Journal of Navigation and Port Research (한국항해항만학회지)

Korean Institute of Navigation and Port Research (한국항해항만학회)
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A Study on the Safety Navigational Width of Bridges Across Waterways Considering Optimal Traffic Distribution

최적 교통분포를 고려한 해상교량의 안전 통항 폭에 관한 연구

  • Received : 2022.07.01
  • Accepted : 2022.08.02
  • Published : 2022.08.31
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Abstract

Bridges across waterways act as interference factors, that reduce the navigable water area from the perspective of navigation safety. To analyze the safety navigational width of ships navigating bridges across waterways, the optimal traffic distribution based on AIS data was investigated, and ships were classified according to size through k-means clustering. As a result of the goodness-of-fit analysis of the clustered data, the lognormal distribution was found to be close to the optimal distribution for Incheon Bridge and Busan Harbor Bridge. Also, the normal distributions for Mokpo Bridge and Machang Bridge were analyzed. Based on the lognormal and normal distribution, the analysis results assumed that the safe passage range of the vessel was 95% of the confidence interval, As a result, regarding the Incheon Bridge, the difference between the normal distribution and the lognormal distribution was the largest, at 64m to 98m. The minimum difference was 10m, which was revealed for Machang Bridge. Accordingly, regarding Incheon Bridge, it was analyzed that it is more appropriate to present a safety width of traffic by assuming a lognormal distribution, rather than suggesting a safety navigation width by assuming a normal distribution. Regarding other bridges, it was analyzed that similar results could be obtained using any of the two distributions, because of the similarity in width between the normal and lognormal distributions. Based on the above results, it is judged that if a safe navigational range is presented, it will contribute to the safe operation of ships as well as the prevention of accidents.

해상교량은 선박의 통항 안전성 관점에서 가항수역을 줄이는 간섭요인으로 작용한다. 본 연구에서는 선박의 안전한 통항을 위해 최적 통항분포에 기반한 안전 통항폭을 분석하였다. 해상교량을 통항하는 선박의 안전 통항 폭에 대한 분석을 위해 AIS data에 기반한 선박교통분포를 조사하여 K-means clustering을 통해 선박을 크기에 따라 분류하였다. 군집화된 데이터에 대하여 최적분포 분석을 한 결과, 인천대교와 부산항대교에서는 대수정규분포, 목포대교와 마창대교에서는 정규분포가 최적분포에 가까운 것으로 분석되었다. 대수정규분포와 정규분포를 기준으로 선박 안전 통항 범위를 신뢰구간의 95%로 가정하여 분석한 결과, 인천대교의 경우 정규분포와 대수정규분포 간의 차이가 64~97m로 가장 큰 것으로 나타났으며, 최소 차이는 10m로 마창대교에서 나타났다. 이에 따라, 인천대교의 경우에는 정규분포보다 대수정규분포로 안전 통항 폭을 제시하는 것이 적합한 것으로 분석되었다. 타 교량의 경우에는 정규분포와 대수정규분포 간의 통항 폭 차이가 크지 않기 때문에 둘 중 어떤 분포를 사용해도 유사한 결과를 얻을 수 있는 것으로 분석되었다. 위 결과를 토대로, 해상교량의 안전통항 범위를 제시한다면 선박의 안전한 운항 및 사고 예방에 도움이 될 것이다.

