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Local energy minimization in optimal train control
TLDR
In this paper we calculate the critical switching points for a globally optimal strategy on a track with steep gradients using a new local energy minimization principle. Expand
The key principles of optimal train control—Part 1: Formulation of the model, strategies of optimal type, evolutionary lines, location of optimal switching points
We discuss the problem of finding an energy-efficient driving strategy for a train journey on an undulating track with steep grades subject to a maximum prescribed journey time. We review theExpand
Energy-efficient train control: From local convexity to global optimization and uniqueness
TLDR
We use a perturbation analysis to show that a key local energy functional is convex with a unique minimum and in so doing prove that the optimal switching points are uniquely defined for each steep section of track. Expand
The key principles of optimal train control—Part 2: Existence of an optimal strategy, the local energy minimization principle, uniqueness, computational techniques
We discuss the problem of finding an energy-efficient driving strategy for a train journey on an undulating track with steep grades subject to a maximum prescribed journey time. In Part 1 of thisExpand
Energy-efficient train control: The two-train separation problem on level track
TLDR
Energy-efficient train control: the two-train separation problem on level track with supplementary section clearance times . Expand
Optimal driving strategies for two successive trains on level track subject to a safe separation condition
TLDR
In this paper we impose a prescribed sequence of intermediate times that ensure adequate separation for two successive trains on level track. Expand
Freightmiser: an energy-efficient application of the train control problem
Fuel costs and CO2 emissions are a major concern for all transport operators, and the rail freight industry must increase its efficiency if it wishes to remain competitive. Freightmiser is an in-cabExpand
Optimal train control: Analysis of a new local optimization principle
TLDR
It is known that the optimal driving strategy for a train takes the form of a power-speedhold-coast-brake strategy unless the track contains steep grades. Expand
Coasting boards vs optimalcontrol
Freightmiser is a proven in-cab driver advice system that provides information to train drivers to help them drive efficiently and stay on time. The system has demonstrated fuel savings of up to 22%Expand
Optimal real-time junction scheduling for trains with connected driver advice systems
TLDR
We have developed a system that combines real-time driving advice calculation with real time junction scheduling to reduce delays at junctions, and have simulated the operation of this junction scheduling system at Neasden Junction in the UK. Expand
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