A Hybrid Approach to the Optimization of Multiechelon Systems
In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting from a depot, bring their freight directly to the destination, while in the multiechelon systems, freight is delivered from the depot to the...
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| Published in: | Mathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 12 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Cairo, Egypt
Hindawi Publishing Corporation
01.01.2015
John Wiley & Sons, Inc |
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| ISSN: | 1024-123X, 1563-5147 |
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| Abstract | In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting from a depot, bring their freight directly to the destination, while in the multiechelon systems, freight is delivered from the depot to the customers through an intermediate points. Multiechelon systems are particularly useful for logistic issues in a competitive environment. The paper presents a concept and application of a hybrid approach to modeling and optimization of the Multi-Echelon Capacitated Vehicle Routing Problem. Two ways of mathematical programming (MP) and constraint logic programming (CLP) are integrated in one environment. The strengths of MP and CLP in which constraints are treated in a different way and different methods are implemented and combined to use the strengths of both. The proposed approach is particularly important for the discrete decision models with an objective function and many discrete decision variables added up in multiple constraints. An implementation of hybrid approach in the ECLiPSe system using Eplex library is presented. The Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) and its variants are shown as an illustrative example of the hybrid approach. The presented hybrid approach will be compared with classical mathematical programming on the same benchmark data sets. |
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| AbstractList | In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting from a depot, bring their freight directly to the destination, while in the multiechelon systems, freight is delivered from the depot to the customers through an intermediate points. Multiechelon systems are particularly useful for logistic issues in a competitive environment. The paper presents a concept and application of a hybrid approach to modeling and optimization of the Multi-Echelon Capacitated Vehicle Routing Problem. Two ways of mathematical programming (MP) and constraint logic programming (CLP) are integrated in one environment. The strengths of MP and CLP in which constraints are treated in a different way and different methods are implemented and combined to use the strengths of both. The proposed approach is particularly important for the discrete decision models with an objective function and many discrete decision variables added up in multiple constraints. An implementation of hybrid approach in the EC[superscript]Li[/superscript] P[superscript]Se[/superscript] system using Eplex library is presented. The Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) and its variants are shown as an illustrative example of the hybrid approach. The presented hybrid approach will be compared with classical mathematical programming on the same benchmark data sets. In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting from a depot, bring their freight directly to the destination, while in the multiechelon systems, freight is delivered from the depot to the customers through an intermediate points. Multiechelon systems are particularly useful for logistic issues in a competitive environment. The paper presents a concept and application of a hybrid approach to modeling and optimization of the Multi-Echelon Capacitated Vehicle Routing Problem. Two ways of mathematical programming (MP) and constraint logic programming (CLP) are integrated in one environment. The strengths of MP and CLP in which constraints are treated in a different way and different methods are implemented and combined to use the strengths of both. The proposed approach is particularly important for the discrete decision models with an objective function and many discrete decision variables added up in multiple constraints. An implementation of hybrid approach in the ECLiPSe system using Eplex library is presented. The Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) and its variants are shown as an illustrative example of the hybrid approach. The presented hybrid approach will be compared with classical mathematical programming on the same benchmark data sets. In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting from a depot, bring their freight directly to the destination, while in the multiechelon systems, freight is delivered from the depot to the customers through an intermediate points. Multiechelon systems are particularly