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This paper addresses joint power control and link scheduling problem in Spatial-reuse Time Division Multiple Access (STDMA) networks with consecutive transmission constraint, where multiple links should be scheduled in a number of consecutive time slots. By multi-link management with power control and scheduling, the network can provide lower transmission latency or support more users. In this paper, a new heuristic solution is proposed. Different from previous works, our method is based on the lagrangian dual theory and can be applied to more general scenarios. Moreover, it can be efficiently implemented in a polynomial time with the help of binary searching. Simulation results show that the method can reduce the transmission latency significantly.