METHODS AND MODELS OF GRAPH THEORY IN LOGISTICS PROCESSES
The use of different models in logistics activities is due to the fact that the main tasks of logistics in general are related to optimization. Analyzing the problematics of logistics processes in general, there are many questions related to the construction of optimal routes, optimization of order time, and analysis of flow processes of various nature. The purpose of the study is to identify and generalize methods of graph theory and network modeling with the possibility of using them in various logistics processes. The research methods used in this article include a theoretical aspect. This is a sign simulation that contains formulas and graphs that describe logistics processes. These are analysis and synthesis, which are associated with a systematic approach to the study of any functional areas of logistics. This is also a generalization of the obtained results in order to extend it to other areas of logistics. The generalization is based on the methods of synthesis and analysis. We should mention mathematical modeling as the basis of graph theory and network modeling. As a result of the research, we can conclude that many aspects, concepts, methods of graph theory and network modeling can be applied in almost all functional areas of logistics. In this regard, the use of appropriate methods and modeling can help in answering many questions related to logistics activities.
Keywords: logistics, flow processes, graph theory, network modeling, optimization, routing, transportation, procurements, information flows.
Highlights:
♦ the main aspects of graph theory and network modeling for use in logistics processes are highlighted;
♦ mechanisms for optimizing logistics processes using graph theory and network modeling are generalized;
♦ recommendations for managing traffic flow on the example of a city network are offered.
Elena V. Shvetsova, Candidate of Economics, Associate Professor of the Marketing, Logistics and Advertising Department at Samara State University of Economics.