Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments

Maritime emergency materials distribution is a key aspect of maritime emergency responses. To effectively deal with the challenges brought by the uncertainty of the maritime transport environment, the multi-agent joint decision-making location-routing problem of maritime emergency materials distribu...

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Main Authors: Cong Wang, Zhongxiu Peng, Wenqing Xu
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/19/4140
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author Cong Wang
Zhongxiu Peng
Wenqing Xu
author_facet Cong Wang
Zhongxiu Peng
Wenqing Xu
author_sort Cong Wang
collection DOAJ
description Maritime emergency materials distribution is a key aspect of maritime emergency responses. To effectively deal with the challenges brought by the uncertainty of the maritime transport environment, the multi-agent joint decision-making location-routing problem of maritime emergency materials distribution (MEMD-LRP) under an uncertain decision-making environment is studied. First, two robust bi-level optimization models of MEMD-LRP are constructed based on the effect of the uncertainty of the ship’s sailing time and demand of emergency materials at the accident point, respectively, on the premise of considering the rescue time window and priority of emergency materials distribution. Secondly, with the help of robust optimization theory and duality theory, the robust optimization models are transformed into robust equivalent models that are easy to solve. Finally, a hybrid algorithm based on the ant colony and tabu search (ACO-TS) algorithm solves multiple sets of numerical cases based on the case design of the Bohai Sea area, and analyzes the influence of uncertain parameters on the decision making of MEMD-LRP. The study of MEMD-LRP under uncertain decision-making environments using bi-level programming and robust optimization methods can help decision makers at different levels of the maritime emergency logistics system formulate emergency material reserve locations and emergency material distribution schemes that can effectively deal with the uncertainty in maritime emergencies.
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spelling doaj.art-cb62c7a87a6f4ae2b192851362b7713d2023-11-19T14:43:53ZengMDPI AGMathematics2227-73902023-09-011119414010.3390/math11194140Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making EnvironmentsCong Wang0Zhongxiu Peng1Wenqing Xu2School of Economics and Management, Southeast University, Nanjing 211189, ChinaSchool of Maritime Economics and Management, Dalian Maritime University, Dalian 116026, ChinaSchool of Maritime Economics and Management, Dalian Maritime University, Dalian 116026, ChinaMaritime emergency materials distribution is a key aspect of maritime emergency responses. To effectively deal with the challenges brought by the uncertainty of the maritime transport environment, the multi-agent joint decision-making location-routing problem of maritime emergency materials distribution (MEMD-LRP) under an uncertain decision-making environment is studied. First, two robust bi-level optimization models of MEMD-LRP are constructed based on the effect of the uncertainty of the ship’s sailing time and demand of emergency materials at the accident point, respectively, on the premise of considering the rescue time window and priority of emergency materials distribution. Secondly, with the help of robust optimization theory and duality theory, the robust optimization models are transformed into robust equivalent models that are easy to solve. Finally, a hybrid algorithm based on the ant colony and tabu search (ACO-TS) algorithm solves multiple sets of numerical cases based on the case design of the Bohai Sea area, and analyzes the influence of uncertain parameters on the decision making of MEMD-LRP. The study of MEMD-LRP under uncertain decision-making environments using bi-level programming and robust optimization methods can help decision makers at different levels of the maritime emergency logistics system formulate emergency material reserve locations and emergency material distribution schemes that can effectively deal with the uncertainty in maritime emergencies.https://www.mdpi.com/2227-7390/11/19/4140emergency logisticslocation-routing problembi-level programminguncertain decision-making environmentrobust optimization
spellingShingle Cong Wang
Zhongxiu Peng
Wenqing Xu
Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments
Mathematics
emergency logistics
location-routing problem
bi-level programming
uncertain decision-making environment
robust optimization
title Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments
title_full Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments
title_fullStr Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments
title_full_unstemmed Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments
title_short Robust Bi-Level Optimization for Maritime Emergency Materials Distribution in Uncertain Decision-Making Environments
title_sort robust bi level optimization for maritime emergency materials distribution in uncertain decision making environments
topic emergency logistics
location-routing problem
bi-level programming
uncertain decision-making environment
robust optimization
url https://www.mdpi.com/2227-7390/11/19/4140
work_keys_str_mv AT congwang robustbileveloptimizationformaritimeemergencymaterialsdistributioninuncertaindecisionmakingenvironments
AT zhongxiupeng robustbileveloptimizationformaritimeemergencymaterialsdistributioninuncertaindecisionmakingenvironments
AT wenqingxu robustbileveloptimizationformaritimeemergencymaterialsdistributioninuncertaindecisionmakingenvironments