The relations among the queue size distributions at departure, arbitrary and pre-arrival epochs in the \(MAP/G/1\) queue with finite/infinite buffer---an alternative approach.

DOI10.1007/BF03398655zbMath1278.90091OpenAlexW2772818511MaRDI QIDQ2467839

P. Vijaya Laxmi, U. C. Gupta

Publication date: 29 January 2008

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03398655

Mathematics Subject Classification ID

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

Related Items (2)

Analysis of finite buffer queue with state dependent service and correlated customer arrivals ⋮ The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations

Cites Work

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• On the analysis of single server finite queue with state dependent arrival and service processes: \(M(n)/G(n)/1/K\)
• New results on the single server queue with a batch markovian arrival process
• A single-server queue with server vacations and a class of non-renewal arrival processes
• Supplementary variable method applied to the MAP/G/1 queueing system
• Finite capacity vacation models with non-renewal input

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