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In this paper, we consider scheduling problems that arise in connected and autonomous vehicle systems. For four variants of such problems, mathematical models and solution algorithms are presented. In particular, three polynomial algorithms…

Optimization and Control · Mathematics 2023-04-05 Evgeny R. Gafarov , Frank Werner

This paper considers the simultaneous high-speed train assignment and maintenance scheduling problem. For the maintenance scheduling module, our focus is the second-level maintenance, which is carried out once a month on average. We propose…

Optimization and Control · Mathematics 2017-09-14 Boliang Lin

Rail is a cost-effective and relatively low-emission mode for transporting intermodal containers over long distances. This paper addresses tactical planning of intermodal railroad operations by introducing a new problem that simultaneously…

Optimization and Control · Mathematics 2025-11-11 Julie Kienzle , Serge Bisaillon , Teodor Gabriel Crainic , Emma Frejinger

The train timetabling problem in liberalized railway markets represents a challenge to the coordination between infrastructure managers and railway undertakings. Efficient scheduling is critical to maximizing infrastructure capacity and…

This document is the third sub-report from the research project SATT (Samplanering av trafikp{\aa}verkande {\aa}tg\"arder och trafikfl\"oden, modellstudie / Coordinated planning of temporary capacity restrictions and traffic flows, model…

Optimization and Control · Mathematics 2021-11-29 Tomas Lidén , Martin Aronsson

In public railway systems, minor disruptions can trigger cascading events that lead to delays in the entire system. Typically, delays originate and propagate because the equipment is blocking ways, operational units are unavailable, or at…

Physics and Society · Physics 2023-10-24 Simone Daniotti , Vito D. P. Servedio , Johannes Kager , Aad Robben-Baldauf , Stefan Thurner

Optimization-based decision support systems have a significant potential to reduce delays, and thus improve efficiency on the railways, by automatically re-routing and re-scheduling trains after delays have occurred. The operations research…

Artificial Intelligence · Computer Science 2025-09-17 Oddvar Kloster , Bjørnar Luteberget , Carlo Mannino , Giorgio Sartor

Time-delay dynamical systems inherently embody infinite-dimensional dynamics, thereby amplifying their complexity. This aspect is especially notable in nonlinear dynamical systems, which frequently defy analytical solutions and necessitate…

Dynamical Systems · Mathematics 2025-05-20 Yuan Tang , Mingwu Li

The following geometric vehicle scheduling problem has been considered: given continuous curves $f_1, \ldots, f_n : \mathbb{R} \rightarrow \mathbb{R}^2$, find non-negative delays $t_1, \ldots, t_n$ minimizing $\max \{ t_1, \ldots, t_n \}$…

Computational Geometry · Computer Science 2021-07-13 Jean-Lou De Carufel , Darryl Hill , Anil Maheshwari , Sasanka Roy , Luís Fernando Schultz Xavier da Silveira

Managing disruptions in railway traffic management is a major challenge. Rising traffic density and infrastructure limits increase complexity, making the Vehicle Routing and Scheduling Problem (VRSP) difficult to solve reliably and in real…

Artificial Intelligence · Computer Science 2026-05-12 Alberto Castagna , Stefan Zahlner , Adrian Egli , Christian Eichenberger , Daniel Boos , Manuel Meyer , Anton Fuxjager

Using strategic timetables as input for railway network design has become increasingly popular among western European railway infrastructure operators. Although both railway timetabling and railway network design on their own are well…

Optimization and Control · Mathematics 2023-08-02 Tim Sander , Nadine Friesen , Karl Nachtigall , Nils Nießen

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN…

Artificial Intelligence · Computer Science 2011-02-01 Andrea Roli , Michela Milano

The local reconstruction of a railway schedule following a small perturbation of the traffic, seeking minimization of the total accumulated delay, is a very difficult and tightly constrained combinatorial problem. Notoriously enough, the…

Artificial Intelligence · Computer Science 2007-05-23 Yann Semet , Marc Schoenauer

An essential issue that a freight transportation system faced is how to deliver shipments (OD pairs) on a capacitated physical network optimally; that is, to determine the best physical path for each OD pair and assign each OD pair into the…

Optimization and Control · Mathematics 2017-07-27 Boliang Lin

We propose a two phase time dependent vehicle routing and scheduling optimization model that identifies the safest routes, as a substitute for the classical objectives given in the literature such as shortest distance or travel time,…

Artificial Intelligence · Computer Science 2017-10-20 Aschkan Omidvar , Eren Erman Ozguven , O. Arda Vanli , R. Tavakkoli-Moghaddam

Train timetable rescheduling (TTR) aims to promptly restore the original operation of trains after unexpected disturbances or disruptions. Currently, this work is still done manually by train dispatchers, which is challenging to maintain…

Machine Learning · Computer Science 2024-01-17 Peng Yue , Yaochu Jin , Xuewu Dai , Zhenhua Feng , Dongliang Cui

Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

Numerical Analysis · Mathematics 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

We study SMT problems over the reals containing ordinary differential equations. They are important for formal verification of realistic hybrid systems and embedded software. We develop delta-complete algorithms for SMT formulas that are…

Logic in Computer Science · Computer Science 2013-10-31 Sicun Gao , Soonho Kong , Edmund Clarke

In various scenarios, a single phase of modelling and solving is either not sufficient or not feasible to solve the problem at hand. A standard approach to solving AI planning problems, for example, is to incrementally extend the planning…

Artificial Intelligence · Computer Science 2020-09-24 Gökberk Koçak , Özgür Akgün , Nguyen Dang , Ian Miguel

Coarse-Grain Reconfigurable Arrays (CGRAs) are emerging low-power architectures aimed at accelerating compute-intensive application loops. The acceleration that a CGRA can ultimately provide, however, heavily depends on the quality of the…

Hardware Architecture · Computer Science 2025-12-03 Cristian Tirelli , Lorenzo Ferretti , Laura Pozzi