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M/M/c Queue

The M/M/c queue is a multi-server stochastic model in which customers arrive according to a Poisson process at rate λ, are served by c identical servers each with exponentially distributed service times at rate μ, and wait in a single common queue when all servers are busy. Systematized within classical queueing theory and thoroughly treated by Gross and Harris (1998), it extends the simpler M/M/1 model to settings with parallel servers, making it the foundational tool for capacity planning in service systems.

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M/M/c Multi-Server Queue

Taksonoomiline meetodikirje · regression-model / operations-research

Gross, D., & Harris, C. M. (1998). Fundamentals of Queueing Theory (3rd ed.). Wiley. · ISBN 978-0-471-17083-9

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Taxonomic bucketErlang C Modelmachine-suggested · Relational suggestion, not evidence.Taxonomic bucketLittle's Lawmachine-suggested · Relational suggestion, not evidence.Taxonomic bucketM/M/1 Queuemachine-suggested · Relational suggestion, not evidence.