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Mathematical Problems in Engineering
Volume 2014, Article ID 954356, 13 pages
Research Article

Scheduling Additional Train Unit Services on Rail Transit Lines

1School of Transportation Engineering, Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, 4800 Cao’an Road, Shanghai 201804, China
2Institute of Railway Systems Engineering and Traffic Safety, Technical University of Braunschweig, Pockelsstraße 3, 38106 Braunschweig, Germany
3Department of Industrial Engineering, Dokuz Eylül University, 35160 Buca-Izmir, Turkey

Received 4 June 2014; Accepted 31 July 2014; Published 25 September 2014

Academic Editor: Wuhong Wang

Copyright © 2014 Zhibin Jiang 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.


This paper deals with the problem of scheduling additional train unit (TU) services in a double parallel rail transit line, and a mixed integer programming (MIP) model is formulated for integration strategies of new trains connected by TUs with the objective of obtaining higher frequencies in some special sections and special time periods due to mass passenger volumes. We took timetable scheduling and TUs scheduling as an integrated optimization model with two objectives: minimizing travel times of additional trains and minimizing shifts of initial trains. We illustrated our model using computational experiments drawn from the real rail transit line 16 in Shanghai and reached results which show that rail transit agencies can obtain a reasonable new timetable for different managerial goals in a matter of seconds, so the model is well suited to be used in daily operations.