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On the many server queue with exponential service times
Advances in Applied Probability, 1973The 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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Modelling heterogeneity in many-server queueing systems
Queueing Systems, 2022openaire +1 more source
SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers
Management Science, 2021Jing Dong, Rouba Ibrahim
exaly
Moderate deviations of many-server queues via idempotent processes
Advances in Applied ProbabilityAbstractThis 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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A Network of Time-Varying Many-Server Fluid Queues with Customer Abandonment
Operations Research, 2011Yunan Liu, Ward Whitt
exaly

