Abstract: In order to guarantee the QoS for wireless multi-hop network，to calculate the QoS performance bounds is needed.In this paper，a business model about multi-hop wireless network is established based on statistical traffic envelopes，and then the node’s statistical delay bound，the statistical end-to-end delay bound and the statistical end-to-end backlog bound are derived using statistical network calculus theory.All simulated results for different data flows are bounded by theoretical results.These show the QoS performance bounds model for wireless multi-hop network performs well.

Key words: statistical network calculus, Quality of Service（QoS）, wireless multi-hop networks, performance bounds

摘要： 为保证无线多跳网的服务质量（QoS），需要求解其性能边界。基于统计型流量包络建立了无线多跳网的数据流传输模型，在此模型的基础上利用统计网络演算理论推导了无线多跳网单节点的时延统计性边界、端到端的时延统计性边界以及端到端数据积压统计性边界。仿真实验结果表明，不同数据流的测量值都在数值计算的边界范围之内，表明基于统计网络演算理论的无线多跳网QoS边界模型具有较好的性能。

关键词: 统计网络演算, 服务质量, 无线多跳网, 性能边界