In this paper, we validate that the deterministic distance-based analytical model can be used to estimate the reliability of one-dimensional (1-D) 802.11 broadcast wireless networks compared with the interference-based analytical model. Therefore, we propose a deterministic distance-based reliability analytical framework for such networks in d-dimensional (d-D, \(d \ge 1\)) scenarios. This framework takes into account the fading channel and hidden terminal problem and makes three commonly used reliability metrics able to be resolved, including point-to-point packet reception probability (NRP), packet delivery ratio (PDR), and packet reception ratio (PRR). There are two key factors involved in deducing the effect of hidden terminals. One is to measure the hidden terminal transmission probability during the vulnerable period, which can be calculated based on the approximate solution of the semi-Markov process model capturing the channel contention and the back-off behavior. Another is the challenge to determine the size of the area to which the hidden terminals belong. First, we give a general mathematical expression on the size of the hidden terminal coverage affecting NRP which is an important part of the closed-form solution of NRP/PRR. Second, we adopt the Monte-Carlo method to solve the size of general hidden terminal coverage affecting PDR, making it possible to approximate PDR, as well as control the efficiency and accuracy by constraining the relative error. Finally, we adopt a multi-parameter optimization scheme to find the optimum settings for the network to ensure the quality of service and maximize channel utilization. A series of experimental results show that the framework can be used to access the reliability of 802.11 based d-D broadcast wireless network and pave the way for further optimization.

在本文中，我们验证了与基于干扰的分析模型相比，基于确定性的距离分析模型可用于估计一维（1-D）802.11广播无线网络的可靠性。因此，我们为d维（d -D，\（d \ ge 1 \））场景中的此类网络提出了一种基于确定性的基于距离的可靠性分析框架。该框架考虑了衰落信道和隐藏终端问题，并使三个常用的可靠性指标得以解决，包括点对点数据包接收概率（NRP），数据包传送率（PDR）和数据包接收率（PRR））。推断隐藏终端的影响涉及两个关键因素。一种方法是测量脆弱时期内的隐藏终端传输概率，该概率可以基于捕获信道争用和退避行为的半马尔可夫过程模型的近似解来计算。另一个挑战是确定隐藏终端所属区域的大小。首先，我们给出了影响NRP的隐藏终端覆盖范围大小的一般数学表达式，这是NRP / PRR闭式解决方案的重要组成部分。其次，我们采用蒙特卡洛方法来解决影响PDR的一般隐藏终端覆盖范围的大小，从而可以近似PDR以及通过限制相对误差来控制效率和准确性。最后，我们采用多参数优化方案来找到网络的最佳设置，以确保服务质量并最大化信道利用率。一系列实验结果表明，该框架可用于访问基于802.11的d -D广播无线网络的可靠性，并为进一步优化铺平了道路。