Statistical guarantee of QoS in communication networks with temporally correlated loss

We present an analytical study for the Gilbert loss model describing temporally correlated loss observed in the Internet and other communication systems. We obtain closed-form solutions describing the transient and steady-state behavior of the model. Additionally, starting from recursive equations of the Gilbert loss model, we derive closed-form solutions for arrival and loss patterns of the systems governed by the model. We show that utilizing our model yields a lower complexity compared to existing recursive models, attracting special attention for use in many different wired and wireless networking applications relying on such a model.