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Protection of biological resources in the coastal area: the mathematical model
Computer Research and Modeling, 2015, v. 7, no. 5, pp. 1109-1125Views (last year): 1. Citations: 1 (RSCI).Protection of aquatic biological resources in the coastal area has significant features (a large number of small fishing vessels, the dynamism of the situation, the use of coastal protection), by virtue of which stands in a class of applications. A mathematical model of protection designed for the determination of detection equipment and means of violators of the situation in order to ensure the function of deterrence of illegal activities. Resolves a tactical game-theoretic problem - find the optimal line patrol (parking) means of implementation (guard boats) and optimal removal of seats from the shore fishing violators. Using the methods of the theory of experimental design, linear regression models to assess the contribution of the main factors affecting the results of the simulation.
In order to enhance the sustainability and adequacy of the model is proposed to use the mechanism of rankings means of protection, based on the borders and the rank and Pareto allows to take into account the principles of protection and further means of protection. To account for the variability of the situation offered several scenarios in which it is advisable to perform calculations.
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Nonextensive Tsallis statistics of contract system of prime contractors and subcontractors in defense industry
Computer Research and Modeling, 2022, v. 14, no. 5, pp. 1163-1183In this work, we analyze the system of contracts made by Russian defense enterprises in the process of state defense order execution. We conclude that methods of statistical mechanics can be applied to the description of the given system. Following the original grand-canonical ensemble approach, we can create the statistical ensemble under investigation as a set of instant snapshots of indistinguishable contracts having individual values. We show that due to government regulations of contract prices the contract system can be described in terms of nonextensive Tsallis statistics. We have found that probability distributions of contract prices correspond to deformed Bose – Einstein distributions obtained using nonextensive Tsallis entropy. This conclusion is true both in the case of the whole set of contracts and in the case of the contracts made by an individual defense company as a seller.
In order to analyze how deformed Bose – Einstein distributions fit the empirical contract price distributions we compare the corresponding cumulative distribution functions. We conclude that annual distributions of individual sales which correspond to each company’s contract (order) can be used as relevant data for contract price distributions analysis. The empirical cumulative distribution functions for the individual sales ranking of Concern CSRI Elektropribor, one of the leading Russian defense companies, are analyzed for the period 2007–2021. The theoretical cumulative distribution functions, obtained using deformed Bose – Einstein distributions in the case of «rare contract gas» limit, fit well to the empirical cumulative distribution functions. The fitted values for the entropic index show that the degree of nonextensivity of the system under investigations is rather high. It is shown that the characteristic prices of distributions can be estimated by weighing the values of annual individual sales with the escort probabilities. Given that the fitted values of chemical potential are equal to zero, we suggest that «gas of contracts» can be compared to photon gas in which the number of particles is not conserved.
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Russian participants in BOINC-based volunteer computing projects. The activity statistics
Computer Research and Modeling, 2015, v. 7, no. 3, pp. 727-734Views (last year): 4. Citations: 4 (RSCI).The article analyses the activity statistics of the Russian participants of volunteer computing (VC) using platform BOINC obtained by the authors. The data has been received with API BOINC and site www.boincstats.com. The script for the database was written in PHP, for data storing was used MySQL.
The database indicators were accumulated across all Russian projects, which allowed the calculation of the indicators characterizing the behavior of the Russian participants in all projects and teams BOINC — absolute and relative number of Russian participants, their activity, the number of introduced points system, the number of participants in each of the Russian project participants, interest in the concept of the VC.
It is shown that the position of Russia in the countries ranking is very low and is retained at the same level for 4 years. According to the authors, low activity of the Russian participants of the VC, due to individualism and the closure of Russian Internet users, as well as to a small interest in the development of fundamental science, scientific research. This, possibly due to the low-prestige as a science as a whole, as well as civil science, crowdsourcing, in particular. And, therefore, we can see insufficient dissemination of the ideas of using the mechanism of VC for research projects.
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International Interdisciplinary Conference "Mathematics. Computing. Education"