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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9318025, 11 pages
Research Article

Multiobjective Optimization Model for Profile Design of Hump Distributing Zone

1School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
2School of Civil Engineering and Transportation, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Correspondence should be addressed to Hongliang Zhang

Received 7 July 2017; Revised 7 November 2017; Accepted 11 December 2017; Published 31 December 2017

Academic Editor: Francisco Chicano

Copyright © 2017 Hongliang Zhang 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.


Railway freight trains consist of many cars heading to different destinations. Hump is the special equipment that distributes cars with different destinations to different tracks in a marshalling station. In recent years, with the development of Chinese freight car technology, the axle load has risen from 21 ton to 23 ton and will rise to 27 ton in the future. Many rolling problems appear in the hump distributing zone with the application of 23-ton axle load cars, which will be exacerbated by 27-ton axle load cars. This paper proposes a multiobjective optimization model based on the angle of the hump profile design with minimizing weighted accumulating rolling time (WART) and hump height as optimization goals and uses the improved genetic algorithm NSGA-II to determine a solution. In case study, Pareto solution set is obtained, and the contrast analysis with traditional method is made.