useful for logistic issues in a competitive environment. The paper presents a concept and application of a hybrid approach to modeling and optimization of the Multi-Echelon Capacitated Vehicle Routing Problem. Two ways of mathematical programming (MP) and constraint logic programming (CLP) are integrated in one environment. The strengths of MP and CLP in which constraints are treated in a different way and different methods are implemented and combined to use the strengths of both. The proposed approach is particularly important for the discrete decision models with an objective function and many discrete decision variables added up in multiple constraints. An implementation of hybrid approach in the E C L i P S e system using Eplex library is presented. The Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) and its variants are shown as an illustrative example of the hybrid approach. The presented hybrid approach will be compared with classical mathematical programming on the same benchmark data sets. In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting from a depot, bring their freight directly to the destination, while in the multiechelon systems, freight is delivered from the depot to the customers through an intermediate points. Multiechelon systems are particularly useful for logistic issues in a competitive environment. The paper presents a concept and application of a hybrid approach to modeling and optimization of the Multi-Echelon Capacitated Vehicle Routing Problem. Two ways of mathematical programming (MP) and constraint logic programming (CLP) are integrated in one environment. The strengths of MP and CLP in which constraints are treated in a different way and different methods are implemented and combined to use the strengths of both. The proposed approach is particularly important for the discrete decision models with an objective function and many discrete decision variables added up in multiple constraints. An implementation of hybrid approach in the EC super(Li) P super(Se) system using Eplex library is presented. The Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) and its variants are shown as an illustrative example of the hybrid approach. The presented hybrid approach will be compared with classical mathematical programming on the same benchmark data sets. |
| Author | Wikarek, Jarosław Sitek, Paweł |
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| Cites_doi | 10.1007/s10479-009-0654-9 10.1007/s10845-013-0729-y 10.1007/s00170-013-4760-0 10.4236/iim.2012.43010 10.1016/j.trc.2004.07.002 10.1287/trsc.1110.0368 10.1016/j.compchemeng.2004.03.016 10.1016/0925-5273(94)00097-T 10.1007/978-3-540-68155-7_4 10.1287/ijoc.13.4.258.9733 |
| ContentType | Journal Article |
| Copyright | Copyright © 2015 Paweł Sitek and Jarosław Wikarek. Copyright © 2015 Pawel Sitek and Jaroslaw Wikarek. Pawel Sitek et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| DOI | 10.1155/2015/925675 |
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| References | Apt K. Wallace M. Constraint Logic Programming Using Eclipse 2006 Cambridge University Press (9) 2013; 67 Sitek P. Wikarek J. Cost optimization of supply chain with multimodal transport Proceedings of the Federated Conference on Computer Science and Information Systems (FedCSIS '12) September 2012 1111 1118 2-s2.0-84872507563 ORO Group Web-page, http://www.orgroup.polito.it Sitek P. Wikarek J. Nguyen N. T. Borzemski L. Grzech A. Ali M. A declarative framework for constrained search problems New Frontiers in Applied Artificial Intelligence 2008 5027 Berlin, Germany Springer 728 737 Lecture Notes in Artificial Intelligence (7) 2011; 45 (1) 1995; 38 (8) 2004; 12 (17) 1996; 20 Ligeza A. Improving efficiency in constraint logic programming through constraint modeling with rules and hypergraphs Federated Conference on Computer Science and Information Systems (FedCSIS '12) 2012 101 107 Sitek P. Wikarek J. A hybrid approach to modeling and optimization for supply chain management with multimodal transport Proceedings of the 18th International Conference on Methods and Models in Automation and Robotics (MMAR '13) August 2013 777 782 2-s2.0-84893496233 (11) 2004; 33 (13) 2001; 13 Grzybowska K. Golinska P. Romano C. A. Supply chain sustainability—analysing the enablers Environmental Issues in Supply Chain Management—New Trends and Applications 2012 Berlin, Germany Springer 25 40 Achterberg T. Berthold T. Koch T. Wolter K. Constraint integer programming: a new approach to integrate CP and MIP Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems 2008 5015 6 20 Lecture Notes in Computer Science 10.1007/978-3-540-68155-7_4 (6) 2012; 4 (14) 2010; 175 (20) 2013 Schrijver A. Theory of Linear and Integer Programming 1998 New York, NY, USA John Wiley & Sons (16) 2004; 28 12 13 14 15 19 (11) 2006 1 (16) 1996; 20 3 (8) 2008; 5027 4 5 (7) 2004; 33 (18) 2012 20 (2) 1998 |
