title: Train repathing in emergencies based on fuzzy linear programming.
abstract: 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.
authors.affiliation: School of Traffic and Transportation, Lanzhou Jiaotong University, P.O. Box 405, Anning West Road, Anning District, Lanzhou, Gansu 730070, China.
authors.forename: Xuelei
authors.identifier: 0000-0003-0350-5277
authors.initials: X
authors.lastname: Meng
authors.affiliation: School of Traffic and Transportation, Lanzhou Jiaotong University, P.O. Box 405, Anning West Road, Anning District, Lanzhou, Gansu 730070, China.
authors.forename: Bingmou
authors.initials: B
authors.lastname: Cui
mesh_terms: D002681:China; D004189:Disaster Planning / Q000379:methods*; D017143:Fuzzy Logic; D008962:Models, Theoretical; D011382:Programming, Linear; D011890:Railroads / Q000191:economics* / Q000379:methods*