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The purpose of the study is to study the influence of the trend on the growth of the green economy on classical economic and mathematical models. The paper considers the features of applying mathematical modeling to optimize production based on a modified model of the transport problem in the context of the growth of the green economy. The research is based on the analysis of the concept of green economy, modeling of business processes in the conditions of green economy growth and application of mathematical methods of linear programming. The solution of the problem is given by means of information technologies. The analysis and modeling of business processes showed the importance of taking into account among the parameters of the mathematical model the costs of product and waste utilization, as well as savings from the possible recycling of raw materials and production waste. On the example of a modified model of the transportation problem the possibilities of analyzing the forecast results of business processes with and without taking into account these parameters are shown. The obtained results have shown that, firstly, the trend of green economy growth affects classical business processes, and it is necessary to take into account new parameters, conditions and changes when modeling economic processes for the efficiency of the waste management system. Secondly, classical mathematical models can be adapted to model the economy in the conditions of green economy growth by including additional parameters in the models - costs of disposal, recycling of production waste, etc.
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Mardanov et al. (2024) studied this question.