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Mathematical Problems in Engineering
Volume 2017, Article ID 7914318, 6 pages
Research Article

Optimization Model for Multi-Vehicle-Type Structure in Urban Bus Systems

1School of Transportation, Jilin University, Changchun 130022, China
2School of Automobile, Chang’an University, Xi’an 170016, China

Correspondence should be addressed to Huasheng Liu; nc.ude.ulj@shuiltj

Received 8 December 2016; Revised 15 March 2017; Accepted 27 March 2017; Published 9 April 2017

Academic Editor: Hakim Naceur

Copyright © 2017 Shuzhi Zhao 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.


Nowadays, bus lines commonly share terminals, especially in urban areas, because an independent operation of each line would cause a large waste of resources. In addition, if lines share terminal all lines can be monitored by unified management, while the vehicles of different sizes can complement each other. Although the dispatcher generally sets up fixed departure intervals for bus lines, there are differences between bus lines in terms of operating time distribution and line volume. Thus, a new optimization model for multi-vehicle-type structure in urban bus system is proposed in this paper. The optimization was conducted according to two main characteristics of bus systems, bus company expense and bus service quality. The optimization model was designed based on minimal possible expense and maximal possible quality. At the same time, we proposed a Markov method based on alternative relations to solve the model. The proposed model was verified by real urban bus system. Moreover, the simulations in MATLAB software environment have proven a high efficiency and applicability of the proposed method.