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Solution of optimization problem of wood fuel facility location by the thermal energy cost criterion
Computer Research and Modeling, 2012, v. 4, no. 3, pp. 651-659Views (last year): 5. Citations: 2 (RSCI).The paper contains a mathematical model for the optimal location of enterprises producing fuel from renewable wood waste for the regional distributed heating supply system. Optimization is based on total cost minimization of the end product – the thermal energy from wood fuel. A method for solving the problem is based on genetic algorithm. The paper also shows the practical results of the model by example of Udmurt Republic.
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3D molecular dynamic simulation of thermodynamic equilibrium problem for heated nickel
Computer Research and Modeling, 2015, v. 7, no. 3, pp. 573-579Views (last year): 2.This work is devoted to molecular dynamic modeling of the thermal impact processes on the metal sample consisting of nickel atoms. For the solution of this problem, a continuous mathematical model on the basis of the classical Newton mechanics equations has been used; a numerical method based on the Verlet scheme has been chosen; a parallel algorithm has been offered, and its realization within the MPI and OpenMP technologies has been executed. By means of the developed parallel program, the investigation of thermodynamic equilibrium of nickel atoms’ system under the conditions of heating a sample to desired temperature has been executed. In numerical experiments both optimum parameters of calculation procedure and physical parameters of analyzed process have been defined. The obtained numerical results are well corresponding to known theoretical and experimental data.
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International Interdisciplinary Conference "Mathematics. Computing. Education"