A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning

In order to solve the problem of ship route planning at sea, we reduce the economic cost of ship navigation planning and improve the efficiency of ship navigation. As a result, the goal of this work is to delve into the mathematical modeling and the best algorithm for marine ship route planning. To...

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Main Author: Lili Huang
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/5671089
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author Lili Huang
author_facet Lili Huang
author_sort Lili Huang
collection DOAJ
description In order to solve the problem of ship route planning at sea, we reduce the economic cost of ship navigation planning and improve the efficiency of ship navigation. As a result, the goal of this work is to delve into the mathematical modeling and the best algorithm for marine ship route planning. To begin, a mathematical model of ship route planning is created, taking into account the impact of nonuniformity in the offshore wind field on ship route planning, with the shortest ship sailing time as the goal. Based on the mathematical model, the ant colony algorithm is used to optimize the initial route of the ship. Finally, through the optimization of the ant colony algorithm, the optimal route with the shortest total length and the smaller steering angle is obtained, and the optimal ship navigation planning scheme is obtained. The simulation results show that, when compared to artificial intelligence and genetic algorithms, the optimization algorithm suggested in this research produces the best ship route planning outcomes and has the lowest economic cost, which may effectively increase the efficiency of ship route work.
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spelling doaj-art-002f0f0eb9a74396b82177487ca1d3ba2025-02-03T06:42:45ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/5671089A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route PlanningLili Huang0Zhengzhou Tourism CollegeIn order to solve the problem of ship route planning at sea, we reduce the economic cost of ship navigation planning and improve the efficiency of ship navigation. As a result, the goal of this work is to delve into the mathematical modeling and the best algorithm for marine ship route planning. To begin, a mathematical model of ship route planning is created, taking into account the impact of nonuniformity in the offshore wind field on ship route planning, with the shortest ship sailing time as the goal. Based on the mathematical model, the ant colony algorithm is used to optimize the initial route of the ship. Finally, through the optimization of the ant colony algorithm, the optimal route with the shortest total length and the smaller steering angle is obtained, and the optimal ship navigation planning scheme is obtained. The simulation results show that, when compared to artificial intelligence and genetic algorithms, the optimization algorithm suggested in this research produces the best ship route planning outcomes and has the lowest economic cost, which may effectively increase the efficiency of ship route work.http://dx.doi.org/10.1155/2023/5671089
spellingShingle Lili Huang
A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning
Journal of Mathematics
title A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning
title_full A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning
title_fullStr A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning
title_full_unstemmed A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning
title_short A Mathematical Modeling and an Optimization Algorithm for Marine Ship Route Planning
title_sort mathematical modeling and an optimization algorithm for marine ship route planning
url http://dx.doi.org/10.1155/2023/5671089
work_keys_str_mv AT lilihuang amathematicalmodelingandanoptimizationalgorithmformarineshiprouteplanning
AT lilihuang mathematicalmodelingandanoptimizationalgorithmformarineshiprouteplanning