Currently there is competition between supply chains. In modern business environments, an effective supply chain management (SCM) is crucial to business continuity. Competition between supply chains (SC) has replaced the traditional competition between companies. Lean, Agile, Resilient and Green (LARG) paradigms are advocated as the foundation of a competitive SCM. Nowadays, companies review trade samples and process of supply chain inevitably by using improving new techniques because of rapid environmental change. For this purpose, Larg supply chain management is a comprehensive approach to combining lean, agile, resilient and green strategies. Management of supply chain tries to apply lean, agile, resilience, green and in supply chain management in space of management of supply chain by use of the approach in order to benefit advantages of each of them and cover their deficiencies simultaneously. In this paper, we will examine the Larg supply chain management models that are composed of lean, agile, resilient and green supply chain paradigms. The results show that these models have a significant impact on supply chain performance and gain competitive advantage.