Journal
APPLIED SOFT COMPUTING
Volume 11, Issue 1, Pages 778-792Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.asoc.2009.12.039
Keywords
Railway freight transportation planning; Random fuzzy variable; Pessimistic value; Optimistic value; Chance measure
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Funding
- National Natural Science Foundation of China [60634010, 70901006]
- Changjiang Scholars and Innovative Research Team in University [IRT0605]
- State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University [RCS2009ZT001, RCS2008ZZ001]
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The railway freight transportation planning problem under the mixed uncertain environment of fuzziness and randomness is investigated in this paper, in which the optimal paths, the amount of commodities passing through each path and the frequency of services need to be determined. Based on the chance measure and critical values of the random fuzzy variable, three chance-constrained programming models are constructed for the problem with respect to different criteria. Some equivalents of objectives and constraints are also discussed in order to investigate mathematical properties of the models. To solve the models, a potential path searching algorithm, simulation algorithms and a genetic algorithm are integrated as a hybrid algorithm to solve an optimal solution. Finally, some numerical examples are performed to show the applications of the models and the algorithm. (c) 2010 Elsevier B. V. All rights reserved.
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