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In wireless ad hoc networks, the link SNR varies due to fading and this causes a temporary link error and blocks the multi-hop packet transmission. The cognitive temporary bypassing method was proposed to improve the transmission quality. In this paper, the proposed protocol is improved by adding acknowledgement and anti-collision functions necessary to achieve reliable multi-hop transmission. Packet success probability with the improved method has been analyzed for Rayleigh faded wireless links as functions of hop count. Simulation results using a modified QualNet simulator validate that packet success probability is remarkably improved with the method for maximum Doppler frequencies up to 30 Hz.