The authors chose the topic of an economic and mathematical model of effective management of an integrated transport and logical system, due to the relevance of the topic throughout the world and in all areas of activity. Effective integration is possible if it is based on the methodological principles of the concept of integrated logistics, when the economic interests of subjects and objects of the transport-logical system are coordinated while ensuring the implementation of the strategy and goals of the functioning of the system as a whole. The object of the research is the JSC “Uzbek Railways” of the Republic of Uzbekistan. The research priority is transport and logistics management. During the research, difficulties emerged that have created multivariance. The article presents modern methods of managing the transport and logistics system, the classification of modern methods of management concepts that make up the theoretical and methodological foundations of the integrated management of the transport and logistics system, the efficiency of delivery times for options A, B, C, D and the economic efficiency of managing the transport and logistics system. Transport and logistics models are considered in economics as a business concept, having calculated the best option, you can optimize the economic process. In the conclusion, recommendations are given on the use of a mathematical model, short-term and long-term strategies for effective management of the transport and logistics system are given.