Computation of the stationary distribution of the queue size in an M/G/1 queueing system with variable service rate

DOI10.2307/3213040zbMath0428.60093OpenAlexW2316331840MaRDI QIDQ3865257

Awi Federgruen, Henk C. Tijms

Publication date: 1980

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213040

zbMATH Keywords

computational methodstationary distributionqueue sizeM/G/1 queueing systemvariable service rateswitch-over service rule

Mathematics Subject Classification ID

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

Related Items (11)

On \(M/M/1\) queues with a smart machine ⋮ First excess level analysis of random processes in a class of stochastic servicing systems with global control ⋮ Optimal control for an \(M^X/G/1\) queue with two services modes ⋮ Consecutive customer losses in regular and oscillating \(M^{X}/ G /1/ n\) systems ⋮ Consecutive customer losses in oscillating \(GI^X/M//n\) systems with state dependent services rates ⋮ On the design of a finite-capacity queue with phase-type service times and hysteretic control ⋮ ALGORITHMIC METHODS FOR SINGLE SERVER SYSTEMS WITH REPEATED ATTEMPTS ⋮ Moments of losses during busy-periods of regular and nonpreemptive oscillating \(M^X/G/1/n\) systems ⋮ An M/G/l Vacation Model with Two Service Modes ⋮ Optimal control and performance analysis of anM^X/M/1queue with batches of negative customers ⋮ Control of the service process in a queueing system

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