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Mathematical Problems in Engineering
Volume 2018 (2018), Article ID 5176920, 8 pages
Research Article

Bus Route Design with a Bayesian Network Analysis of Bus Service Revenues

MOE Key Laboratory for Urban Transportation Complex System Theory and Technology, Beijing Jiaotong University, No. 3 Shangyuancun, Haidian District, Beijing 100044, China

Correspondence should be addressed to Yi Liu

Received 27 May 2017; Revised 31 October 2017; Accepted 13 December 2017; Published 30 January 2018

Academic Editor: Erik Cuevas

Copyright © 2018 Yi Liu 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.


A Bayesian network is used to estimate revenues of bus services in consideration of the effect of bus travel demands, passenger transport distances, and so on. In this research, the area X in Beijing has been selected as the study area because of its relatively high bus travel demand and, on the contrary, unsatisfactory bus services. It is suggested that the proposed Bayesian network approach is able to rationally predict the probabilities of different revenues of various route services, from the perspectives of both satisfying passenger demand and decreasing bus operation cost. This way, the existing bus routes in the studied area can be optimized for their most probable high revenues.