Keywords

References

  1. Akaike, H.(1974), "A new look at the statistical model identification". IEEE transactions on automatic control, Vol. 19, No. 6, pp. 716-723. https://doi.org/10.1109/TAC.1974.1100705
  2. Bae, E. H., Kim, S. Y., Kim, R. G., Song, J. H. and Lee T. K.(2008), "Planning, Design and Construction of Machang Grand Bridge", Magazine of the Korea Concrete Institute, Vol. 20, No. 1, pp. 41-51. https://doi.org/10.22636/MKCI.2008.20.1.41
  3. Charrad, M., Ghazzali, N., Boiteau, V. and Niknafs, A. (2014), "NbClust: An R Package for Determining the Relevant Number of Clusters in a Data Set". Journal of statistical software, Vol. 61, pp. 1-36.
  4. Cullen, A. C. and Frey, H. C.(1999). Probabilistic Techniques in Exposure Assessment: A Handbook for Dealing with Variability and Uncertainty in Models and Inputs. Springer Science & Business Media, pp. 1-335.
  5. D'Agostino, R. B. and Stephens, M. A.(1986), Goodness-of-fit techniques. Statistics: Textbooks and Monographs.
  6. Delignette-Muller, M. L. and Dutang, C.(2015), "fitdistrplus: An R package for fitting distributions. Journal of statistical software", Vol. 64, No. 4, pp. 1-34.
  7. Garcia, S., Luengo, J. and Herrera, F.(2015), Data preprocessing in data mining (Vol. 72), Springer International Publishing, pp. 1-320.
  8. Gluver, H. and Olsen, D.(1998), Ship Collision Analysis: Proceedings of the international symposium on advances in the ship collision analysis, Copenhagen, Denmark, CRC press, pp. 3-11.
  9. Hastie, T., Tibshirani, R., Friedman, J. H. and Friedman, J. H.(2009), The Elements of Statistical Learning: Data Mining, Inference, and Prediction (Vol. 2). Springer., pp. 1-758.
  10. Huang, Z.(1998), "Extensions to the K-means Algorithm for Clustering large data sets with categorical values". Data Mining and Knowledge Discovery, Vol. 2, No. 3, pp. 283-304. https://doi.org/10.1023/A:1009769707641
  11. Incheon Bridge. Co, Ltd.(2010), Incheon Bridge Construction Note. pp. 2-443.
  12. Inoue, K.(1977), "On the separation of traffic at straight waterway by distribution model of ship". Japan Institute of Navigation, Vol 56, pp. 103-115. https://doi.org/10.9749/jin.58.103
  13. Jang, S. J., Sim, S. B., Han, C. and Kim, M. B.(2012), "Design and Construction of Underground Continuous Wall for Construction of Tower Foundation of North Busan Bridge", Korean Geotechnical Society, Vol. 11, pp. 12-23.
  14. Kim, J. K.(2018), "A Study on the Analysis of Traffic Distribution and Traffic Pattern on Traffic Route using ND-K-S", Journal of Korean Navigation and Port Research, Vol. 42, No. 6, pp. 446-452.
  15. Korean Register(2022), Guidelines for Maritime Autonomous Surface Ship, Korean Register, pp. 1-27.
  16. Larson, O. D.(1993) Ship Collision with Bridge, IABSE, pp. 1-6.
  17. Lee, H. T., Lee, J. S., Cho, J. W., Yang, H. and Cho, I. S.(2020), "A Study on the Pattern of Pilot's Maneuvering using K-means Clustering of Ship's Berthing Velocity". Journal of Coastal Disaster Prevention, Vol. 7, No. 4, pp. 221-232. https://doi.org/10.20481/kscdp.2020.7.4.221
  18. Lee, Y. S., Cho, I. S., Cho, J. H. and Song, C. U.(2008), "A Study on the Analysis of Ship Handling Simulation about Domestic Sea Bridge over the Harbor". Journal of Korean Navigation and Port Research, Vol. 32, No. 5, pp. 321-326. https://doi.org/10.5394/KINPR.2008.32.5.321
  19. Lee, Y. S., Park, Y. S., Lee, U., Jeong, C. H. and Park, J. S.(2009), "A study on the Proper Location and Scale of Bridges Crossing Navigable Waterways Considering the Safety of Marine Traffic". Journal of Korean Navigation and Port Research, Vol. 33, No. 5, pp. 295-301. https://doi.org/10.5394/KINPR.2009.33.5.295
  20. Ministry of Ocean and Fisheries(2021), The Fourth National Port Basic Plan. pp. 17-18.
  21. Park, K. H., Kim, H. S., Kim, Y. S. and Kim, C. S.(2004), "Planning & Design of KOHA Grand Bridge", Magazine and Journal of Korean Society of Steel Construction, Vol. 16, No. 1, pp. 71-82.
  22. Park, Y. S., Lee, Y. S., Park, J. S. Cho, I. S. and Lee, U.(2008), "A proposal of Bridge Design Guideline by Analysis of Marine Accident Parameters occurred at Bridge Crossing Navigable Waterways", Journal of Korean Navigation and Port Research, Vol. 32, No. 10, pp. 743-750. https://doi.org/10.5394/KINPR.2008.32.10.743
  23. Schwarz, G.(1978), "Estimating the dimension of a model". The annals of statistics, pp. 461-464.
  24. Son, W. J. and Cho, I. S.(2022). "Analysis of Trends in Mega-Sized Container Ships Using the K-Means Clustering Algorithm". Applied Sciences, Vol. 12, No. 4, p. 2115
  25. Son, W. J., Lee, H. T. and Cho, I. S.(2020a), "A study on the Standard of Ship Safety Distance on Bridge Crossing Navigable Waterways based on Traffic Distribution" Journal of Coastal Disaster Prevention. Vol. 7, No. 1, pp. 29-37. https://doi.org/10.20481/kscdp.2020.7.1.29
  26. Son, W. J., Lee, J. S., Lee, H. T. and Cho, I. S.(2020b), "An Investigation of the Ship Safety Distance for Bridges Across Waterways based on Traffic Distribution". Journal of Marine Science and Engineering, Vol. 8, No. 5, p. 331.
  27. Song, T. H. and Kim, Y. D.(2018), "A Study on the Marine Traffic Safety Audit Scheme through Case Analysis" Journal of Coastal Disaster Prevention. Vol. 5, No. 4, pp. 193-201. https://doi.org/10.20481/kscdp.2018.5.4.193
  28. Tsuji, K.(1996), "Methods of Survey for Marine Traffic" Japan Institute of Navigation, No. 129, pp. 8-18.
  29. Fujii, Y., Makishima, T., and Hara, K.(1981), Marine Traffic Engineering, Kaibundo, pp. 119-129.