Multi-packet reception (MPR) technique can effectively increase throughput of wireless networks.We establish a suitable cross-layer design model for a wireless mesh network. It is a mixed integer programming model, which cannot be solved within polynomial time in general. We then propose a near-optimal solution to be solved in polynomial time. In this solution, integer variables are released into the space of a real number field,
and the original mixed integer programming model becomes a linear programming model. We can obtain the near-optimal solution by iteration. Compared with optimal solutions without MPR, we show that throughput is increased by about 300% when using MPR.