Bi-Objective Modelling for Hazardous Materials Road–Rail Multimodal Routing Problem with Railway Schedule-Based Space–Time Constraints
The transportation of hazardous materials is always accompanied by considerable risk that will impact public and environment security. As an efficient and reliable transportation organization, a multimodal service should participate in the transportation of hazardous materials. In this study, we foc...
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| Published in: | International journal of environmental research and public health Vol. 13; no. 8; pp. 762 - 1 |
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| Abstract | The transportation of hazardous materials is always accompanied by considerable risk that will impact public and environment security. As an efficient and reliable transportation organization, a multimodal service should participate in the transportation of hazardous materials. In this study, we focus on transporting hazardous materials through the multimodal service network and explore the hazardous materials multimodal routing problem from the operational level of network planning. To formulate this problem more practicably, minimizing the total generalized costs of transporting the hazardous materials and the social risk along the planned routes are set as the optimization objectives. Meanwhile, the following formulation characteristics will be comprehensively modelled: (1) specific customer demands; (2) multiple hazardous material flows; (3) capacitated schedule-based rail service and uncapacitated time-flexible road service; and (4) environmental risk constraint. A bi-objective mixed integer nonlinear programming model is first built to formulate the routing problem that combines the formulation characteristics above. Then linear reformations are developed to linearize and improve the initial model so that it can be effectively solved by exact solution algorithms on standard mathematical programming software. By utilizing the normalized weighted sum method, we can generate the Pareto solutions to the bi-objective optimization problem for a specific case. Finally, a large-scale empirical case study from the Beijing–Tianjin–Hebei Region in China is presented to demonstrate the feasibility of the proposed methods in dealing with the practical problem. Various scenarios are also discussed in the case study. |
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| AbstractList | The transportation of hazardous materials is always accompanied by considerable risk that will impact public and environment security. As an efficient and reliable transportation organization, a multimodal service should participate in the transportation of hazardous materials. In this study, we focus on transporting hazardous materials through the multimodal service network and explore the hazardous materials multimodal routing problem from the operational level of network planning. To formulate this problem more practicably, minimizing the total generalized costs of transporting the hazardous materials and the social risk along the planned routes are set as the optimization objectives. Meanwhile, the following formulation characteristics will be comprehensively modelled: (1) specific customer demands; (2) multiple hazardous material flows; (3) capacitated schedule-based rail service and uncapacitated time-flexible road service; and (4) environmental risk constraint. A bi-objective mixed integer nonlinear programming model is first built to formulate the routing problem that combines the formulation characteristics above. Then linear reformations are developed to linearize and improve the initial model so that it can be effectively solved by exact solution algorithms on standard mathematical programming software. By utilizing the normalized weighted sum method, we can generate the Pareto solutions to the bi-objective optimization problem for a specific case. Finally, a large-scale empirical case study from the Beijing-Tianjin-Hebei Region in China is presented to demonstrate the feasibility of the proposed methods in dealing with the practical problem. Various scenarios are also discussed in the case study. The transportation of hazardous materials is always accompanied by considerable risk that will impact public and environment security. As an efficient and reliable transportation organization, a multimodal service should participate in the transportation of hazardous materials. In this study, we focus on transporting hazardous materials through the multimodal service network and explore the hazardous materials multimodal routing problem from the operational level of network planning. To formulate this problem more practicably, minimizing the total generalized costs of transporting the hazardous materials and the social risk along the planned routes are set as the optimization objectives. Meanwhile, the following formulation characteristics will be comprehensively modelled: (1) specific customer demands; (2) multiple hazardous material flows; (3) capacitated