOI10.1016/0893-9659(92)90054-DzbMath0757.60089MaRDI QIDQ1195700

Jewgeni H. Dshalalow, L. M. Abol'nikov

Publication date: 5 January 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

ergodicitystationary distributionsemi-Markov processbulk queueing systems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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Semi-regenerative analysis of controlled bulk queueing systems with a bilevel service delay discipline and some ergodic theorems, A matrix analytic solution to a hysteretic queueing system with random server capacity

Cites Work

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• On modulated random measures
• Markov chains with transition delta-matrix: Ergodicity conditions, invariant probability measures and applications
• Ergodicity conditions and invariant probability measure for an embedded Markov chain in a controlled bulk queueing system with a bilevel service delay discipline. I