The purpose of the article is to study the possibility of presenting the full logistic supply chain of dry branches to Ukraine in the form of a network model that would enable analysis of the effectiveness of business processes in the chain by reducing financial and time costs, in particular, ensuring timely delivery of dry fruits for implementation Ukrainian consumers. Results. The issues related to the development of adequate network models of the processes of creating, deploying and supporting the functioning of the full logistics supply chain of dried fruits (SCDF) in Ukraine are considered. It shown that the creation and operation of the SCDF, compared with other SCM class systems, raises a number of specific problems caused by the complexity of the interaction of raw material suppliers (fresh fruit), manufacturers of final products (drying, packaging), storage terminals, distributors, 3PL and 4PL providers (retailers). A model of a complete SCDF in the form of a Petri net (PN) is considered and the interpretation of business processes in a chain by elements of a PN is proposed. The drawbacks of the classic, safe PN as a tool for modeling SCDF has shown. The conclusion was made about the need for expansion, the time of the network model of the SCDF in order to comply with the-just-in-time ’principle in modeling business processes, as well as reflecting the hierarchy that is inherent in the structure of the SCDF. Conclusions. It had proposed to use nested Petri nets (NPN) for the synthesis of the network model of the SCDF. At the same time, the network model of SCDF functioning in the form of a NPN includes two types of objects - the central link reflecting the activities of the focusing company on processing raw materials (dried fruits), and a number of subnets that simulate the activities of raw material suppliers and distributors of finished products.