Abstract: Service-oriented manufacturing, as a new advanced manufacturing model formed by the integration of manufacturing activities and service activities, is the mainstream direction of manufacturing transformation and upgrading. On account of service embedding and multi-agent participation, traditional supply chain operation mode is difficult to adapt to the requirements of service-oriented manufacturing, and it is urgent to reconstruct the supply chain network for service-oriented manufacturing. For the service-oriented manufacturing model of product and after-sales service integration, a product service supply chain network including manufacturers, sales service integrators and customers is constructed, and the logistics, service flow and information flow in the network are fully analyzed. There is a problem of equilibrium of interests among the various entities in the new product service supply chain network. Therefore, variation inequalities are used to describe the optimal operation behavior of manufacturers, sales service integrators and demand market and the conditions for achieving equilibrium. Finally, the numerical examples are simulated by the modified projection algorithm, and the equilibrium product flow and value flow in the product service supply chain network are obtained, as well as the equilibrium product price and service price. The results show that product service supply chain network is more complex and diversified than the traditional supply chain operation, which is manifested in the intimate combination of service and logistics, network node interaction and cross-level communication; the level of after-sales service provided by the after-sales service system directly affects the demand for products in the supply chain, while the sales volume of the products provided by the former market constitutes the potential demand for after-sales service in the aftermarket; customers' demand for services mainly comes from sales service integrators, some of which are provided by manufacturers. However, most of the services provided by manufacturers are core and professional services, and the service level is high, which is irreplaceable by sales service integrators.

Key words: product-service supply chain, network equilibrium, service level, variation inequality