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Title: Optimal routing and scheduling of flag state control officers in maritime transportation
Authors: Qiao, X
Yang, Y 
Guo, Y 
Jin, Y 
Wang, S 
Issue Date: Jun-2024
Source: Mathematics, June 2024, v. 12, no. 11, 1647
Abstract: Maritime transportation plays a pivotal role in the global merchandise trade. To improve maritime safety and protect the environment, every state must effectively control ships flying its flag, which is called flag state control (FSC). However, the existing FSC system is so inefficient that it cannot perform its intended function. In this study, we adopt an optimization method to tackle this problem by constructing an integer programming (IP) model to solve the FSC officer routing and scheduling problem, which aims to maximize the total weight of inspected ships with limited budget and human resources. Then we prove that the IP model can be reformulated into a partially relaxed IP model with the guarantee of the result optimality. Finally, we perform a case study using the Hong Kong port as an example. The results show that our model can be solved to optimality within one second at different scales of the problem, with the ship number ranging from 20 to 1000. Furthermore, our study can be extended by considering the arrangement of working timetables with finer granularity and the fatigue level of personnel.
Keywords: Flag state control
Maritime transportation
Mathematical modeling
Routing and scheduling problem
Ship inspection
Publisher: MDPI AG
Journal: Mathematics 
EISSN: 2227-7390
DOI: 10.3390/math12111647
Rights: © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
The following publication Qiao X, Yang Y, Guo Y, Jin Y, Wang S. Optimal Routing and Scheduling of Flag State Control Officers in Maritime Transportation. Mathematics. 2024; 12(11):1647 is available at https://doi.org/10.3390/math12111647.
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