Dynamic railway network management using switching max-plus-linear models
نویسندگان
چکیده
In this paper we discuss dynamic traffic management of railway networks. The main aim of the controller is to recover from delays in an optimal way by breaking connections and changing the departure of trains (at a cost). To model the railway system we use a switching max-plus-linear system description. We define the optimal control design problem for the railway network, and we show that solving this problem leads to an integer optimization problem. This problem can be solved with a genetic algorithm or with a mixed integer linear programming algorithm. We also apply the algorithm to a model of the Dutch railway network.
منابع مشابه
Scaling, Modeling and Traffic Control of a Real Railway Network using Max-plus Algebra and Model Predictive Control
Delay time recovery can increase the efficiency of the railway network and increase the attractiveness of railway transport against other transportation systems. This article presents a new dynamical model of railway system. The proposed model is a discrete event systems that is defined based on the deviation of travel time and deviation of stop time of trains. Due to the existence of multiple ...
متن کاملModeling and Control of Switching Max-Plus-Linear Systems: Rescheduling of railway traffic and changing gaits in legged locomotion
متن کامل
Estimating Stock Price in Energy Market Including Oil, Gas, and Coal: The Comparison of Linear and Non-Linear Two-State Markov Regime Switching Models
A common method to study the dynamic behavior of macroeconomic variables is using linear time series models; however, they are unable to explain nonlinear behavior of the series. Given the dependency between stock market and derivatives, the behavior of the underlying asset price can be modeled using Markov switching process properties and the economic regime significance. In this paper, a two-...
متن کاملModeling and control of switching max-plus-linear systems with random and deterministic switching
Switching max-plus-linear (SMPL) systems are discrete-event systems that can switch between different modes of operation. In each mode the system is described by a max-plus-linear state equation and a max-plus-linear output equation, with different system matrices for each mode. The switching may depend on the inputs and the states, or it may be a stochastic process. In this paper two equivalen...
متن کاملInvestigation of SLIM Dynamic Models Based on Vector Control for Railway Applications
Although, Single-Sided Linear Induction Motor (SLIM) utilization has increased in railway applications due to their numerous advantages in comparison to Rotational Induction Motors (RIM), there are some sophistication in their mathematical models and electrical drive. This paper focuses on the problems of SLIM modeling, with assuming end-effect on the basis of Field Oriented Control (FOC) as a ...
متن کامل