Abstract
This article provides a comprehensive analysis of various resource management methods within the framework of shared consumption systems that allow enterprises to effectively use common assets such as vehicles, equipment, cloud computing and software. The purpose of the study is to evaluate the advantages and disadvantages of each shared consumption system and determine the optimal mathematical methods for their implementation, including game theory, route optimization methods, linear programming, queue theory, distributed computing algorithms, and others. Special attention is paid to the possibilities of integrating these methods to improve the management of shared consumption, reduce costs and increase the efficiency of resource use in the digital economy. The analysis reveals how modern mathematical methods and artificial intelligence technologies can contribute to the development of more efficient and flexible sharing systems adapted to changing market conditions and user needs.
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