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Single-stage optimization problem with soft restrictions

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Abstract

Most chemical processes are designed with the application of inaccurate mathematical models. Therefore, the objective of optimized chemical processes under uncertainty becomes an actual problem of chemical technology. It is necessary to design a process satisfying all the requirements of the designer regardless of the changing external and internal factors. This paper considers a problem of single-stage optimization with soft restrictions. Moreover, these soft restrictions should be provided with some known probability. It is necessary to note that solution of this problem of single-stage optimization needs the calculation of multidimensional integrals for mathematical expectancy of the criterion functions and probabilistic restrictions. This paper considers an approach to solution of this problem of single-stage optimization based on transforming the probabilistic restrictions into deterministic ones. The efficiency of this approach was illustrated by a computational experiment.

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Authors and Affiliations

  1. Karpov Institute of Physical Chemistry, Moscow, 105064, Russia

    G. M. Ostrovskii

  2. Kazan State Technological University, Kazan, 420015, Tatarstan, Russia

    N. N. Ziyatdinov, T. V. Lapteva & D. D. Pervukhin

Authors
  1. G. M. Ostrovskii
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  2. N. N. Ziyatdinov
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  3. T. V. Lapteva
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  4. D. D. Pervukhin
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Corresponding author

Correspondence to N. N. Ziyatdinov.

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Original Russian Text © G.M. Ostrovskii, N. N. Ziyatdinov, T.V. Lapteva, D.D. Pervukhin, 2009, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2009, Vol. 43, No. 4, pp. 441–451.

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Ostrovskii, G.M., Ziyatdinov, N.N., Lapteva, T.V. et al. Single-stage optimization problem with soft restrictions. Theor Found Chem Eng 43, 420–429 (2009). https://doi.org/10.1134/S0040579509040113

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  • DOI: https://doi.org/10.1134/S0040579509040113

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