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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

Authors: Malinovskiy, Pavel;

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

Abstract

AbstractThis article discusses the application of mathematical methods in logistics to optimize the selection of transport companies and cargo consolidation points. Focusing on the Traveling Salesman Problem (TSP) as a core model, the authors demonstrate how to minimize transportation costs and time by finding efficient routes. Furthermore, the study introduces the Auction Method from game theory to allocate tasks and resources among multiple carriers, ensuring fair competition and optimal pricing. The proposed framework combines combinatorial optimization and strategic bidding, thereby enhancing decision-making in supply chain management. Our findings underscore the value of advanced mathematical models for streamlining logistic operations and reducing operational risks in complex multi-agent environments.

Keywords

game theory, supply chain management, freight flow analysis, warehouse location, transportation optimization, competitive bidding, logistics, route optimization, traveling salesman problem, regional optimization, operational research, supply chain savings, carrier selection, auction method, shipping costs, transport strategy, transportation cost reduction, freight consolidation, logistics planning, cost minimization, transport tariffs, logistics efficiency, Traveling Salesman Problem, TSP, Auction Method, Game Theory, Logistics, Supply Chain, Transport Optimization

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average