Analysis of the BMAP/SM/1/N Type System with Randomized Choice of Customers Admission Discipline

DOI10.1007/978-3-319-44615-8_4zbMath1405.90046OpenAlexW2513466016MaRDI QIDQ4690229

Alexej Shaban, Alexander N. Dudin

Publication date: 22 October 2018

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-44615-8_4

zbMATH Keywords

batch Markovian arrival processsingle server queue

Mathematics Subject Classification ID

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

Related Items (2)

Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ On the distribution of the number of consecutively lost customers in the \textit{BMAP}/\textit{PH}/1/\textit{N} system

Cites Work

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• Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
• A retrial BMAP/SM/1 system with linear repeated requests
• Lack of invariant property of the Erlang loss model in case of MAP input
• A single-server queueing system with batch Markov arrivals, semi-Markov service, and finite buffer: its characteristics
• Optimal hysteretic control for a \(\text{BMAP/SM/1/}N\) queue with two operation modes
• New results on the single server queue with a batch markovian arrival process
• The n/g/l finite capacity queue
• Some steady-state distributions for theMAP /SM /1 queue
• Analysis of the loss probability of the map/g/1/k queue part i: asymptotic theory

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