Simulation Modeling for Evaluation of Efficiency of Observed Ship Coordinates

ABSTRACT: Simulation computer modeling was used to evaluate the efficiency of the vessel’s observed coordinates using the mixed laws of distribution errors of the first and second type for lines of position (LOP). Simulation modeling showed good convergence of evaluation of efficiency calculated by analytical expressions and obtained by simulation. A graphical depiction of the observed points’ deviation relative to the mathematical expectation in the case of distribution of LOP errors of both types according to mixed laws is obtained by the method of least squares and the method of maximum likelihood estimation.

KEYWORDS: Ship Coordinates, Observed Ship Coordinates, Simulation Modeling, Simulation Computer Modeling, Lines of Position (LOP), LOP Errors, Method of Least Squares (MLS), Method of Maximum Likelihood Estimation

REFERENCES

Astaykin, D. et al.: The effectiveness of ship’s position using the laws of distribution of errors in navigation measurements. In: Transport Means - Proceedings of the International Conference. pp. 662–665 (2020).

Astaykin, D. et al.: Use of the mixed laws of distribution of random errors of the navigational measurement for the increase of exactness of navigation. In: Transport Means - Proceedings of the International Conference. pp. 1504–1507 (2019).

Banachowicz A., Wolski A.: A Comparison of the Least Squares with Kalman Filter Methods Used in Algorithms of Fusion with Dead Reckoning Navigation Data. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 11, No. 4, doi:10.12716/1001.11.04.16, pp. 691-695, 2017

Czaplewski K., Specht C., Dąbrowski P., Specht M., Wiśniewski Z., Koc W., Wilk A., Karwowski K., Chrostowski P., Szmagliński J.: Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 13, No. 4, doi:10.12716/1001.13.04.25, pp. 895-900, 2019

Filipowicz W.: On Nautical Observation Errors Evaluation. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 9, No. 4, doi:10.12716/1001.09.04.11, pp. 545-550, 2015

H. Chen et al.: Improved Maximum Likelihood Method for Ship Parameter Identification. In: 2018 37th Chinese Control Conference (CCC). pp. 1614–1621 (2018). - doi:10.23919/ChiCC.2018.8483871

Hsu, D.A.: An Analysis of Error Distributions in Navigation. Journal of Navigation. 32, 3, 426–429 (1979). - doi:10.1017/S037346330002631X

Li, S. et al.: Distributed coordination for collision avoidance of multiple ships considering ship maneuverability. Ocean Engineering. 181, 212–226 (2019). - doi:10.1016/j.oceaneng.2019.03.054

M. P. Musiyenko et al.: Development of double median filter for optical navigation problems. In: 2016 IEEE First International Conference on Data Stream Mining & Processing (DSMP). pp. 177–181 (2016). - doi:10.1109/DSMP.2016.7583535

M. P. Musiyenko et al.: Simulation the behavior of robot sub-swarm in spatial corridors. In: 2016 IEEE 36th International Conference on Electronics and Nanotechnology (ELNANO). pp. 382–387 (2016). - doi:10.1109/ELNANO.2016.7493090

Naess, A., Moan, T.: Stochastic Dynamics of Marine Structures. Cambridge University Press, Cambridge (2012). - doi:10.1017/CBO9781139021364

Vorokhobin, I. et al.: Determination of the law of probability distribution of navigation measurements. In: Transport Means - Proceedings of the International Conference. pp. 707–710 (2020).

Weintrit, A., Neumann, T.: Advances in marine navigation and safety of sea transportation. Introduction. Advances in Marine Navigation and Safety of Sea Transportation - 13th International Conference on Marine Navigation and Safety of Sea Transportation, TransNav 2019. 1 (2019).

Weintrit, A., Neumann, T.: Safety of sea transportation introduction. Safety of Sea Transportation - Proceedings of the International Conference on Marine Navigation and Safety of Sea Transportation, TRANSNAV 2017. 17–20 (2017).

X. Zhang, Z. Xu: A Nonlinear Observer for Ship Dynamic Positioning System. In: 2020 Chinese Automation Congress (CAC). pp. 3878–3883 (2020). - doi:10.1109/CAC51589.2020.9327637

Z. Yongqiang, G. Chen: The coordinate control of ship steering and main propulsion in constrict waters for collision avoidance. In: 2010 International Conference on Logistics Systems and Intelligent Management (ICLSIM). pp. 568–572 (2010). - doi:10.1109/ICLSIM.2010.5461359

Zhuravska, I. et al.: Development of a method for determining the area of operation of unmanned vehicles formation by using the graph theory. Eastern-European Journal of Enterprise Technologies. 2, 3 (92), 4–12 (2018). - doi:10.15587/1729-4061.2018.128745

Citation note:

Vorokhobin I., Burmaka I., Fusar I., Burmaka O.: Simulation Modeling for Evaluation of Efficiency of Observed Ship Coordinates. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 16, No. 1, doi:10.12716/1001.16.01.15, pp. 137-141, 2022

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Authors in other databases:

Igor Vorokhobin: ORCID iD icon

orcid.org/0000-0001-7066-314X Scopus icon

57221684695 Scholar icon

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Igor Burmaka: Scopus icon

57193029328 Scholar icon

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Igor Fusar:

O. Burmaka:

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