Queue length in a queuing system with dependent service times

DOI10.3103/S0278641919040083zbMath1442.90057OpenAlexW2994703704WikidataQ126531224 ScholiaQ126531224MaRDI QIDQ2191015

V. G. Ushakov, N. G. Ushakov

Publication date: 23 June 2020

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641919040083

zbMATH Keywords

exponential distributionhyperexponential distributionMarkov chainqueue lengthsingle-server systemrecurrent flow

Mathematics Subject Classification ID

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

Cites Work

• M/G/\(1\) queue with event-dependent arrival rates
• The discrete-time queue with autoregressive inputs revisited
• A single-server queue with batch arrivals and semi-Markov services
• Two-parameter process limits for infinite-server queues with dependent service times via chaining bounds
• Stationary analysis of a single queue with remaining service time-dependent arrivals
• On the exact analysis of a discrete-time queueing system with autoregressive inputs
• Fitting correlated arrival and service times and related queueing performance
• A Generalization of the Poisson Distribution
• A queueing system with Markov-dependent arrivals
• First-order autoregressive gamma sequences and point processes
• MR/GI/1 queues by positively correlated arrival stream
• The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1
• A correlated poisson distribution for correlated events

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