Randomized algorithms of Monte Carlo method for problems with random parameters (“double randomization” method)

Subject. This article discusses the innovation activities of companies participating in clusters. Objectives. The article aims to justify a choice of State support facilities for the innovation activities of enterprises participating in clusters. Methods. For the study, we used the hierarchical aggregated indices randomization method and Monte Carlo method. Results. During the study of cluster construction in St. Petersburg, an array of data was obtained. Based on calculations, we show the choice of two enterprises, the best ones in terms of assessing the probability of dominance. We justify the possibility of using such a characteristic of randomized aggregated indices as the value of mathematical expectation, as a choice criterion. Conclusions. The algorithm developed to apply the aggregated indices randomization method develops an institutional approach to the analysis of regional clusters.

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Solution of a Gas Pipeline Buried in Ground by Stochastic Approach

Strojnícky casopis – Journal of Mechanical Engineering ◽

10.2478/scjme-2020-0010 ◽

2020 ◽

Vol 70 (1) ◽

pp. 103-114

Author(s):

Mihelová Silvia ◽

Frydrýšek Karel ◽

Jančo Roland

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Stochastic Approach ◽

Gas Pipeline ◽

Straight Section ◽

Random Parameters ◽

Pipeline Section ◽

Reliability Calculation ◽

The Monte Carlo Method ◽

Mathematical Derivation

AbstractThe paper deals with stress and reliability calculation of a gas pipeline straight section buried in a ground (elastic foundation) loaded by heating and internal overpressure. Mathematical derivation of relations necessary for reliability calculation of the pipeline section by stochastic approach is also included in the paper. Resulting values are obtained by software Anthill using the Monte Carlo method. Input random parameters of the examined pipeline section are shown by bounded histograms.

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Double randomization method for estimating the moments of solution to vehicular traffic problems with random parameters

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2020-0011 ◽

2020 ◽

Vol 35 (3) ◽

pp. 143-152

Author(s):

Aleksandr Burmistrov ◽

Mariya Korotchenko

Keyword(s):

Flow Model ◽

Type Equation ◽

Vehicular Traffic ◽

Linear Functionals ◽

Random Parameters ◽

Monte Carlo Algorithms ◽

Different Types ◽

Double Randomization Method ◽

And Behavior ◽

Randomization Method

AbstractIn this paper we consider a Boltzmann type equation arising in the kinetic vehicle traffic flow model with an acceleration variable. The latter model is improved within the framework of the previously developed approach by introducing a set of random parameters. This enables us to take into account different types of interacting vehicles, as well as various parameters describing skills and behavior of particular drivers. We develop new Monte Carlo algorithms to evaluate probabilistic moments of linear functionals of the solution to the considered equation.

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Outbursts of comet Schwassmann-Wachmann 1, and the cloud of interplanetary boulders

International Astronomical Union Colloquium ◽

10.1017/s0252921100034035 ◽

1974 ◽

Vol 22 ◽

pp. 307 ◽

Cited By ~ 3

Author(s):

Zdenek Sekanina

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Interplanetary Space ◽

Porous Matrix ◽

Maximum Diameter ◽

Expansion Velocity ◽

Solid Constituent ◽

Meteoric Material ◽

Periodic Comet

AbstractIt is suggested that the outbursts of Periodic Comet Schwassmann-Wachmann 1 are triggered by impacts of interplanetary boulders on the surface of the comet’s nucleus. The existence of a cloud of such boulders in interplanetary space was predicted by Harwit (1967). We have used the hypothesis to calculate the characteristics of the outbursts – such as their mean rate, optically important dimensions of ejected debris, expansion velocity of the ejecta, maximum diameter of the expanding cloud before it fades out, and the magnitude of the accompanying orbital impulse – and found them reasonably consistent with observations, if the solid constituent of the comet is assumed in the form of a porous matrix of lowstrength meteoric material. A Monte Carlo method was applied to simulate the distributions of impacts, their directions and impact velocities.

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Structures and crystallization of vacuum-deposited amorphous Se and Sb films

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100173832 ◽

1990 ◽

Vol 48 (4) ◽

pp. 140-141

Author(s):

Makoto Shiojiri ◽

Toshiyuki Isshiki ◽

Tetsuya Fudaba ◽

Yoshihiro Hirota

Keyword(s):

Monte Carlo ◽

Electron Microscope ◽

Monte Carlo Method ◽

Computer Program ◽

Radial Distribution ◽

Film Formation ◽

Amorphous State ◽

Two Dimensional ◽

Amorphous Films ◽

Binding Condition

In hexagonal Se crystal each atom is covalently bound to two others to form an endless spiral chain, and in Sb crystal each atom to three others to form an extended puckered sheet. Such chains and sheets may be regarded as one- and two- dimensional molecules, respectively. In this paper we investigate the structures in amorphous state of these elements and the crystallization.HRTEM and ED images of vacuum-deposited amorphous Se and Sb films were taken with a JEM-200CX electron microscope (Cs=1.2 mm). The structure models of amorphous films were constructed on a computer by Monte Carlo method. Generated atoms were subsequently deposited on a space of 2 nm×2 nm as they fulfiled the binding condition, to form a film 5 nm thick (Fig. 1a-1c). An improvement on a previous computer program has been made as to realize the actual film formation. Radial distribution fuction (RDF) curves, ED intensities and HRTEM images for the constructed structure models were calculated, and compared with the observed ones.

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