Train Repathing in Emergencies Based on Fuzzy Linear Programming
Train pathing is a typical problem which is to assign the train trips on the sets of rail segments, such as rail tracks and links. This paper focuses on the train pathing problem, determining the paths of the train trips in emergencies. We analyze the influencing factors of train pathing, such as tr...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/598968 |
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| author | Xuelei Meng Bingmou Cui |
| author_facet | Xuelei Meng Bingmou Cui |
| author_sort | Xuelei Meng |
| collection | DOAJ |
| description | Train pathing is a typical problem which is to assign the train trips on the sets of rail segments, such as rail tracks and links. This paper focuses on the train pathing problem, determining the paths of the train trips in emergencies. We analyze the influencing factors of train pathing, such as transferring cost, running cost, and social adverse effect cost. With the overall consideration of the segment and station capability constraints, we build the fuzzy linear programming model to solve the train pathing problem. We design the fuzzy membership function to describe the fuzzy coefficients. Furthermore, the contraction-expansion factors are introduced to contract or expand the value ranges of the fuzzy coefficients, coping with the uncertainty of the value range of the fuzzy coefficients. We propose a method based on triangular fuzzy coefficient and transfer the train pathing (fuzzy linear programming model) to a determinate linear model to solve the fuzzy linear programming problem. An emergency is supposed based on the real data of the Beijing-Shanghai Railway. The model in this paper was solved and the computation results prove the availability of the model and efficiency of the algorithm. |
| format | Article |
| id | doaj-art-7c8ad0ee23c3427f8f4ec322cc73d1d6 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-7c8ad0ee23c3427f8f4ec322cc73d1d62025-02-03T01:27:37ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/598968598968Train Repathing in Emergencies Based on Fuzzy Linear ProgrammingXuelei Meng0Bingmou Cui1School of Traffic and Transportation, Lanzhou Jiaotong University, P.O. Box 405, Anning West Road, Anning District, Lanzhou, Gansu 730070, ChinaSchool of Traffic and Transportation, Lanzhou Jiaotong University, P.O. Box 405, Anning West Road, Anning District, Lanzhou, Gansu 730070, ChinaTrain pathing is a typical problem which is to assign the train trips on the sets of rail segments, such as rail tracks and links. This paper focuses on the train pathing problem, determining the paths of the train trips in emergencies. We analyze the influencing factors of train pathing, such as transferring cost, running cost, and social adverse effect cost. With the overall consideration of the segment and station capability constraints, we build the fuzzy linear programming model to solve the train pathing problem. We design the fuzzy membership function to describe the fuzzy coefficients. Furthermore, the contraction-expansion factors are introduced to contract or expand the value ranges of the fuzzy coefficients, coping with the uncertainty of the value range of the fuzzy coefficients. We propose a method based on triangular fuzzy coefficient and transfer the train pathing (fuzzy linear programming model) to a determinate linear model to solve the fuzzy linear programming problem. An emergency is supposed based on the real data of the Beijing-Shanghai Railway. The model in this paper was solved and the computation results prove the availability of the model and efficiency of the algorithm.http://dx.doi.org/10.1155/2014/598968 |
| spellingShingle | Xuelei Meng Bingmou Cui Train Repathing in Emergencies Based on Fuzzy Linear Programming The Scientific World Journal |
| title | Train Repathing in Emergencies Based on Fuzzy Linear Programming |
| title_full | Train Repathing in Emergencies Based on Fuzzy Linear Programming |
| title_fullStr | Train Repathing in Emergencies Based on Fuzzy Linear Programming |
| title_full_unstemmed | Train Repathing in Emergencies Based on Fuzzy Linear Programming |
| title_short | Train Repathing in Emergencies Based on Fuzzy Linear Programming |
| title_sort | train repathing in emergencies based on fuzzy linear programming |
| url | http://dx.doi.org/10.1155/2014/598968 |
| work_keys_str_mv | AT xueleimeng trainrepathinginemergenciesbasedonfuzzylinearprogramming AT bingmoucui trainrepathinginemergenciesbasedonfuzzylinearprogramming |