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The authors reviewed the statistics of winter diesel fuel consumption in the Russian Federation for 2000–2017, revealed a positive growth rate. On this fact, the relevance of the study was substantiated. The complexity and importance of the refining process leads to the need for digitalization of oil refineries. The object of the study is obtaining winter diesel fuel, taking into account transport costs. The subject of the study is digitalization of the oil refining process on the base of constructing the mathematical model for obtaining winter diesel fuel, taking into account delivery costs. Main research methods: retrospective data analysis, synthesis, comparison, linear programming methods. The authors considered two stages of winter diesel fuel production: dewaxing a mixture of stages of hydrocarbon raw materials on zeolite and subsequent compounding. For each stage, the authors compiled a system of equations describing the process. The authors also compiled a target function for obtaining winter diesel fuel, taking into account the costs of receiving and delivering. The obtained mathematical model can be used to ensure the required quality of winter diesel fuel (in terms of sulfur content, density and flash point).

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The research subject is a mathematical model of municipal solid waste management (hereinafter – MMMSWM). Relevance: the growth of the world’s population and its consumption (primarily, in the Golden Billion countries) leads to a corresponding increase in the amount of solid municipal waste (hereinafter – SMW). This increase is an additional global warming factor. Also, growing SMW requires additional land areas. Since the time of Galileo, science has been the application of mathematics to study any object. In the case of SMW, building and solving a mathematical model of SMW management will reduce the anthropogenic load on Earth. The research objective is to build a mathematical model of municipal solid waste management and propose ways to solve it. The research goal is to perform a literature review of existing mathematical models of municipal solid waste management and suggest a new MMMSWM. The research techniques include retrospective analysis, synthesis, comparison, and methods of the theory of differential equations. The research result is building a new mathematical model of solid municipal waste management, which ensures an acceptable control over the filtrate concentration.

The climatic features of Russia, as well as the need for the development of the Arctic and the Great Northern Sea Route, require an increase in the production of winter diesel fuel. The object of the study is obtaining winter diesel fuel. The subject of the study is digitalizing oil-refining processes by building the mathematical model of winter diesel fuel production for the case of combining dewaxing regimes taking into account the logistical aspect. Main research methods: retrospective data analysis, synthesis, comparison, optimization theory methods. A literary review was carried out, the main methods for improving the low-temperature properties of winter diesel fuel were revealed. Study hypothesis: a combination of dewaxing regimes will increase the yield of denormalizate and, accordingly, winter diesel fuel. The authors for each mode of dewaxing compiled a mathematical model. Then, the authors constructed a mathematical model of obtaining winter diesel fuel for a combination of dewaxing regimes and taking into account the logistical aspect. The obtained mathematical model can be used to obtain the required amount of winter diesel fuel with compliance with quality requirements and taking into account the logistical aspect.