Nothing Special   »   [go: up one dir, main page]

Skip to main content

Solution of the Problem of Optimizing Route with Using the Risk Criterion

  • Conference paper
  • First Online:
Lecture Notes in Computational Intelligence and Decision Making (ISDMCI 2021)

Abstract

The aim of the work is to determine the conditions of optimality in the task of plotting the course of the vessel and the operation of divergence of vessels in conditions of intensive navigation. The need for such work is dictated, firstly, by an increase in the intensity of shipping and, secondly, by the emergence of autonomous ships and transport systems, the traffic control algorithms of which obviously require an optimal approach. The criterion of optimality in problems of this class is the expected risk, one of the components of which is the risk of collision of ships. Based on the analysis of methods for constructing ship divergence algorithms, the task is to find a control algorithm that delivers the best results for all participants in the operation. This formulation of the task greatly facilitates the forecast of the actions of all participants in the discrepancy and is especially expedient in the case of participation in the operation of an autonomous system or a ship with which no contact has been established. Theoretically, the task belongs to the most difficult class of control problems - optimal control of a distributed dynamic system with a vector - a goal functional [3, 5, 8, 13,14,15]. The ability to obtain a general solution to the task of optimal ship control makes this study expedient.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Navi-trainer 5000 (version 5.35): Instructor Manual. Transas MIP Ltd. (2014)

    Google Scholar 

  2. Avakov, E.R., Magaril, G.G., Tikhomirov, V.M.: Lagrange’s principle in extremum problems with constraints. Russ. Acad. Sci. 68(3) (2013)

    Google Scholar 

  3. Baba, N., Jain, L.: Computational Intelligence in Games. Physica-Verlag, New York (2001)

    Book  Google Scholar 

  4. Chaturvedi, D.: Modeling and Simulation of Systems Using MATLAB and Simulink. Tailor and Francis Group, LLC, Abingdon (2011)

    MATH  Google Scholar 

  5. Engwerda, J.: LQ Dynamic Optimization and Differential Games, pp. 359–426. Wiley, West Sussex (2005)

    Google Scholar 

  6. Ghosh, D., Singh, A., Shukla, K., Manchanda, K.: Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines. https://doi.org/10.1016/j.ins.2019.07.017

  7. Harold, P., Benson: Multi-objective optimization: Pareto optimal solutions. https://doi.org/10.1007/0-306-48332-7-315

  8. LaValle, S.: Planning Algorithms, pp. 357–586. JCambridge University Press, New York (2006)

    Book  Google Scholar 

  9. Liang, S., Zeng, X., Hong, Y.: Distributed nonsmooth optimization with coupled inequality constraints via modified lagrangian function. IEEE Trans. Autom. Control 63(6) (2018). https://doi.org/10.1109/TAC.2017.2752001

  10. Lisowski, J.: A Ship as a Object for an Automatic Control. Wydawnictwo Morskie, Gdansk (1981)

    Google Scholar 

  11. Lisowski, J.: Ship’s Anticollision Systems. Wydawnictwo Morskie, Gdansk (1981)

    Google Scholar 

  12. Lisowski, J.: The analysis of differential game models of safe ship’s control process. J. Shanghai Maritime Inst. 1, 25–38 (1985)

    Google Scholar 

  13. Lisowski, J.: Game control methods in navigator decision support system. J. Arch. Transp. 17, 133–147 (2005)

    Google Scholar 

  14. Lisowski, J.: The dynamic game theory methods applied to ship control with minimum risk of collision. In: Risk Analysis VI, vol. 17, pp. 293–302. Computational Mechanics Publications, Southampton (2006)

    Google Scholar 

  15. Lisowski, J.: Application of dynamic game and neural network in safe ship control. Pol. J. Environ. Stud. 16(48), 114–120 (2007)

    Google Scholar 

  16. Lisowski, J., Pham, N.: Properties of fuzzy-probability sets in safe navigation. In: CAMS 1992, Workshop IFAC, Genova, pp. 209–219 (1992)

    Google Scholar 

  17. Morawski, L.: Methods of synthesis of systems of steering the ship’s movement along a predetermined trajectory. Sci. J. Gdynia Maritime Acad. (1994)

    Google Scholar 

  18. Nosov, P., Cherniavskyi, V., Zinchenko, S., Popovych, I., Nahrybelnyi, Y., Nosova, H.: Identification of marine emergency response of electronic navigation operator. Radio Electron. Comput. Sci. Control (1), 208–223 (2021). https://doi.org/10.15588/1607-3274-2021-1-20

  19. Nosov, P., Popovych, I., Cherniavskyi, V., Zinchenko, S., Prokopchuk, Y., Makarchuk, D.: Automated identification of an operator anticipation on marine transport. Radio Electron. Comput. Sci. Control (3), 158–172 (2020). https://doi.org/10.15588/1607-3274-2020-3-15

  20. Pontryagin, L., Boltayanskii, V., Gamkrelidze, R., Mishchenko, E.F.: The Mathematical Theory of Optimal Processes. Wiley, Hoboken (1962)

    Google Scholar 

  21. Zinchenko, S., Ben, A., Nosov, P., Popovych, I., Mamenko, P., Mateychuk, V.: Improving the accuracy and reliability of automatic vessel motion control systems. Radio Electron. Comput. Sci. Control 2, 183–195 (2020). https://doi.org/10.15588/1607-3274-2020-2-19

  22. Zinchenko, S., Ben, A., Nosov, P., Popovych, I., Mateichuk, V., Grosheva, O.: The vessel movement optimisation with excessive control. Bull. Univ. Karaganda 3(99), 86–96 (2020). https://doi.org/10.31489/2020Ph3/86-96

  23. Zinchenko, S., et al.: Use of simulator equipment for the development and testing of vessel control systems. Electr. Control. Commun. Eng. 16(2), 58–64 (2020). https://doi.org/10.2478/ecce-2020-0009

    Article  MathSciNet  Google Scholar 

  24. Zinchenko, S., Nosov, P., Mateichuk, V., Mamenko, P., Grosheva, O.: Automatic collision avoidance with multiple targets, including maneuvering ones. Radio Electron. Comput. Sci. Control (4), 211–221 (2019). https://doi.org/10.15588/1607-3274-2019-4-20

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Serhii Zinchenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mamenko, P., Zinchenko, S., Kobets, V., Nosov, P., Popovych, I. (2022). Solution of the Problem of Optimizing Route with Using the Risk Criterion. In: Babichev, S., Lytvynenko, V. (eds) Lecture Notes in Computational Intelligence and Decision Making. ISDMCI 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-030-82014-5_17

Download citation

Publish with us

Policies and ethics