| References_xml | – reference: Schrijver A. Theory of Linear and Integer Programming 1998 New York, NY, USA John Wiley & Sons – reference: Sitek P. Wikarek J. Nguyen N. T. Borzemski L. Grzech A. Ali M. A declarative framework for constrained search problems New Frontiers in Applied Artificial Intelligence 2008 5027 Berlin, Germany Springer 728 737 Lecture Notes in Artificial Intelligence – reference: Sitek P. Wikarek J. A hybrid approach to modeling and optimization for supply chain management with multimodal transport Proceedings of the 18th International Conference on Methods and Models in Automation and Robotics (MMAR '13) August 2013 777 782 2-s2.0-84893496233 – reference: Achterberg T. Berthold T. Koch T. Wolter K. Constraint integer programming: a new approach to integrate CP and MIP Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems 2008 5015 6 20 Lecture Notes in Computer Science 10.1007/978-3-540-68155-7_4 – volume: 4 start-page: 66 year: 2012 end-page: 74 ident: 6 article-title: Survey on the vehicle routing problem and its variants – year: 2013 ident: 20 article-title: Scheduling a single mobile robot for part-feeding tasks of production lines – volume: 33 start-page: 341 issue: 2 year: 2004 end-page: 355 ident: 11 article-title: Cost-efficient synthesis of multiprocessor heterogeneous systems – volume: 175 start-page: 37 year: 2010 end-page: 76 ident: 14 article-title: Integrating operations research in constraint programming – reference: Ligeza A. Improving efficiency in constraint logic programming through constraint modeling with rules and hypergraphs Federated Conference on Computer Science and Information Systems (FedCSIS '12) 2012 101 107 – volume: 28 start-page: 1921 issue: 10 year: 2004 end-page: 1949 ident: 16 article-title: A hybrid MILP/CP decomposition approach for the continuous time scheduling of multipurpose batch plants – reference: Apt K. Wallace M. Constraint Logic Programming Using Eclipse 2006 Cambridge University Press – reference: Grzybowska K. Golinska P. Romano C. A. Supply chain sustainability—analysing the enablers Environmental Issues in Supply Chain Management—New Trends and Applications 2012 Berlin, Germany Springer 25 40 – reference: Sitek P. Wikarek J. Cost optimization of supply chain with multimodal transport Proceedings of the Federated Conference on Computer Science and Information Systems (FedCSIS '12) September 2012 1111 1118 2-s2.0-84872507563 – volume: 12 start-page: 119 issue: 2 year: 2004 end-page: 137 ident: 8 article-title: Advanced freight transportation systems for congested urban areas – volume: 38 start-page: 225 issue: 2-3 year: 1995 end-page: 243 ident: 1 article-title: Distribution planning for a divergent N-echelon network without intermediate stocks under service restrictions – reference: ORO Group Web-page, http://www.orgroup.polito.it/ – volume: 13 start-page: 258 issue: 4 year: 2001 end-page: 276 ident: 13 article-title: Algorithms for hybrid MILP/CP models for a class of optimization problems – volume: 45 start-page: 364 issue: 3 year: 2011 end-page: 380 ident: 7 article-title: The two-echelon capacitated vehicle routing problem: models and math-based heuristics – volume: 67 start-page: 137 issue: 1–4 year: 2013 end-page: 155 ident: 9 article-title: Declarative approach to cyclic steady state space refinement: periodic process scheduling – volume: 20 start-page: 309 year: 1996 end-page: 318 ident: 17 article-title: An algorithm for the vehicle dispatching problem – ident: 14 doi: 10.1007/s10479-009-0654-9 – ident: 20 doi: 10.1007/s10845-013-0729-y – year: 2006 ident: 11 – ident: 5 doi: 10.1007/s00170-013-4760-0 – year: 1998 ident: 2 – ident: 3 doi: 10.4236/iim.2012.43010 – ident: 12 doi: 10.1016/j.trc.2004.07.002 – volume: 20 start-page: 309 year: 1996 ident: 16 publication-title: Operational Research Quarterly – volume: 5027 start-page: 728 volume-title: A declarative framework for constrained search problems year: 2008 ident: 8 – start-page: 25 volume-title: Supply chain sustainability—analysing the enablers year: 2012 ident: 18 – ident: 4 doi: 10.1287/trsc.1110.0368 – ident: 19 doi: 10.1016/j.compchemeng.2004.03.016 – ident: 1 doi: 10.1016/0925-5273(94)00097-T – volume: 33 start-page: 341 issue: 2 year: 2004 ident: 7 publication-title: Control and Cybernetics – ident: 15 doi: 10.1007/978-3-540-68155-7_4 – ident: 13 doi: 10.1287/ijoc.13.4.258.9733 |
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| Snippet | In freight transportation there are two main distribution strategies: direct shipping and multiechelon distribution. In the direct shipping, vehicles, starting... |
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| SubjectTerms | Constraints Environment models Freight transportation Hybrid systems Integer programming Linear programming Logic programming Mathematical models Mathematical programming Optimization Route planning Routing Shipping Strategy Strength Supply chains Vehicle routing Vehicles |
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