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Optimal Management of Two-Stage Stochastic Production Systems

  • Control in Technical Systems
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Abstract

We consider the optimal control problem for a certain class of production systems operating under uncertainty. We construct a mathematical model, give the settings of optimization control problems, and propose efficient algorithms for their solution. We also give examples of applied problems formalized within the framework of the constructed mathematical model.

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References

  1. Kempf, K., Keskinocak, P., and Uzsoy, R., Eds., Planning Production and Inventories in the Extended Enterprise, Int. Ser. Oper. Res. Manage. Sci., vol. 152, New York: Springer, 2010.

  2. Pinedo, M.L., Planning and Scheduling in Manufacturing and Services, New York: Springer-Verlag, 2005.

    MATH  Google Scholar 

  3. Weglarz, J., Eds., Project Scheduling: Recent Models, Algorithms and Applications, New York: Springer, 1999.

    Book  Google Scholar 

  4. Sprecher, A., Resource-Constrained Project Scheduling: Exact Methods for the Multi-Mode Case, Ser. Lect. Notes Econ. Math. Syst., vol. 409, Berlin: Springer, 1994.

  5. Hapke, M., Jaszkiewicz, A., and S-lowiński, R., Fuzzy Multi-Mode Resource-Constrained Project Scheduling with multiple Objectives, in Project Scheduling, Int. Ser. in Operations Research & Management Science, vol. 14, Węglarz, J., Ed., Boston: Springer, 1999.

  6. Armbruster, D., Fonteijn, J., and Wienke, M., Modeling Production Planning and Transient Clearing Functions, Logistics Res., 2012, vol. 5, no. 3–4, pp. 133–139.

    Article  Google Scholar 

  7. Bügler, M. and Borrmann, A., Using Swap-Based Search Trees to Obtain Solutions for Resource Constrained Project Scheduling Problems, Proc. 85th Annual Meeting of the Int. Association of Applied Mathematics and Mechanics (GAMM), 2014, vol. 14, no. 1, pp. 809–810.

    Article  Google Scholar 

  8. Prilutskii, M.Kh., Optimal Planning for Two-Stage Stochastic Industrial Systems, Autom. Remote Control, 2014, vol. 75, no. 8, pp. 1384–1392.

    Article  MathSciNet  MATH  Google Scholar 

  9. 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.

    MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  13. Prilutskii, M.Kh., Optimal Planning for Models of Two-Stage Stochastic Production Systems, Proc. 7 Moscow Intl. Conf. on Operation Research (ORM 2013), Moscow, 2013, vol. 2, pp. 48–49.

    Google Scholar 

  14. Bellman, R., Dynamic Programming, Princeton, New Jersey: Princeton Univ. Press, 1957. Translated under the title Dinamicheskoe programmirovanie, Moscow: Inostrannaya Literatura, 1960.

    Google Scholar 

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Authors and Affiliations

  1. Nizhny Novgorod State University, Nizhny Novgorod, Russia

    M. Kh. Prilutskii

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  1. M. Kh. Prilutskii
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Correspondence to M. Kh. Prilutskii.

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Original Russian Text © M.Kh. Prilutskii, 2018, published in Avtomatika i Telemekhanika, 2018, No. 5, pp. 69–82.

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Prilutskii, M.K. Optimal Management of Two-Stage Stochastic Production Systems. Autom Remote Control 79, 830–840 (2018). https://doi.org/10.1134/S0005117918050053

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