On Approximate Computer System Models
Journal of the ACM (JACM)
Algorithm 368: Numerical inversion of Laplace transforms [D5]
Communications of the ACM
Commissioned Paper: Telephone Call Centers: Tutorial, Review, and Research Prospects
Manufacturing & Service Operations Management
A Diffusion Approximation for the G/GI/n/m Queue
Operations Research
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
A diffusion approximation model of an electronic-optical node
EPEW'05/WS-FM'05 Proceedings of the 2005 international conference on European Performance Engineering, and Web Services and Formal Methods, international conference on Formal Techniques for Computer Systems and Business Processes
A diffusion approximation model for wireless networks based on IEEE 802.11 standard
Computer Communications
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The article presents a diffusion approximation model of a G/G/N/N station -N parallel servers without queueing. Diffusion approximation allows us to include in queueing models fairly general assumptions. First of all it gives us a tool to consider in a natural way transient states of queues, which is very rare in classical queueing models. Then we may consider input streams with general interarrival time distributions and servers with general service time distributions. Single server models may be easily incorporated into a network of queues. Here, we apply the diffusion approximation formalism to study transient behaviour of G/G/N/N station and use it to construct a model of a typical call centre and to study the sliding window mechanism, a popular Call Admission Control (CAC) algorithm.