The problem of modeling and forming the value chains in the Arctic zone, which has some critical features, is considered in Industry 4.0. A rationale for concepts and a review of approaches to modeling the business chains is given, a systematization of groups of business chains is carried out, and their characteristics are given. It is proposed to consider the Arctic economic zone, for development purpose, as a complex of value chains that form different values in the areas of production, mining, logistics, social sphere, etc. A generalized model of the logistic chain is described in detail, a description of the parameters is given, and the efficiency of the entire chain is evaluated, considering the local effectiveness of the chain participants. To ensure marginal efficiency, the task of managing the structure (composition) of the logistics chain is considered, which allows participants to vary in terms of their functionality, resource support and level of local efficiency, considering the synergy of interaction in the chain structure.