Network-centric business model implemented as open self-organizing B2B production network is a relatively novel paradigm of modern digital economy. It has become the subject of the active research and developments during the last times. In particular, this fact is proved by several dozen of the projects on this topic funded by the European Commission Programs during last 15 years. The developed countries consider this novel paradigm of production business organization as a solid trend and a new very promising future model for distributed business, virtual organizations and digital economy as a whole. The paper outlines and analyzes various aspects of this problem and their algorithmic support. In its Part II, the paper formulates the basic production management tasks to be solved in В2В production networks, those include distributed planning and distributed coordinated scheduling of resources of В2В production network nodes (particular companies, production plants), which resources are involved concurrently in multiple common production processes. The paper also analyses the basic (core and reusable) set of tasks and services of the infrastructure aimed to realize the self-organizing style of the В2В production network performance, to support of node interactions and communications, and to provide for the network with the openness. It outlines the basic algorithms solving the aforementioned tasks and refers to the previously developed software prototypes implementing the particular most complicated algorithms supporting В2В performance in stand-alone mode that justify the feasibility of the В2В paradigm of production network at current time.