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On the many server queue with exponential service times

Advances in Applied Probability, 1973
The general theory for the many server queue due to Pollaczek (1961) and generalized by the author (de Smit (1973)) is applied to the system with exponential service times. In this way many explicit results are obtained for the distributions of characteristic quantities, such as the actual waiting time, the virtual waiting time, the queue length, the ...
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Many server queueing systems

1971
Electrical Engineering, Mathematics and Computer ...
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SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers

Management Science, 2021
Jing Dong, Rouba Ibrahim
exaly  

Moderate deviations of many-server queues via idempotent processes

Advances in Applied Probability
AbstractThis paper obtains logarithmic asymptotics of moderate deviations of the stochastic process of the number of customers in a many-server queue with generally distributed inter-arrival and service times under a heavy-traffic scaling akin to the Halfin–Whitt regime.
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On Uniform Exponential Ergodicity of Markovian Multiclass Many-Server Queues in the Halfin–Whitt Regime

Mathematics of Operations Research, 2021
Aristotle Arapostathis, Guodong Pang
exaly  

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