@article{ref1,
title="Deadlock analysis, prevention and train optimal travel mechanism in single-track railway system",
journal="Transportation research part B: methodological",
year="2014",
author="Li, Feng and Sheu, Jiuh-Biing and Gao, Zi-You",
volume="68",
number="",
pages="385-414",
abstract="In this paper, train scheduling problem (TSCP) is discussed for the case of single-track railway corridor, in which variable sensitivity on train delay are discussed in detailed for different types of trains. The mathematical model is a complicated nonlinear mixed-integer programming. The object of the model reflects sensitivity of trains with different types or travelling mileages on delay. A heuristic method based on the global conflicts distribution prediction (CDP) is presented. In the CDP, two critical problems restricting the development of simulation method, i.e., train deadlock and near-optimal travel strategy of train, are effectively solved. Numerical experiments show that the CDP can obtain a solution close enough to the optimal solution within a very short computational time. Variable cost weight with trapezoid-shape structure is investigated. Compared with constant weight, the schedule plan has more rational structure when variable cost weight is adopted.<p />",
language="en",
issn="0191-2615",
doi="10.1016/j.trb.2014.06.014",
url="http://dx.doi.org/10.1016/j.trb.2014.06.014"
}