2011 14th International IEEE Conference on Intelligent Transportation Systems (ITSC) 2011
DOI: 10.1109/itsc.2011.6082884
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Optimal trajectory planning for trains using mixed integer linear programming

Abstract: Abstract-The optimal trajectory planning for trains under constraints and fixed maximal arrival time is considered. The variable line resistance (including variable grade profile, tunnels, and curves) and arbitrary speed restrictions are included in this approach. The objective function is a trade-off between the energy consumption and the riding comfort. First, the nonlinear train model is approximated by a piece-wise affine model. Next, the optimal control problem is formulated as a mixed integer linear prog… Show more

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Cited by 41 publications
(31 citation statements)
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“…A similar method is proposed by Albrecht [1], who solves differential equation systems. In order to find a solution, which is a compromise between energy consumption and riding comfort, Wang et al [26] propose an optimization model based on a mixed integer program to optimize running times.…”
Section: Introductionmentioning
confidence: 99%
“…A similar method is proposed by Albrecht [1], who solves differential equation systems. In order to find a solution, which is a compromise between energy consumption and riding comfort, Wang et al [26] propose an optimization model based on a mixed integer program to optimize running times.…”
Section: Introductionmentioning
confidence: 99%
“…There are several measures which may be implemented by different kinds of decision-makers (such as local administrations, public transport operators and car manufacturers) to optimise the use of transportation systems, for instance by implementing pricing policies [1][2][3], by establishing restricted traffic zones [4], adopting ITS technologies to rationalise private car use [5,6], improving public transport quality [7,8] or implementing energy-saving strategies [9][10][11][12].…”
Section: Introductionmentioning
confidence: 99%
“…Likewise, for the fourth phase, numerous studies have investigated the interaction between rail system performance and travel demand [9][10][11], the management and rescheduling of rail services in the event of perturbation [12][13][14][15][16] or the identification of optimal driving profiles which minimise energy consumption [17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%