THE APPLICATION OF THE METHOD OF SEQUENTIAL CONCESSIONS IN SOLVING THE MILITARY-APPLIED TASK OF MULTI-CRITERIA OPTIMIZATION ON OPTIMAL PLANNING FOR THE ELIMINATION OF A MAN-MADE ACCIDENT
Section: GENERAL SECTION
Authors:
1.
Military Educational Research Centre of Air Force «Air Force Academy named after professor N. E. Zhukovsky and Y. A. Gagarin»
2.
Military Educational Research Centre of Air Force «Air Force Academy named after professor N. E. Zhukovsky and Y. A. Gagarin»
Type:
Сonference article
Pages:
from 93
to 102
Published:
30.12.2025
Subject area:
UDC 517
Language:
Russian
Keywords:
linear programming problems, graphical method, multi-criteria optimization problems, sequential assignment method
Abstract (English):
The authors discuss the issues of multi-criteria optimization in military-applied tasks, namely the method of successive concessions in the task of planning the elimination of the consequences of a man-made disaster. Based on the data on the availability of fire extinguishing and radiation contamination kits, the probabilities of their failure, and the available personnel, a mathematical model is formulated. The model contains two objective functions, one of which is a priority, and a system of constraints. Using the graphical method of solving linear programming problems and the capabilities of MS Excel 2010, the authors successfully applied the sequential assignment method to solve multi-criteria problems, and prepared a report for consideration by the decision maker. The report contains a solution to the problem for different assignment values according to the first criterion and the corresponding values of the criteria themselves.
The authors discuss the issues of multi-criteria optimization in military-applied tasks, namely the method of successive concessions in the task of planning the elimination of the consequences of a man-made disaster. Based on the data on the availability of fire extinguishing and radiation contamination kits, the probabilities of their failure, and the available personnel, a mathematical model is formulated. The model contains two objective functions, one of which is a priority, and a system of constraints. Using the graphical method of solving linear programming problems and the capabilities of MS Excel 2010, the authors successfully applied the sequential assignment method to solve multi-criteria problems, and prepared a report for consideration by the decision maker. The report contains a solution to the problem for different assignment values according to the first criterion and the corresponding values of the criteria themselves.
Keywords:
linear programming problems, graphical method, multi-criteria optimization problems, sequential assignment method
linear programming problems, graphical method, multi-criteria optimization problems, sequential assignment method
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2. Korotchenko A.G., Kumagina E.A., Smoryakova V.M. Vvedenie v mnogokriterial'nuyu optimizaciyu. Uchebno-metodicheskoe posobie. – Nizhniy Novgorod: Nizhegorodskiy gosuniversitet, 2017. – 55 s. EDN: https://elibrary.ru/BHRRHN
