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 Âûïóñê 48
- Podvalny S., Vasiljev E. A multi-alternative approach to control in open systems: origins, current state and future prospects
The paper addresses biological origins, the present state and future prospects of a multi-alternative approach to the problem of automatic control in dynamical systems. We show that this approach meets the famous Law of Requisite Variety by Ashby and generalizes natural evolutionary mechanisms of open biological systems supporting their high level of adaptation to environment changes. We provide several examples of multi-alternative control in technical systems. These examples show increase in robustness and efficiency in accordance with predictions of biological analogy. We formulate the general functional scheme of a multi-alternative control system, build its mathematical model and analyze the prospects of their extension in the context of intellectual control systems.
- Uskov A., Kiselev I. Comparing fuzzy arithmetic with quaternion arithmetic and applying the former to control system analysis
We prove equivalence conditions for arithmetical operations with LR-type fuzzy numbers and for those with quaternions. Our results justify using graphical tools like vector and hodograph diagrams to visualize arithmetical operations. In some cases this equivalence also simplifies algorithms which implement arithmetic operations. We illustrate our approach with the analysis of a control system under fuzzy uncertainty. This paper extends our recent results on comparing arithmetical operations with LR-type fuzzy numbers and those with complex numbers.
- Kozlov S., Ostrikov U., Suhanov A. Optimal resource allocation based on two-level criterion
We discuss the model of optimal resource allocation in a distributed data processing system. A two-level vector optimization criterion is used for allocation
- Kotelnikov A., Lebedev V. Using lattice theory for information processing in detection systems
We consider the problem of security systems development for land areas and strategic facilities. The results of lattice theory are used to justify the system structure and the approach to its design. We employ closure operator-based lattices to process and analyze data from sensors.
- Naumov I., Vykhovanets V. Using syntactic text analysis to estimate educational tasks’ difficulty and complexity
We suggest a routine for automatic assessment of complexity and difficulty of educational tasks. This routine is based on text parsing, phrases’ predicative structures identification and semantic network construction. Then we develop a mathematical model which employs a notion on semantic distance between words to calculate the volume of knowledge in a semantic network. We show that the volume of knowledge in a semantic network is a measure in the space of all semantic networks, and the semantic distance makes this space the metric one.
- Mylnikov L., Maksimov A. Using data from social networks to make decisions in socio-economic systems: accounting of social factors
We suggest an approach of using data from social networks for decision-making in socio-economic systems. We develop the model to calculate personal cues and business proficiency of individuals using data from Facebook social network and discuss applications of the obtained metrics in criteria-based decision making routines.
- Akinfiev V. Investment portfolio problem for foreign technology transfer in transport machine building industry
We consider a problem of selecting the “degree of localization” for the process of transferring the world-best technologies in the area of transport machine building. Investment projects of this sort may have different purposes; their participants may have conflicting and informally defined interests. We suggest a scheme for project participant interests’ coordination, which is based on the method of minimizing the sum of trade-offs.
- Smirnova N. Towards diagnosing students’ input in mathematical tasks of particular type for use in model-tracing intelligent tutoring systems
The paper is dedicated to computer-aided assessment of multi-step problems provided by interactive model-tracing intelligent tutoring systems. An approach is suggested for determining which formulas could student’s formula be derived from. In some cases, the suggested approach can discover whether student’s step is an imitation. The suggested approach is a part of the algorithm which calculates student’s solution progress.
- Kushnikov V., Shcherbakov M. Process control system for float glass production: problems, models, and algorithms
We discuss problems, models, algorithms, and software to design rational control for flat glass production process. The rational control must optimize a vector criterion which characterizes damage caused by product quality corruption and the probability of an accident leading to the complete shutdown of the float process.
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