On the finite-source \(\vec G/M/r\) queue

DOI10.1016/0377-2217(85)90068-2zbMath0555.60053OpenAlexW2040874478MaRDI QIDQ760715

János Sztrik

Publication date: 1985

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(85)90068-2

zbMATH Keywords

service timesLittle's formulaexponentially distributedqueue in equilibriumutilization

Mathematics Subject Classification ID

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

Related Items (7)

The efficiency of two groups of heterogeneous stations cared for by \(r\) operatives with a priority group ⋮ Continuous approximations of the machine repair system ⋮ A survey of the machine interference problem ⋮ On the heterogeneous machine interference problem with priority and ordinary machines ⋮ A closed form solution for the G/M/r machine interference model ⋮ Duality between the \(M/G/s/s\) and \(GI/M/1/s/s\) queues ⋮ Asymptotic analysis of the heterogeneous machine interference problem with random environments

Cites Work

• The G/M/r machine interference model
• Processor utilization study
• The \(M/E_k/r\) machine interference model. Steady state equations and numerical solutions
• The multiple phase service network with generalized processor sharing
• Priority queues
• A non-linear stochastic model for the machine interference problem
• A Finite-Source Queue with Different Customers
• Probability Models for Multiprogramming Computer Systems
• A Combinatorial Method in the Theory of Queues
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