Title
A minimum-cost model for bus timetabling problem.
Abstract
In urban traffic, a bus’ running speed is greatly influenced by the time-dependent road conditions. Based on historical GPS data, this paper formulates a bus’ running speed between each pair of adjacent stops as a step function. A minimum-cost timetabling model is proposed, in which the total operation cost consists of the cost for a fixed setup and that for variable fuel consumption. Furthermore, a genetic algorithm with self-crossover operation is used to optimize the proposed integer nonlinear programming model. Finally, a real-world case study of Yuntong 128 bus line in Beijing is presented. Comparisons among popular timetabling models are given, involving time-dependent running speed, minimum running speed, maximum running speed and average running speed. The results demonstrate that the consideration of time-dependent running speed is helpful to improve the prediction accuracy of the fuel consumption cost by around 12.7%.
Year
DOI
Venue
2018
10.1007/s00500-018-3279-6
Soft Comput.
Keywords
Field
DocType
Bus timetabling, Time-dependent speed, Fuel consumption, Genetic algorithm
Mathematical optimization,Gps data,Computer science,Nonlinear mixed integer programming,Fuel efficiency,Timetabling problem,Beijing,Genetic algorithm,Step function
Journal
Volume
Issue
ISSN
22
21
1432-7643
Citations 
PageRank 
References 
0
0.34
2
Authors
6
Name
Order
Citations
PageRank
Haitao Yu121.71
Hongguang Ma212.04
Changjing Shang321234.92
Xiang Li412.05
Randong Xiao531.73
Yong Du662.81