Analysis of polling systems
The Fourier-series method for inverting transforms of probability distributions
Queueing Systems: Theory and Applications - Numerical computations in queues
The BMAP/G/1 QUEUE: A Tutorial
Performance Evaluation of Computer and Communication Systems, Joint Tutorial Papers of Performance '93 and Sigmetrics '93
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We describe a tool that we are developing to help analyze the performance of emerging telecommunication systems. These emerging systems include ATM, broadband, intelligent and wireless networks, each of which will support a wide variety of services and media. The tool is distinguished from previous tools by exploiting numerical transform inversion. We describe three modules in the tool. These modules provide algorithms for obtaining the exact analytic solutions to: resource-sharing models, BMAP/G/1 queueing models and polling models. Since the tool is based on analytical methods instead of simulation, it is relatively fast. The tool has a window based menu driven interface and provides both graphical and numerical output.