Proceedings of the
European Safety and Reliability Conference (ESREL2026)
14 – 19 June 2026, Braga, Portugal

Maritime Traffic Risk Monitoring Using Time-Extended Stochastic Petri Nets: A Case Study on Collision Prevention for LNG-Fueled Vessels

Yan Chen

Merchant Marine College, Shanghai Maritime University, China.

chenyan0006@stu.shmtu.edu.cn

Shenping Hu

Merchant Marine College, Shanghai Maritime University, China.

sphu@shmtu.edu.cn

Cunlong Fan

College of Transport & Communications, Shanghai Maritime University, China.

clfan@shmtu.edu.cn

Chun Zou

School of Navigation, Wuhan University of Technology, China.

18053545594@163.com

Lingling Liu

Vocational College, Shanghai Jian Qiao University, China.

linglingliu0721@aliyun.com

ABSTRACT

Modern maritime transportation systems face complex, dynamic risks. Traditional static models often fail to capture the path-dependent nature of risk evolution. This paper proposes a Path-Dependent Stochastic Petri Net (PD-SPN) framework. We integrate Systems Theoretic Process Analysis (STPA) with a Time-extended Stochastic Petri Net (TSPN). A key innovation is the path dependence coefficient (α), which dynamically adjusts transition rates based on operational history. This allows the model to overcome the memoryless assumption of Markov chains. A case study on LNG-fueled vessel collision risk demonstrates a 97.2 % prognostic accuracy. Importantly, it reveals that high-risk vessels evolve toward critical states 1.8 times faster than low-risk ones. The PD-SPN model provides a proactive, data-driven tool for dynamic safety assessment in complex maritime systems.

Keywords: Path-Dependent Risk Prognostics; Stochastic Petri Net (SPN); Systems Theoretic Process Analysis (STPA); Maritime Transportation Safety; Dynamic Risk Assessment; Path Dependence; Complex System Safety; Continuous-Time Markov Chain.



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