Application of mathematical methods in logistics: using the traveling salesman problem and the auction method from game theory to optimize the selection of transport companies and cargo consolidation points

In today's business environment, particularly in logistics, process optimization and cost reduction are critical success factors. This paper analyzes the application of game theory problems, such as the auction method and the traveling salesman problem, to select optimal transport companies, determine cargo consolidation points, and calculate cost savings. The auction method is used to solve selection problems where multiple transport companies compete by offering the lowest bid, minimizing costs for the organizer. The goal of this study is to apply these methods to select carriers for freight shipping, calculate optimal consolidation points, and demonstrate the economic impact based on real freight flow statistics.