Blyuss B., Dziuba S., Koriashkina L., Lubenets D. Improvement of mathematical models of two-stage resource allocation processes in emergency logistics systems
- Details
- Parent Category: Geo-Technical Mechanics, 2025
- Category: Geo-Technical Mechanics, 2025, Issue 174
Geotech. meh. 2025, 174, 88-104
IMPROVEMENT OF MATHEMATICAL MODELS OF TWO-STAGE RESOURCE ALLOCATION PROCESSES IN EMERGENCY LOGISTICS SYSTEMS
1 Prydniprovskyi Scientific Center of the National Academy of Sciences of Ukraine and the Ministry of Education and Science of Ukraine
2M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
3 Dnipro University of Technology
UDC 519.8
Language: English
Abstract. The paper addresses the problem of optimizing the placement of facilities and the distribution of material resources in the context of emergency logistics. The relevance of the research is driven by the increasing frequency of natural and man-made disasters, which necessitates effective response planning to mitigate losses and threats to human life. The focus is on the development of mathematical models and methods aimed at improving the efficiency of logistical operations.
A new approach to mathematical modeling of multi-stage logistics processes is proposed, which combines the ideas of optimal placement of intermediate distribution centers and multiplex territorial zoning. Existing models of facility location problems with two-stage resource distribution have been improved by assigning each end consumer to several nearest intermediate distribution centers, which increases the reliability of service delivery to those in need. The facilities to be located may serve either as primary collection points for the population in case of evacuation from an emergency area, or as distribution and supply points for essential goods delivered from state reserve warehouses or other hubs and then distributed among intermediate centers for delivery to residents of the affected region.
The mathematical formulation is based on the theory of continuous optimal partitioning problems, duality theory, linear programming methods of the transportation type, and modern algorithms of nonsmooth (derivative-free) optimization. A numerical scheme is proposed for solving optimal flow distribution problems in multi-level transport and logistics networks.
The results have practical significance for planning logistics operations in emergency situations, particularly for the effective location of medical and humanitarian aid points, resource allocation, and population evacuation. The proposed approach enables the implementation of a comprehensive decision support system for crisis response management and can be applied to a wide range of strategic problems in industrial, social, and economic domains, providing effective support for decision-making in complex logistics systems.
Keywords: optimization, transport and logistics system, multi-stage distribution, decomposition of a continuous set, system approach
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About authors
Blyuss Borys, Corresponding Member of NAS of Ukraine, Head of Department of Ecology of mastering Natural Resources; Director, Prydniprovskyi Scientific Center of the National Academy of Sciences of Ukraine and the Ministry of Education and Science of Ukraine, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0003-3077-1220
Dziuba Serhii, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Senior Researcher in Department of ecology of development of natural resources, M.S. Poliakov Institute for Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author),ORCID 0000-0002-3139-2989
Koriashkina Larysa, Doctor of Technical Sciences (D.Sc.), Associate Professor, Professor of the Department of System Analysis and Control, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0001-6423-092X
Lubenets Danylo, Ph.D. Student of the Department of System Analysis and Control, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0009-0000-8563-3760