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Random access is well motivated and has been widely applied when the network traffic is bursty and the expected throughput is not high. The main reason behind relatively low-throughput expectations is that collided packets are typically discarded. In this paper, we develop a novel protocol exploiting successive interference cancellation (SIC) in a tree algorithm (TA), where collided packets are reserved for reuse. Our SICTA protocol can achieve markedly higher maximum stable throughput relative to existing alternatives. Throughput performance is analyzed for general d-ary SICTA with both gated and window access. It is shown that the throughput for d-ary SICTA with gated access is about (ln d)/(d - 1), and can reach 0.693 for d = 2. This represents a 40% increase over the renowned first-come-first-serve (FCFS) 0.487 tree algorithm. Delay performance is also analyzed for SICTA with gated access, and numerical results are provided.