schedule-based rail service and uncapacitated time-flexible road service; and (4) environmental risk constraint. A bi-objective mixed integer nonlinear programming model is first built to formulate the routing problem that combines the formulation characteristics above. Then linear reformations are developed to linearize and improve the initial model so that it can be effectively solved by exact solution algorithms on standard mathematical programming software. By utilizing the normalized weighted sum method, we can generate the Pareto solutions to the bi-objective optimization problem for a specific case. Finally, a large-scale empirical case study from the Beijing-Tianjin-Hebei Region in China is presented to demonstrate the feasibility of the proposed methods in dealing with the practical problem. Various scenarios are also discussed in the case study.The transportation of hazardous materials is always accompanied by considerable risk that will impact public and environment security. As an efficient and reliable transportation organization, a multimodal service should participate in the transportation of hazardous materials. In this study, we focus on transporting hazardous materials through the multimodal service network and explore the hazardous materials multimodal routing problem from the operational level of network planning. To formulate this problem more practicably, minimizing the total generalized costs of transporting the hazardous materials and the social risk along the planned routes are set as the optimization objectives. Meanwhile, the following formulation characteristics will be comprehensively modelled: (1) specific customer demands; (2) multiple hazardous material flows; (3) capacitated schedule-based rail service and uncapacitated time-flexible road service; and (4) environmental risk constraint. A bi-objective mixed integer nonlinear programming model is first built to formulate the routing problem that combines the formulation characteristics above. Then linear reformations are developed to linearize and improve the initial model so that it can be effectively solved by exact solution algorithms on standard mathematical programming software. By utilizing the normalized weighted sum method, we can generate the Pareto solutions to the bi-objective optimization problem for a specific case. Finally, a large-scale empirical case study from the Beijing-Tianjin-Hebei Region in China is presented to demonstrate the feasibility of the proposed methods in dealing with the practical problem. Various scenarios are also discussed in the case study. |
| Author | Lang, Maoxiang Wang, Danzhu Sun, Yan |
| AuthorAffiliation | 3 Transportation and Economics Research Institute, China Academy of Railway Sciences, Beijing 100081, China; wangdanzhu@rails.cn 2 Ministry of Education Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China 1 School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China; sunyanbjtu@163.com |
| AuthorAffiliation_xml | – name: 3 Transportation and Economics Research Institute, China Academy of Railway Sciences, Beijing 100081, China; wangdanzhu@rails.cn – name: 1 School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China; sunyanbjtu@163.com – name: 2 Ministry of Education Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China |
| Author_xml | – sequence: 1 givenname: Yan orcidid: 0000-0002-4704-5578 surname: Sun fullname: Sun, Yan – sequence: 2 givenname: Maoxiang surname: Lang fullname: Lang, Maoxiang – sequence: 3 givenname: Danzhu surname: Wang fullname: Wang, Danzhu |
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| Cites_doi | 10.1016/S0927-0507(06)14009-8 10.1016/j.cor.2005.06.009 10.1016/j.cor.2014.10.016 10.1016/j.tre.2011.06.001 10.1016/j.jlp.2004.08.010 10.1287/trsc.1030.0065 10.1016/j.sbspro.2014.07.262 10.1016/j.ejor.2009.06.005 10.2174/1874149501509010714 10.1287/trsc.25.2.100 10.1016/j.trc.2009.12.002 10.1016/j.ejor.2012.11.019 10.1287/trsc.31.3.216 10.1016/j.cor.2005.06.012 10.1287/mnsc.1070.0763 10.1016/j.trd.2003.09.002 10.1016/j.jlp.2005.05.011 10.1155/2015/406218 10.1016/j.cor.2005.06.007 10.1016/j.tre.2016.02.002 10.1155/2013/435272 10.1016/j.jhazmat.2012.05.028 10.1016/j.cor.2006.10.022 10.1016/j.cor.2005.06.013 10.1016/S0377-2217(97)00188-4 |
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| Keywords | bi-objective optimization multimodal routing hazardous materials linear reformulation risk evaluation |
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| SubjectTerms | Algorithms China Environmental Monitoring Environmental Pollution - prevention & control Hazardous materials Hazardous Substances - analysis Humans Models, Theoretical Railroads Refuse Disposal - methods Risk Factors Spatio-Temporal Analysis Transportation - economics Transportation - methods Transportation - standards Waste Management - methods |
| Title | Bi-Objective Modelling for Hazardous Materials Road–Rail Multimodal Routing Problem with Railway Schedule-Based Space–Time Constraints |
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