Skip to main content
Log in

Multicriteria optimization of technological processes under uncertainty conditions

  • Modeling of Behavior and Intelligence
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

The multicriteria optimization problem under uncertainty conditions is considered, which arises at the design stage of a technological process. The uncertainty stems from the inaccuracy of mathematical models and a certain uncertainty of the conditions in which the process will be implemented. The generalization is treated of well known multicriteria optimization methods in the case of the uncertainty accounting. Here, account will be taken of the possibility of the use of control variables at the operation stage to compensate for the uncertainty effect.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Polishchyuk, L.I., Analiz mnogokriterial’nykh ekonomico-matematicheskikh modelei (Analsis of Multi-criteria Economic-Mathematical Models), Novosibirsk: Nauka, 1989.

    Google Scholar 

  2. Caballero, R., Ruiz, F., and Steuer, R.E., Advances in Multiple Objective and Goal Programming, Berlin: Springer-Verlag, 1997.

    MATH  Google Scholar 

  3. Germeier, Yu.B., Vvedenie v teoriyu isslegovaniya operatsii (Introduction to Theory of Operation Investigation), Moscow: Nauka, 1971.

    Google Scholar 

  4. Podinovskii, V.V. and Nogin, V.D., Pareto-optimal’nye resheniya mnogokriterial’nykh zadach (Pareto Optimal Solutions of Multicriteria Problems), Moscow: Nauka, 1982.

    Google Scholar 

  5. Luyben, M.L. and Floudas, C.A., Analysing the Interaction of Design and Control. I. A Multiobjective Framework and Application to Binary Distillation Synthesis, Comput. Chem. Eng., 1994, vol. 18.

  6. Sophos, A., Rodstein, F., and Stephanopoulos, C., Multi-Objective Analysis in Modeling the Petrochemical Industry, Chem. Eng. Sci., 1980, vol. 35.

  7. Halemane, K.P. and Grossmann, I.E., Optimal Process Design under Uncertainty, AIChE J., 1983, vol. 29, pp. 425–433.

    Article  MathSciNet  Google Scholar 

  8. Palazoglu, A. and Arkun, Y., Design of Chemical Plants with Multiregime Capabilities and Robust Dynamic Operability Characteristics, Comput. Chem. Eng., 1987, vol. 11.

  9. Chakraborty, A. and Linninger, A.A., Plant-Wide Waste Management. II. Decision Making under Uncertainty, Ind. Eng. Chem. Res., 2003, vol. 42.

  10. Haimes, Y., Hall, W.A., and Friedman, N.J., Multi-Objective Optimization in Water Resource Systems: The Surrogate Worth Trade-Off Method, Amsterdam: Elsevier, 1975.

    Google Scholar 

  11. Volin, Yu.M. and Ostrovskii, G.M., Optimization of Technological Processes under Partial Uncertainty of Initial Information, Avtom. Telemekh., 1995, no. 12, pp. 88–98.

  12. Volin, Yu.M. and Ostrovskii, G.G., Analysis of Flexibility of Complex Technical Systems under Uncertainty Conditions, Avtom. Telemekh., 2002, no. 17, pp. 92–106.

  13. Bakhvalov, N.S., Zhidkov, N.P., and Kobel’kov, G.M., Chislennye Metody (Numerical Methods), Moscow: Fizmatlit, 2001.

    Google Scholar 

  14. Grossmann, I.E. and Sargent, R.W.H., Optimum Design of Chemical Plants with Uncertain Parameters, AIChE J., 1978, vol. 4, pp. 1021–1028.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © Yu.M. Volin, G.M. Ostrovskii, 2007, published in Avtomatika i Telemekhanika, 2007, No. 3, pp. 165–180.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Volin, Y.M., Ostrovskii, G.M. Multicriteria optimization of technological processes under uncertainty conditions. Autom Remote Control 68, 523–538 (2007). https://doi.org/10.1134/S0005117907030125

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117907030125

PACS numbers

Navigation