L.E. Mistrov1, E.V. Golovchenko2

1,2 Military Educational and Scientific Center of the Air Force "Air Force Academy n.a. after Professor N.E. Zhukovsky and Yu.A. Gagarin" (Voronezh, Russia)
1 Central Branch of the FSBEI HE "Russian State University of Justice" n.a. V. M. Lebedev (Voronezh, Russia)
1 mistrov_le@mail.ru, 2 evvigo@mail.ru

The article analyzes the problem of ensuring the sustainability of the functioning of organizational and technical systems (OTS) and shows that the existing methods for achieving it are applicable only to technical systems. They are unacceptable for OTS due to the large dimension of the problem, the uncertainty of the conditions of their application and, most importantly, the main element in their decision-making circuits is a person (governing body) – a decision maker (DM), whose functioning algorithms are far from optimal. This determined the purpose of the article, aimed at a system analysis of the strategies for distributing different types of resources and system modeling of the interaction of component parts (CP) on a set of environmental conditions to ensure the structural sustainability of the functioning of the OTS, which involves identifying and modeling qualitative and quantitative changes in its trajectory of movement in the phase space of states when changing the structure and behavior strategies.

The solution of the system modeling problem is based on constructing trajectories of the functioning of the CP, representing the OTS of lesser functional activity, and determining the strategies for making OTS decisions on resource allocation taking into account intra-system factors, connections and interdependence of the application of the CP to achieve the required state that meets the goals, criteria and resources (constraints). Its solution is carried out at the functional, structural and parametric levels of modeling a weakly formalized process of resource management to achieve sustainability of the functioning of the CP of the OTS taking into account the strategies of their behavior. The presence of many goals for applying the CP, many strategies for achieving them and many resources for resolving their intra-system conflicts at the functional level predetermined the formulation of the problem – finding on the Cartesian product of many goals an optimal strategy for distributing a heterogeneous resource based on resolving cause-and-effect intra-system conflicts to ensure sustainable multi-purpose functioning of the OTS.

The basis for modeling the resource allocation process for synthesizing the sustainability of the OTS functioning is the justification of the method (of the operator or their combination) for achieving the goal based on the arrangement and optimization of the system-forming elements: goals, functions, resource structure, initial data and the organization of OTS management. The resource allocation procedure is represented by an information process ending with the formation of a resource vector consistent with the goals of the CR and the capabilities of the OTS. In the set-theoretical description, it is determined by the Cartesian product of the goals and the set of resources and their properties, allowing us to justify the set of admissible solutions. The method is represented by a directed graph of goals, decomposed by the tasks of the CR, and characterized by the assignment of admissible values of the resource use criteria. This ensured the synthesis of the structure of the system model on a set of resources and their properties (signs of goal attainability), which is a high-dimensional combinatorial discrete optimization model, and the implementation of solutions to the resource distribution problem for several of its different combinations.

At the structural level, modeling the resource allocation problem is based on constructing a quadratic matrix of connections between the CR of the OTS, establishing relationships on the set of their operating conditions. It is represented by a connected graph establishing relationships between pairs of nodes of the CR graph and allowing one to specify in matrix form the structure and nature of relationships between the controlled parameters according to the functional features being modeled.

System analysis of the type, quantity and quality of resources ensured that an information map of the states of the OTS was formed at the parametric level, the structure and properties of which are determined by the objects serviced by the OTS. The diversity of practical situations in which the OTS is used determines the further specification of the model and connections between particular models related to the specifics of the operating conditions of its CR. Based on the parametric description of the states of the OTS, its structural-parametric model is constructed in the form of a checkered matrix reflecting the conflicting states of the CR and the degree of their influence on each other.

The systemic representation of the modeling problem allows, on the basis of a priori information, to carry out formal analysis, diagnostics, assessment of the nature of intra-system conflict states and justification of optimal strategies for the distribution of different types of resources to ensure the stability of the functioning of the OTS.

Mistrov L.E., Golovchenko E.V. System modeling of the resource allocation problem to ensure structural stability of interaction of elements of the organizational and technical system // Science Intensive Technologies. 2026. V. 27. № 4. P. 31−47. DOI: https://doi.org/ 10.18127/j19998465-202604-04

1. Akamsina N.V., Mistrov L.E., Serbulov Yu.S. Metod obosnovaniya informacionnyh struktur obespecheniya ustojchivosti vzaimodejstviya proizvodstvenno-ekonomicheskih sistem na stadii formirovaniya zadaniya na ih razrabotku. Inzhenernaya fizika. 2010. № 4. S. 17–19 (In Russian).
2. Sysoev V.V. Sistemnoe modelirovanie mnogocelevyh ob"ektov. Metody analiza i optimizacii slozhnyh sistem. M.: In-t fiz.-tekhn. problem RAN, 1993. S. 80–88 (In Russian).
3. Emel'yanov S.V., Olejnik A.G., Popkov Yu.S., Putilov V.A. Informacionnye tekhnologii regional'nogo upravleniya. M.: URSS. 2004. 400 s. (In Russian).
4. Mistrov L.E., Pavlovskij M.V., Petrichenko A.V., Shackih V.M.  Metod uporyadocheniya ob"ektov informacionnogo vozdejstviya. Nelinejnyj mir. 2017. № 5. S. 57–68 (In Russian).
5. Rozen V.V. Cel' – optimal'nost' – resheniya (matematicheskie modeli prinyatiya optimal'nyh reshenij). M.: Radio i svyaz'. 1982. 168 s. (In Russian).
6. Ajzerman M.A., Aleskerov F.T. Vybor variantov: osnovy teorii M.: Nauka. 1990. 240 s. (In Russian).
7. Fishbern P.S. Teoriya poleznosti dlya prinyatiya resheniya. M.: Nauka. 1978. 352 s. (In Russian).
8. Shrejder Yu.A., Sharov A.A. Sistemy i modeli. M.: Radio i svyaz'. 1982. 152 s. (In Russian).
9. Mesarovich M., Takahara Ya. Obshchaya teoriya sistem: matematicheskie osnovy. M.: Mir. 1978. 311 s. (In Russian).