This paper focuses on link scheduling in a wireless network with successive interference cancellation (SIC), and proposes a multi-level protocol model and an order-aware physical model to characterize the impact of SIC. As link scheduling in a wireless network with SIC is NP-hard, the study resorts to an approximate solution: (1) under the order-aware physical model, the study presents a scheduling scheme such that the approximation ratio is O(g), where g is the link diversity factor; (2) under the multi-level protocol model, the study presents an efficient scheduling scheme such that the approximation ratio is a constant. Finally, this study uses extensive simulations to investigate the impact of SIC on the scheduling performance in practice.