Mathematical modeling of the location of logistics centers and two-stage distribution of material flows: a scenario approach
DOI:
https://doi.org/10.34185/1562-9945-5-162-2026-20Keywords:
scenario approach, multi-stage logistics processes, area zoning, mathematical model, optimization, location-allocation problems, system analysisAbstract
The two-stage process of population evacuation and distribution of material resources in an emergency logistics system, which includes population collection points and evacuation centers, is examined. It is assumed that the population is continuously distributed across the region, while the selection of collection points and evacuation centers is carried out consider-ing various emergency scenarios and constraints on territory accessibility and available re-sources. The aim of the study is to ensure the efficient organization of evacuation and mate-rial flows by developing a mathematical model and optimization methods that allow determin-ing the coordinates, number, and capacity of collection points and evacuation centers, as well as rationally allocating human and material flows between stages.
The mathematical formulation of the problem is based on a combined use of continuous and discrete approaches: the population and collection points are considered continuously distributed within the region, whereas safe stay points are treated as discrete objects. The model enables the optimal determination of areas from which the population should gather at specific collection points and how population flows are distributed to safe stay points, taking into account factors such as distance, travel time, facility capacity, and different emergency scenarios. This approach formalizes the two-stage evacuation process and provides an as-sessment of key logistical indicators of the system.
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