The Physical Internet (PI) is a logistics network paradigm emphasizing operational, digital, and physical connectivity using encapsulation, interfaces, and protocols. However, the dynamic and collaborative nature of the network makes it complex to manage, and the lack of robust and effective routing protocols would prevent it from functioning efficiently. This paper proposes a dynamic and reactive routing protocol considering various contexts, such as disturbing events and route constraints. Moreover, it proposes a network slicing-based protocol for more efficient resource allocation and management and to guide individual self-interested decisions toward a system-wide common goal. The protocols are evaluated using real orders data from two major retail chains in France.