Today, natural gas, with certain advantages over other fossil fuels, is one of the main energy resources for various industries and housing and communal services. As a rule, when choosing a gas transportation method for different categories of consumers, several options are considered depending on the mutual removal of the source and the consumer – construction of a gas pipeline or the creation of a liquefied gas infrastructure. Analysis of energy supply problems in some constituent entities of the Russian Federation showed that a reasonable choice of technological parameters of a gas distribution system based on liquefied natural gas (LNG) is an urgent task that requires preliminary modeling. The paper proposes a solution to a particular problem of supplying consumers with liquefied natural gas, a logistic model for the optimal functioning of the system for the complex: LNG plant – a consumer. Based on the results of calculations for the conditions of the Republic of Karelia, recommendations are proposed for the optimal location of the source (LNG plant) and optimization of the transport component.