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Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue

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References

1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
1982Poisson Arrivals See Time Averages1,220 cited
1983The Queueing Network Analyzer1,034 cited
1976Stochastic Processes in Queueing Theory674 cited
1982Approximating a Point Process by a Renewal Process, I: Two Basic Methods544 cited
1984Open Queueing Networks in Heavy Traffic449 cited
1982Introduction to Queueing Theory.359 cited
1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
1982Applications of Queueing Theory298 cited
1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
1983Queues and Point Processes258 cited
1978Probability, Statistics, and Queueing Theory238 cited
1980Stochastic Storage Processes198 cited
1968Some Inequalities in Queuing191 cited
1975Fluctuation theory in continuous time179 cited
1984Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues

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164 cited

Cited by

1999Partitioning Customers into Service Groups63 cited
1992The MacLaurin series for the GI/G/1 queue63 cited
1995Variability Functions for Parametric-Decomposition Approximations of Queueing Networks62 cited
1989An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue58 cited
2014Choosing arrival process models for service systems: Tests of a nonhomogeneous Poisson process50 cited
1996Simulation run lengths to estimate blocking probabilities50 cited
1994Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/ 1 queue43 cited
2016STAFFING A SERVICE SYSTEM WITH NON-POISSON NON-STATIONARY ARRIVALS39 cited
1992The Brownian approximation for rate-control throttles and the G/G/1/C queue38 cited
2014STABILIZING PERFORMANCE IN NETWORKS OF QUEUES WITH TIME-VARYING ARRIVAL RATES37 cited
1991Investigating dependence in packet queues with the index of dispersion for work36 cited
2017Using Robust Queueing to Expose the Impact of Dependence in Single-Server Queues31 cited
1996Stationary-Process Approximations for the Nonstationary Erlang Loss Model27 cited
1996Light-Traffic Analysis for Queues with Spatially Distributed Arrivals27 cited
1991Approximate performance modeling and decision making for manufacturing systems: A queueing network optimization framework25 cited
2005A multi-class fluid model for a contact center with skill-based routing25 cited