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Optimal hysteretic control for a \(\text{BMAP/SM/1/}N\) queue with two operation modes

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Publication:1975978
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DOI10.1155/S1024123X99001167zbMath0959.60084OpenAlexW1971770359MaRDI QIDQ1975978

Shoichi Nishimura, Alexander N. Dudin

Publication date: 22 April 2001

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48704


zbMATH Keywords

batch Markovian arrival processsemi-Markovian serviceoptimal hysteresis control


Mathematics Subject Classification ID

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


Related Items (6)

Fluctuation analysis in parallel queues with hysteretic control ⋮ 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 ⋮ Hysteretic Capacity Switching for M/G/1 Queues ⋮ Analysis of the BMAP/SM/1/N Type System with Randomized Choice of Customers Admission Discipline ⋮ The \(MAP + MAP/PH/1/N\) queuing system with single and batch arrivals of customers




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