OPERATOR ANALYSIS OF KOLMOGOROV–CHAPMAN TYPE EQUATIONS WITH DIFFERENTIAL OPERATOR

DOI10.25587/SVFU.2022.19.74.004OpenAlexW4224275548WikidataQ115227541 ScholiaQ115227541MaRDI QIDQ6118439

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Publication date: 21 March 2024

Published in: Журнал «Математические заметки СВФУ» (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.25587/svfu.2022.19.74.004

zbMATH Keywords

queuing systemmethod of generating functionsoperator analysisdiffusion intensity of input flowstationary mode of number applications

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Cites Work

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• \(M/M/1\) queueing systems with inventory
• A survey of Markov decision models for control of networks of queues
• Boundary value problems in stationary queueing systems with diffusion intensity of the input flow
• Open problems in queueing theory inspired by datacenter computing
• The M/M/1 Queue in a Markovian Environment
• Unfinished work in queueing system with the input stream diffusion intensity with zero ratio of drift

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