Approximations for the delay probability in the \(M/G/s\) queue

DOI10.1016/0895-7177(95)00192-5zbMath0844.60072OpenAlexW1972769748MaRDI QIDQ1905868

Yanyan Li

Publication date: 27 August 1996

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(95)00192-5

zbMATH Keywords

approximationsqueuedelay probabilityErlang delay formula

Mathematics Subject Classification ID

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

Cites Work

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• Approximation of the queue-length distribution of an M/GI/s queue by the basic equations
• An Interpolation Approximation for Queueing Systems with Poisson Input
• Approximations of the Mean Waiting Time in an M/G/s Queueing System
• Approximations for the steady-state probabilities in theM/G/cqueue
• Approximating the Mean Waiting Time in the GI/G/s Queue
• APPROXIMATIONS FOR THE WAITING TIME IN THE GI/G/s QUEUE
• INTERPOLATION APPROXIMATIONS FOR THE MEAN WAITING TIME IN A MULTI-SERVER QUEUE
• Approximations for the M/G/m Queue
• A Light-Traffic Theorem for Multi-Server Queues
• Heavy traffic theory for queues with several servers. I

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