In order to reduce the energy consumption of wireless sensor networks and control the workload of necessary topology maintenance, the sleep mode and the threshold activation process in the energy saving strategy are considered. Combining with practice, factors such as environmental interferences and physical damages are considered. A repairable M/M/2 vacation queueing model with negative customers, feedback, N-strategy and working breakdown is established. Using quasi birth-and-death process and Gauss-Seidel iterative method, the expressions of performance indicators are given. Then, using MATLAB software for numerical analysis, the influence of system parameters on performance indicators is analysed. Finally, the social optimal parameters are found by constructing benefit functions. Under certain conditions, when \(\lambda =0.64\) and \({{\beta }_{1}}=1.1\), the social benefit F can take the maximum value \(F=12.7729\).

为了减少无线传感器网络的能耗并控制必要的拓扑维护工作量，在节能策略中考虑了睡眠模式和阈值激活过程。结合实际，考虑环境干扰和物理损坏等因素。建立了具有负面客户，反馈，N策略和工作分解的可修复M / M / 2休假排队模型。运用准生死过程和高斯-赛德尔迭代法，给出了性能指标的表达式。然后，使用MATLAB软件进行数值分析，分析了系统参数对性能指标的影响。最后，通过构造利益函数找到社会最优参数。在某些情况下\（\ lambda = 0.64 \）和\（{{{beta} _ {1}} = 1.1 \）时，社会福利F可以取最大值\（F = 12.7729 \）。