Exact Buffer Overflow Calculations for Queues via Martingales
Queueing Systems: Theory and Applications
Modeling IP traffic using the batch Markovian arrival process
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
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In this paper numerical calculations of the buffer overflow time in a batch arrival queueing system are presented. The results indicate that an auto-correlated input stream, heavy-tailed batch size or service time distribution have a critical influence on the frequency of buffer overflows.