Wei Wang, Haoqing Wang, King-Wah Pang, Lu Zhen, Shuaian Wang
{"title":"优化可持续航运的加油和航行策略:降低成本和碳排放的决策模型","authors":"Wei Wang, Haoqing Wang, King-Wah Pang, Lu Zhen, Shuaian Wang","doi":"10.1007/s10479-025-06650-4","DOIUrl":null,"url":null,"abstract":"<div><p>Bunkering costs constitute the largest portion of operational expenses in the shipping industry, directly influencing both economic efficiency and environmental impact. In line with Sustainable Development Goals (SDGs) 12 and 13, this study develops a decision model that jointly optimizes bunkering and sailing speed in liner shipping, with the aim of minimizing fuel costs and reducing carbon emissions. The model explicitly incorporates two often-overlooked aspects of the bunkering process: the requirement for empty tanks before refueling and the fuel inspection process. Due to the presence of infinite-dimensional and nonlinear terms, solving the model is computationally challenging. To address this complexity, we employ approximation algorithms and linearization techniques to transform the model into a mixed-integer linear programming (MILP) formulation. Additionally, we implement a Branch-and-Cut algorithm to enhance computational efficiency. Numerical experiments are conducted to evaluate the model’s performance, along with sensitivity analyses to assess the impact of key parameters. The results demonstrate that both the empty tank requirement and fuel inspection significantly influence bunkering decisions and sailing strategies, with the latter having a more pronounced effect. Moreover, our findings highlight the potential for sustainable fuel management practices to contribute to carbon reduction in maritime transportation. This study provides valuable insights for policymakers and industry stakeholders seeking to balance cost efficiency and environmental sustainability in shipping operations.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"351 3","pages":"2287 - 2305"},"PeriodicalIF":4.5000,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimizing bunkering and sailing strategies for sustainable shipping: a decision model for reducing costs and carbon emissions\",\"authors\":\"Wei Wang, Haoqing Wang, King-Wah Pang, Lu Zhen, Shuaian Wang\",\"doi\":\"10.1007/s10479-025-06650-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Bunkering costs constitute the largest portion of operational expenses in the shipping industry, directly influencing both economic efficiency and environmental impact. In line with Sustainable Development Goals (SDGs) 12 and 13, this study develops a decision model that jointly optimizes bunkering and sailing speed in liner shipping, with the aim of minimizing fuel costs and reducing carbon emissions. The model explicitly incorporates two often-overlooked aspects of the bunkering process: the requirement for empty tanks before refueling and the fuel inspection process. Due to the presence of infinite-dimensional and nonlinear terms, solving the model is computationally challenging. To address this complexity, we employ approximation algorithms and linearization techniques to transform the model into a mixed-integer linear programming (MILP) formulation. Additionally, we implement a Branch-and-Cut algorithm to enhance computational efficiency. Numerical experiments are conducted to evaluate the model’s performance, along with sensitivity analyses to assess the impact of key parameters. The results demonstrate that both the empty tank requirement and fuel inspection significantly influence bunkering decisions and sailing strategies, with the latter having a more pronounced effect. Moreover, our findings highlight the potential for sustainable fuel management practices to contribute to carbon reduction in maritime transportation. This study provides valuable insights for policymakers and industry stakeholders seeking to balance cost efficiency and environmental sustainability in shipping operations.</p></div>\",\"PeriodicalId\":8215,\"journal\":{\"name\":\"Annals of Operations Research\",\"volume\":\"351 3\",\"pages\":\"2287 - 2305\"},\"PeriodicalIF\":4.5000,\"publicationDate\":\"2025-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Operations Research\",\"FirstCategoryId\":\"91\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10479-025-06650-4\",\"RegionNum\":3,\"RegionCategory\":\"管理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"OPERATIONS RESEARCH & MANAGEMENT SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Operations Research","FirstCategoryId":"91","ListUrlMain":"https://link.springer.com/article/10.1007/s10479-025-06650-4","RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
Optimizing bunkering and sailing strategies for sustainable shipping: a decision model for reducing costs and carbon emissions
Bunkering costs constitute the largest portion of operational expenses in the shipping industry, directly influencing both economic efficiency and environmental impact. In line with Sustainable Development Goals (SDGs) 12 and 13, this study develops a decision model that jointly optimizes bunkering and sailing speed in liner shipping, with the aim of minimizing fuel costs and reducing carbon emissions. The model explicitly incorporates two often-overlooked aspects of the bunkering process: the requirement for empty tanks before refueling and the fuel inspection process. Due to the presence of infinite-dimensional and nonlinear terms, solving the model is computationally challenging. To address this complexity, we employ approximation algorithms and linearization techniques to transform the model into a mixed-integer linear programming (MILP) formulation. Additionally, we implement a Branch-and-Cut algorithm to enhance computational efficiency. Numerical experiments are conducted to evaluate the model’s performance, along with sensitivity analyses to assess the impact of key parameters. The results demonstrate that both the empty tank requirement and fuel inspection significantly influence bunkering decisions and sailing strategies, with the latter having a more pronounced effect. Moreover, our findings highlight the potential for sustainable fuel management practices to contribute to carbon reduction in maritime transportation. This study provides valuable insights for policymakers and industry stakeholders seeking to balance cost efficiency and environmental sustainability in shipping operations.
期刊介绍:
The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications.
In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.