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There is a constant need to improve the rate-quantization (R-Q) model to achieve accurate rate control for real-time video encoding. In the literature, considerable efforts have been focused on developing all kinds of R-Q models. In this paper, we extend our previous work in B. Xie, et al., (2002) and propose a new algorithm for R-Q model parameter estimation, as well as a new approach to address the model failure issue by thresholding the quantization parameter (QP) determined by the R-Q model without introducing additional complexity. Experimental results show that the new R-Q model parameter estimation algorithm improves over the one we previously proposed, and the QP thresholding approach can address the model failure issue well. With both contributions, the proposed QP determination solution can achieve very close performance to the benchmark solution discussed that achieves the best performance by using an operational requantization approach.