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Fairness in OBS networks is becoming a significant issue due to the network high loss characteristic. We propose a rate fairness preemption (RFP) scheme that can provide rate fairness in OBS networks. The RFP scheme adaptively allocates a fair amount of bandwidth to all connections and uses the preemption technique to provide this fairness. We present the analytical burst loss model for RFP implementation. Analysis and simulation results show that the RFP scheme effectively provides rate fairness in OBS networks.