Connectivity Reliability of Nodes in the Maritime Transportation Network of Crude Oil Based on Vine Copulas

Abstract

Abstract:

To evaluate the connectivity reliability of key nodes under the effect of correlative extreme events in the maritime transportation network of crude oil, the vine copula is proposed to construct the joint probability distribution, and the connectivity reliability is evaluated based on the joint and conditional probability distribution. Finally, the Strait of Malacca is illustrated as a case study. The results show that there is a symmetric tail dependence between the political instability or military conflict and the pirates and maritime terrorism. While there is a lower tail dependence between the pirates and maritime terrorism, the vessel accidents and the heavy weather, respectively. Besides, under the effect of political instability or military conflict, heavy weather and pirates and maritime terrorism, the connectivity reliability of the Strait of Malacca is low, which is only 0.239 5. While under the effect of political instability or military conflict, heavy weather and vessel accidents, the connectivity reliability is relatively high.

Key words: waterway transportation, connectivity reliability, vine copula, key nodes, maritime transportation network of crude oil

摘要：

为评价各突发事件相互关联时的原油海运网络中关键节点的连通可靠性，引入vine copula构建各突发事件的联合分布，并基于各突发事件的联合分布和条件分布进行节点连通可靠性评估.以马六甲海峡为例进行案例分析，结果表明：节点隶属国家政局不稳定及军事冲突与海盗及海上恐怖主义间具有对称的尾部相关性，而海盗及海上恐怖主义和船舶交通事故分别与恶劣天气具有下尾相关性.此外，在节点隶属国家政局不稳定及军事冲突、恶劣天气和海盗及海上恐怖主义的作用下，马六甲海峡的连通可靠性较低，仅为0.239 5；而在节点隶属国家政局不稳定及军事冲突、恶劣天气和船舶交通事故的作用下，马六甲海峡的连通可靠性相对较高.

关键词: 水路运输, 连通可靠性, vine copula, 关键节点, 原油海运网络

CLC Number:

U698

WANG Shuang, LV Jing, LAI Cheng-shou. Connectivity Reliability of Nodes in the Maritime Transportation Network of Crude Oil Based on Vine Copulas[J]. Journal of Transportation Systems Engineering and Information Technology, 2018, 18(4): 32-37.

王爽，吕靖，赖成寿. 基于Vine Copula的原油海运网络中节点连通可靠性研究[J]. 交通运输系统工程与信息, 2018, 18(4): 32-37.

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URL: http://www.tseit.org.cn/EN/abstract/abstract19657.shtml

http://www.tseit.org.cn/EN/Y2018/V18/I4/32

References

[1] MINE H, KAWAI H. Mathematics for reliability analysis [M]. Tokyo: Asakura-shoten, 1982.

[2] IIDA Y, WAKABAYASHI H. An approximation method of terminal reliability of a road network using partial minimal path and cut set [A]. Proceedings of the Fifth WCTR[C]. Japan: Yokohama, 1989: 367-380.

[3] YOUNGSUK K, KANG W H. Network reliability analysis of complex systems using a non- simulationbased method[J]. Reliability Engineering and System Safety, 2013(110): 80-88.

[4] WAKABAYASHI H, IIDA Y. Upper and lower bounds of terminal reliability of road networks: an efficient method with Boolean algebra[J]. Journal of Natural Disaster Science, 1992(14): 29-44.

[5] SKLAR A. Fonctions de répartition à n dimensions et leurs marges[J]. Publications de l’Institut de Statistique de L’Université de Paris, 1959(8): 229-231.

[6] FAN Y R, HUANG W W, HUANG G H, et al. Hydrologic risk analysis in the Yangtze River basin through coupling Gaussian mixtures into copulas[J]. Advances in Water Resources, 2016(88): 170-185.

[7] SHAMS S, HAGHIGHI F K. A copula-GARCH model of conditional dependencies: Estimating Tehran market stock exchange value-at risk[J]. Journal of Statistical & Econometric Methods, 2013, 2(2): 39-50.

[8] JOE H. Families of m-variate distributions with given margins and m(m-1) / 2 bivariate dependence parameters[J]. Lecture Notes-Monograph Series, 1996 (28): 120-141.

[9] BEDFORD T, COOKE R M. Probability density decomposition for conditionally dependent random variables modeled by vines[J]. Annals of Mathematics & Artificial Intelligence, 2001, 32(1-4): 245-268.

[10] AAS K, CZADO C, FRIGESSI A, et al. Pair copula constructions of multiple dependence[J]. Insurance: Mathematics and Economics, 2009(44): 182-198.

[11] AAS K. Pair-Copula constructions for financial applications: A review[J]. Econometrics, 2016, 4(4): 43.

[12] BEVACQUA E, MARAUN D, HOBÆK HAFF I, et al. Multivariate statistical modelling of compound events via pair-copula constructions: Analysis of floods in Ravenna[J]. Hydrology and Earth System Sciences, 2017 (21): 2701-2723.

[13] MONTES-ITURRIZAGA R, HEREDIA-ZAVONI E. Environmental contours using copulas[J]. Applied Ocean Research, 2015(52): 125-139.

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