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Article information
2015 , Volume 20, ¹ 4, p.56-82
Novikov I.S.
Algorithms for solving the problem of optimization of the economic impact from environmental pollution that account the resources to eliminate local sources
The problem of evaluation and optimization for economic damage from environmental pollution produced by local sources is an actual problem in the world today. Local sources can act as industrial pipes, as well as forest and peat fires, which make a significant contribution to air pollution (for example, summer 2010). Amount of public resources needed to eliminate pollution and its consequences. Health of people in the region of possible contamination depends on effectiveness and timeliness for solving the problem. In this paper algorithms for solving the optimization problem of economic damage from environmental pollution, that takes into account a certain amount of resources allocated to solve the problem are presented. The solution of the problem is based on the method of “dual” representation of the residual functional and optimal control methods. The first algorithm is one-step method. It is based on the assumption that resources are sufficient only for a single-step calculation of “controls” (the laws by which it is necessary to reduce the intensity of the local sources). Another algorithm is a multistep method. “Controls” are repeatedly evaluated and refined in this method. In both methods values of “controls” depend on the available amount of resources. A monotone scheme of the first order of accuracy is used for numerical solution of the problem. In this paper the results of numerical experiment for solving the problem that illustrate the validity of the theoretical propositions of the problem and the effectiveness of the multistep algorithm are presented.
[full text]
Keywords: Adjoint equations, optimal control, economic damage, numerical modeling of pollutions
Author(s):
Novikov Ivan Sergeevich
Position: Student
Office: Instite of Numerical Mathematics Russian Academy of Sciences
Address: 119333, Russia, Moscow
Phone Office: (495) 984-81-20
E-mail: nissonsv@mail.ru
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Bibliography link:
Novikov I.S. Algorithms for solving the problem of optimization of the economic impact from environmental pollution that account the resources to eliminate local sources // Computational technologies. 2015. V. 20. ¹ 4. P. 56-82
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