A Markov-modulated \(M/M/1\) queue with group arrivals

DOI10.1007/BF02412254zbMath0736.60095OpenAlexW2011239576MaRDI QIDQ1175220

Yixin Zhu

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02412254

zbMATH Keywords

time reversibilityqueue with group arrivalsrepresentation of the queue length and departure process in terms of Laplace transforms

Mathematics Subject Classification ID

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

Related Items (4)

Markovian queueing networks in a random environment ⋮ The MacLaurin expansion for a \(G/G/1\) queue with Markov-modulated arrivals and services ⋮ Generalized product-form stationary distributions for Markov chains in random environments with queueing applications ⋮ Queuing system with infinite buffer and stepwise inflow intensity

Cites Work

• Unnamed Item
• Markov-modulated queueing systems
• The Queue M|G|1 with Markov Modulated Arrivals and Services
• The M/M/1 Queue in a Markovian Environment
• A Queuing-Type Birth-and-Death Process Defined on a Continuous-Time Markov Chain

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