Geodesic
The optimization of actions in the joint operation of objects or systems, taking into account synergetic effects
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 16 (2024) no. 1, pp. 32-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article develops a model for coordinating the actions of objects or systems in joint interaction leading to synergetic effects based on a common automatic model of these objects or systems. The description of the general automaton model is carried out based on the aggregation of individual components representing separate objects or systems, which also correspond to automaton models. As a special example, the actions of law enforcement units that participate in emergency situations is considered. On the basis of a general automaton model and a description of the actions of units, a numerical method for optimizing the sequence of actions has been developed based on a scheme of branches and boundaries. The effectiveness is confirmed by the fact that alternative actions may occur during the interaction of individual objects or systems and, therefore, a complete search is not advisable.
Keywords: the joint functioning of objects, automatic model, emergency, sequence of actions, synergetic effects, optimization model, scheme of branches and boundaries, the evaluation of partial solutions. 
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V. V. Menshikh; V. A. Nikitenko. The optimization of actions in the joint operation of objects or systems, taking into account synergetic effects. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 16 (2024) no. 1, pp. 32-38. http://geodesic.mathdoc.fr/item/VYURM_2024_16_1_a3/

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