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Efficient dispatching rules on double tracks with heterogeneous train traffic
Institution:1. Department of Resources Engineering, National Cheng Kung University of Tainan, 70101, Taiwan, ROC;2. Department of Occupational Safety and Health, Chang Jung Christian University of Tainan, 71101, Taiwan, ROC;3. Department of Fire Science, Central Police University of Taoyuan, 33304, Taiwan, ROC;1. Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany;2. Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA 02139, United States;1. Caen University Hospital, Department of Hepato-Gastroenterology and Nutrition, Caen, France;2. Caen University Hospital, Department of Biostatistics and Clinical Research, Caen, France;3. Caen University Hospital, Medical Intensive Care, Caen, France
Abstract:The most natural and popular dispatching rule for double-track segments is to dedicate one track for trains traveling in one direction. However, sometimes passenger trains have to share some portions of the railway with freight trains and passenger trains are traveling faster and faster nowadays. The major drawback of this dedicated rule is that a fast train can be caught behind a slow train and experience significant knock-on delay. In this paper, we propose a switchable dispatching policy for a double-track segment. The new dispatching rule enables the fast train to pass the slow train by using the track traveled by trains in the opposite direction if the track is empty. We use queueing theory techniques to derive the delay functions of this policy. The numerical experiments show that a switchable policy can reduce the fast train knock-on delay by as high as 30% compared to a dedicated policy. When there are crossovers at the middle of the double-track segment, our proposed switchable policy can reduce the delay of the fast trains by as high as 65%.
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