Complex systems and simulation models

Buslenko, N. P.

doi:10.1007/bf01070419

Cited by 10 publications

(7 citation statements)

References 4 publications

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“…Поєднання у ОС існуючих БпАК та КОС ускладнене відсутністю їх комплексування на технічному та інформаційному рівнях, суттєвими відмінностями в принципах застосування та обслуговування, інших. Відомо, що зазначені проблеми притаманні для всіх складних систем та їх вирішення здійснюється на етапі системотехнічного проектування перспективної системи [11][12][13].…”

Section: формулювання проблеми та аналіз літературиunclassified

“…Для розв'язання задачі системотехнічного проектування ОС використаємо запропоновані в статті [14] чотири показники ефективності: ймовірність того, що завдання ОС виконано; ймовірність того, що завдання ОС виконано частково; ймовірність того, що завдання ОС не виконано; ймовірність «обману користувача» ОС. Визначення значень цих показників можливе двома шляхами: перший -проведення натурного експерименту, другий -проведення наукового експерименту з використанням стохастичної моделі [11].…”

Section: формулювання проблеми та аналіз літературиunclassified

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A stochastic model of the security system's functional behavior for a critical infrastructure object

Salnyk¹,

Volochiy²

2021

A.I.S.

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Context. Objects of critical infrastructure require adequate security. The security systems for such objects have a specific requirements. Fulfilment of part of these requirements can provide by an unattended ground sensor complex which uses seismic sensors. The second part of the requirements can be performed by an unmanned aircraft complex. Therefore, it is seen as practical feasibility to combine these two complexes in one security system with three control zones. The first (Further) and second (Hither) control zones are served by an unattended ground sensor complex. The third control zone (intruder escort zone) is assigned on the data from the unattended ground sensor complex: the type of intruder, his speed and direction of movement. The unmanned aircraft complex is used to perform a security system task in the intruder's tracking area on command from the unattended ground sensor complex. You need to know two question answers to implement such a security system. First, what is the efficiency indicator value of the security system will ensure the combination of the existing complexes with their functionality indicators. And the second, what should be the functionality indicators requirements of these complexes in order for the security system to provide the required performance indicator value. Objective. Therefore, the goal of the article is to show the potential value of the efficiency index of the security system formed from the existing complexes, as well as to assess the possibility of increasing its efficiency. Methods. This goal is achieved by the stochastic model of functional behavior, which should reproduce all variants of the security system components reaction to the crossing of three control zones by intruders. Results. The main result is a discrete-continuous stochastic model of the functional behavior of the critical infrastructure object security system in the form of 76 Kolmogorov-Chapman differential equations system. The grade of the stochastic model adequacy makes it possible, in addition to the analysis tasks of the security system effectiveness, to solve the synthesis tasks of functionality indicators of the complex components that are integrated into the security system. Conclusions. Research was conducted have shown that it is impractical to create a security system based on existing unattended ground sensor complexes and unmanned aircraft systems for critical infrastructure objects because of the unacceptably low system efficiency. Based on the synthesis task solution, the functionality indicators values of the each complex components, in particular those that will provide the required value of the security system efficiency indicator, are presented. The stochastic model of the functional behavior of the security system can be used in the information technology of its design to find compromise solutions between different variants of composition, structure and functional behavior of the security system.

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Section: формулювання проблеми та аналіз літературиunclassified

A stochastic model of the security system's functional behavior for a critical infrastructure object

Salnyk¹,

Volochiy²

2021

A.I.S.

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“…Following N.P. Buslenko [1], we will distinguish components of complex systems. These components themselves can be complex systems in the sense of the previous sentence, i.e.…”

Section: From Model Synthesis To the Geometric Theorymentioning

confidence: 99%

Elements of Geometric Theory of Complex Systems Behavior

Brodsky

2020

Wseas Transactions on Systems and Control

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The paper proposes the elements of a geometric theory of behavior. The basis of this theory is Model Synthesis - an end-to-end technology for describing, synthesizing and implementing agent models. Its main achievement – is the formalization of an agent by a mathematical object - a species of structure in the sense of N. Bourbaki. Algorithms that implement actions of agents are included in the base sets of this species of structure. Let us consider morphisms of the base sets with the special attention to the actions mappings. It occurs that unrestricted mappings of base sets can radically change system’s behavior. We can use invariants as restrictions of mappings, if demand their preservation under admissible morphisms. As a result, we can obtain a classification of the systems behavior depending on the invariants that persist during the mappings.

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“…Let us outline the range of systems this work is devoted to, by listing some of their fundamental properties: • Fractality. That means that the components of the complex system may be also complex systems [1], see Fig. 1. • Behavior.…”

Section: Introductionmentioning

confidence: 99%

Structural theory as a research language for open complex systems, including social ones

Brodsky

2023

E3S Web of Conf.

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The application of structural theory allows to see the same universal construction, called a “model,” applicable to a broad class of modeling areas. Everything in the world is a model in this theory: an agent, a complex of agents, and a complex of complexes. We can say that the widely known formula: “One in all and all in One” is true in this area, as well as the well-known aphorism of H. Poincare: “Mathematics is the art of calling different things by the same name.” The application of geometric theory is the consideration of morphisms of base sets and the assigning invariants that allow a complex system to remain under such morphisms. The proposed language for the complex systems behavior makes it possible to draw several interesting conclusions about the nature of complex open systems, simply due to its means of distinguishing entities. A complex system must sacrifice a part of its power (the most expensive and liquid that it has) to preserve its laws of life (maintain its structure and set of axioms). Otherwise, it will not be able to remain itself. It is interesting to remember that many religions teach that this world stands on the sacrifice.

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Complex systems and simulation models

Cited by 10 publications

References 4 publications

A stochastic model of the security system's functional behavior for a critical infrastructure object

A stochastic model of the security system's functional behavior for a critical infrastructure object

Elements of Geometric Theory of Complex Systems Behavior

Structural theory as a research language for open complex systems, including social ones

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