American Journal of Computer Science and Engineering Survey Open Access

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Overflow and Idle Probabilities of Voice Multiplexing System

Yaqing Wang* and Peng Wen

This letter proposes a voice multiplexing system model based on the framework of Stochastic Fluid Model (SFM) with finite capacity buffer. Using the sample path truncation method, we first obtain a truncated stochastic process of the system model, and then the transition rate matrix is derived based on the probability matrix of First Passage Time (FPT). The exact expressions of the overflow and the idle probabilities of the packet voice multiplexing system are derived by the Matrix-Analytic Methodology. Finally, numerical example is performed to illustrate our theoretical results. As an application, given the maximum tolerable overflow probability, the two optimal system parameter settings are given.