While there are other risks in a supply chain, this paper focuses mainly on the inbound supply risk as Rice et al. (2003) point out that managers are less concerned for outbound flows than inbound flows in supply chain disruption. For example, a disruption in transport for inbound materials will more likely result in additional disruption in supply, whereas a disruption in outbound product flow is less likely to have an affect on internal operations. Supply risk in this study is defined as the potential occurrence of an unexpected event associated with inbound supply from individual supplier failure in which its outcomes result in the inability of the purchasing company to meet its customers’ demands (Zsidisin 2003). The rest of this paper is developed as follows: Section 2 presents a review of the relevant literature. Section 3 draws insights from normal accident theory to explain the role of postponement in supply chain risk management. Section 4 investigates the complexity implications of some commonly recommended measures to mitigate supply chain disruptions. Section 5 concludes the paper with a summary and some suggestions for future research.