Abstract
In this tutorial paper, we present a set of fundamental techniques of analysis for discrete-time queueing models with either independent or correlated arrival streams, deterministic service-time distribution and one or more equivalent servers. The main characteristic of our approach is that it is almost entirely analytical (except for a few minor numerical calculations) and that an extensive use of probability generating functions is being made. The analysis leads to simple and accurate (exact or approximate) formulas for a wide variety of performance measures of practical importance, such as mean and variance of buffer occupancies and cell delays, cell loss probabilities, delay jitter, etc. The theory developed in the paper is also applied to the detailed performance evaluation of ATM multiplexers and ATM switching elements with dedicated-buffer output queueing arrangements.
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Wittevrongel, S., Bruneel, H. (2002). Discrete-time ATM Queues with Independent and Correlated Arrival Streams. In: Kouvatsos, D. (eds) Performance Evaluation and Applications of ATM Networks. The International Series in Engineering and Computer Science, vol 557. Springer, Boston, MA. https://doi.org/10.1007/0-306-47023-3_16
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DOI: https://doi.org/10.1007/0-306-47023-3_16
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