Skip to main content
SpringerLink
Log in

Optimal planning for two-stage stochastic industrial systems

  • Models and Solution Methods for Problems in Theory of Scheduling
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

We consider the optimal planning problem for a certain class of industrial systems operating under uncertainty. We construct mathematical models, define optimization problems for the planning, propose efficient algorithms for solving them. We show examples of applied problems that can be formalized in this mathematical model.

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

Access this article

Log in via an institution

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. Aoki, M., Optimization of Stochastic Systems: Topics in Discrete-Time Systems, New York: Academic, 1967. Translated under the title Optimizatsiya stokhasticheskikh sistem, Moscow: Nauka, 1971.

    MATH  Google Scholar 

  2. Ermol’ev, Yu.M., Metody stokhasticheskogo programmirovaniya (Methods of Stochastic Programming), Moscow: Nauka, 1976.

    MATH  Google Scholar 

  3. Walter, J., Stokhasticheskie modeli v ekonomike (Stochastic Models in Economics), Moscow: Statistika, 1976.

    Google Scholar 

  4. Yudin, D.B., Zadachi i metody stokhasticheskogo programmirovaniya (Stochastic Programming Problems and Methods), Moscow: Sovetskoe Radio, 1979.

    MATH  Google Scholar 

  5. Prilutskii, M.Kh., Multicriterial Distribution of a Homogeneous Resource in Hierarchical Systems, Autom. Remote Control, 1996, vol. 57, no. 2, part 2, pp. 266–271.

    Google Scholar 

  6. Prilutskii, M.Kh., Multicriterial Multiindex Volume-Calendar Planning Problems, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2007, no. 1, pp. 78–82.

    Google Scholar 

  7. Afraimovich, L.G. and Prilutskii, M.Kh., Multiindex Optimal Production Planning Problems, Autom. Remote Control, 2010, vol. 71, no. 10, pp. 2145–2151.

    Article  MATH  MathSciNet  Google Scholar 

  8. Prilutskii, M.Kh. and Kostyukov, V.E., Flow Models for Plants with a Nonstop Production Cycle, Inf. Tekhnol., 2007, no. 10, pp. 47–52.

    Google Scholar 

  9. Prilutskii, M.Kh. and Kostyukov, V.E., Volume-Calendar Optimization Problems for Oil Refineries, Sist. Upravlen. Inf. Tekhnol., 2007, no. 2.1 (28), pp. 188–192.

    Google Scholar 

  10. Prilutskii, M.Kh. and Vlasov, S.E., Multicriterial Volume Planning Problems. Lexicographic Schemes, Inf. Tekhnol., 2005, no. 7, pp. 61–66.

    Google Scholar 

  11. Gale, D., The Theory of Linear Economic Models, Chicago: Univ. of Chicago Press, 1960. Translated under the title Teoriya lineinykh ekonomicheskikh modelei, Moscow: Inostrannaya Literatura, 1963.

    Google Scholar 

  12. Prokhorov, Yu.V. and Rozanov, Yu.A., Teoriya veroyatnostei. Osnovnye ponyatiya. Predel’nye teoremy. Sluchainye protsessy (Probability Theory. Basic Notions. Limit Theorems. Random Processes), Moscow: Nauka, 1967.

    Google Scholar 

  13. Feller, W., An Introduction to Probability Theory and Its Applications, New York: Wiley, 1957. Translated under the title Vvedenie v teoriyu veroyatnostei i ee prilozheniya, Moscow: Mir, 1967.

    MATH  Google Scholar 

  14. Prilutskii, M.Kh. and Vlasov, V.S., Resource Distribution Optimization Problems in Planning the Production of Microelectronic Devices, Sist. Upravlen. Inf. Tekhnol., 2009, no. 1 (35), pp. 38–43.

    Google Scholar 

  15. Prilutskii, M.Kh. and Kostyukov, V.E., Optimization Models of Gas and Gas Condensate Processing, Autom. Remote Control, 2012, vol. 72, no. 8, pp. 345–349.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lobachevskii State University, Nizhni Novgorod, Russia

    M. Kh. Prilutskii

Authors
  1. M. Kh. Prilutskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Kh. Prilutskii.

Additional information

Original Russian Text © M.Kh. Prilutskii, 2014, published in Avtomatika i Telemekhanika, 2014, No. 8, pp. 37–47.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Prilutskii, M.K. Optimal planning for two-stage stochastic industrial systems. Autom Remote Control 75, 1384–1392 (2014). https://doi.org/10.1134/S0005117914080037

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117914080037

Keywords

Search

Navigation