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We consider the problem of joint congestion control and power control with outage constraint in an interference limited multihop wireless network. We transform the original nonconvex problem into a convex programming problem and develop a message passing distributed algorithm that can attain the global optimal source rate and link transmit power. This algorithm however requires larger control message size than that of the conventional scheme, which increases network overheads. We continue developing a practical near-optimal distributed algorithm which only requires local SIR measurement to limit the size of the message. Numerical results show that both schemes have nearly identical performance and outperform the conventional scheme.