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Multiple-Model Description and Control Construction Algorithm of Supply Chain

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Cybernetics and Algorithms in Intelligent Systems (CSOC2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 765))

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Abstract

In this paper a multiple-model description of supply chain (SC) is presented. The SC state change is described through differential equations based on a dynamic interpretation of the job execution. The problem is represented as a designing control of SC problem in presence of external actions. The approach is based on decomposition of the problem on two parts and its solution with the help of optimal control theory methods and linear programming.

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References

  1. Schwartz, D., Wang, W., Rivera, D.: Simulation-based optimization of process control policies for inventory management in supply chains. Automatica 125(2), 1311–1320 (2006)

    Article  MATH  Google Scholar 

  2. Garcia, C.A., Ibeas, A., Herrera, J., Vilanova, R.: Inventory control for the supplychain: an adaptive control approach based on the identification of the lead-time. Omega 40, 314–327 (2012)

    Article  Google Scholar 

  3. Perea, E., Grossman, I., Ydstie, E., Tahmassebi, T.: Dynamic modeling and classical control theary for supply chain management. Comput. Chem. Eng. 24, 1143–1149 (2000)

    Article  Google Scholar 

  4. Ortega, M.: Control theory applications to the production-inventory problem: a review. Int. J. Prod. Res. 8(2), 74–80 (2000)

    Google Scholar 

  5. Ivanov, D., Sokolov, B., Solovyeva, I., Dolgui, A., Jie, F.: Dynamic recovery policies for time-critical supply chains under conditions of ripple effect. Int. J. Prod. Res. 54(23), 7245–7258 (2016)

    Article  Google Scholar 

  6. Ivanov, D.A., Sokolov, B.V.: Adaptive Supply Chain Management. Springer, Wiley and Sons, New York (2010)

    Book  Google Scholar 

  7. Kalinin, V.N., Sokolov, B.V.: Optimal planning of the process of interaction of moving operating objects. Int. J. Differ. Equations 21(5), 502–506 (1985)

    MATH  Google Scholar 

  8. Chen, Z.L., Pundoor, G.: Order assignment and scheduling in a supply chain. J. Oper. Res. 54, 555–572 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  9. Gubarev, V.A., Zakharov, V.V., Kovalenko, A.N.: Introduction to systems analysis. LGU, Leningrad (1988)

    Google Scholar 

  10. Chernousko, F.L.: State Estimation of Dynamic Systems. SRC Press, Boca Raton (1994)

    MATH  Google Scholar 

  11. Gabasov, R., Dmitruk, N.M., Kirillova, F.M.: Numerical optimization of time-dependent multidimensional systems under polyhedral constraints. Comput. Math. Math. Phys. 45(4), 593–612 (2005)

    MathSciNet  MATH  Google Scholar 

  12. Solovyeva, I., Ivanov, D., Sokolov, B.: Analysis of position optimization method applicability in supply chain management problem. In: 2015 International Conference on “Stability and control processes” in memory of V.I. Zubov, pp. 498–500 (2015)

    Google Scholar 

  13. Popkov, A.S., Baranov, O.V., Smirnov, N.V.: Application of adaptive method of linear programming for technical objects contro. In: 2014 International Conference on Computer Technologies in Physical and Engineering Applications ICCTPEA 2014 - Proceedings, p. 141 (2014)

    Google Scholar 

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Acknowledgments

The research described in this paper is partially supported by the Russian Foundation for Basic Research (grants 16-07-00779, 16-08-00510, 16-08-01277, 16-29-09482-fi-i, 17-08-00797, 17-06-00108, 17-01-00139, 17-20-01214, 17-29-07073-fi-i, 18-07-01272, 18-08-01505), grant 074-U01 (ITMO University), state order of the Ministry of Education and Science of the Russian Federation 2.3135.2017/4.6, state research 007320180003, International project ERASMUS +, Capacity building in higher education, 73751-EPP-1-2016-1-DE-EPPKA2-CBHE-JP, Innovative teaching and learning strategies in open modelling and simulation environment for student-centered engineering education.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    Inna Trofimova

  2. St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, University ITMO, St. Petersburg, Russia

    Boris Sokolov

  3. Berlin School of Economics and Law, Berlin, Germany

    Dmitry Ivanov

Authors
  1. Inna Trofimova
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  2. Boris Sokolov
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  3. Dmitry Ivanov
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Corresponding author

Correspondence to Inna Trofimova .

Editor information

Editors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Radek Silhavy

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Trofimova, I., Sokolov, B., Ivanov, D. (2019). Multiple-Model Description and Control Construction Algorithm of Supply Chain. In: Silhavy, R. (eds) Cybernetics and Algorithms in Intelligent Systems . CSOC2018 2018. Advances in Intelligent Systems and Computing, vol 765. Springer, Cham. https://doi.org/10.1007/978-3-319-91192-2_11

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