Heavy Traffic Limits for Queues with Many Deterministic Servers
Queueing Systems: Theory and Applications
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ACM SIGMETRICS Performance Evaluation Review - Special issue on the workshop on MAthematical performance Modeling And Analysis (MAMA 2005)
Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers
Queueing Systems: Theory and Applications
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Performance Evaluation - Performance 2005
Modeling and simulation of call centers
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Diffusion Approximation Model of Multiserver Stations with Losses
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On the inapproximability of M/G/K: why two moments of job size distribution are not enough
Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
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On Markov---Krein characterization of the mean waiting time in M/G/K and other queueing systems
Queueing Systems: Theory and Applications
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Manufacturing & Service Operations Management
Estimating the loss probability under heavy traffic conditions
Computers & Mathematics with Applications
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Decision Support Systems
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Performance Evaluation
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We develop a diffusion approximation for the queue-length stochastic process in theG/GI/n/m queueing model (having a general arrival process, independent and identically distributed service times with a general distribution,n servers, andm extra waiting spaces). We use the steady-state distribution of that diffusion process to obtain approximations for steady-state performance measures of the queueing model, focusing especially upon the steady-state delay probability. The approximations are based on heavy-traffic limits in whichn tends to infinity as the traffic intensity increases. Thus, the approximations are intended for largen.For theGI/M/n/8 special case, Halfin and Whitt (1981) showed that scaled versions of the queue-length process converge to a diffusion process when the traffic intensity? napproaches 1 with (1 -? n )v n ? 脧聛 for 0