Martingale methods for the semi-markov analysis of queues with blocking

DOI10.1080/17442508108833177zbMath0457.60072OpenAlexW302219280MaRDI QIDQ3906877

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Publication date: 1981

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508108833177

zbMATH Keywords

semi-Markov processoptional sampling theoremqueues with blocking

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Martingales with continuous parameter (60G44) Markov renewal processes, semi-Markov processes (60K15)

Cites Work

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• Some martingales related to cumulative sum tests and single-server queues
• On the longest service time in a busy period of the M/G/1 queue
• The Representation of Martingales of Jump Processes
• Queueing Models for Computer Communications System Analysis
• On the time to first overflow in dams with inputs forming a Markov chain
• Two queues in series with a finite, intermediate waitingroom
• The Remaining Busy Period of a Finite Queue

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