Abstract: In industrial wireless sensor networks, it has higher requirements in real-time and reliability. based on the generalized UMM fair principles, using the ideas of piecewise linear function to simplify the calculation, we presents a resource allocation algorithm based on piecewise linear function. The method is based on the structure of centralized control, and can ensure timely transfer of the high time critical traffic, but not affect the traffic with high real-time and low bandwidth requirements. Finally, through the wireless data acquisition network deployed in Tianjin Chemical Corporation, we test the performance of algorithm.