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Trajectory planning is a critical component in ensuring the safety, stability, and efficiency of autonomous vehicles. While existing trajectory planning methods have achieved progress, they often suffer from high computational costs,…

In this paper, we present a cyclically time-expanded network model for simultaneous optimization of traffic assignment and traffic signal parameters, in particular offsets, split times, and phase orders. Since travel times are of great…

Discrete Mathematics · Computer Science 2015-09-30 Ekkehard Köhler , Martin Strehler

We introduce a model of infinite horizon linear dynamic optimization with linear constraints and obtain results concerning feasibility of trajectories and optimal solutions necessarily satisfying conditions that resemble the Euler condition…

Optimization and Control · Mathematics 2025-04-02 Somdeb Lahiri

Ready Mixed Concrete Delivery Problem (RMCDP) is a multi-objective multi-constraint dynamic combinatorial optimization problem. From the operational research prospective, it is a real life logistic problem that is hard to be solved with…

Data Structures and Algorithms · Computer Science 2018-10-29 Mohamed Masoud , Saeid Belkasim

We present here a real-time control model for the train dynamics in a linear metro line system. The model describes the train dynamics taking into account average passenger arrival rates on platforms, including control laws for train dwell…

Optimization and Control · Mathematics 2018-10-30 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

Optimization and Control · Mathematics 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Real-world physics can only be analytically modeled with a certain level of precision for modern intricate robotic systems. As a result, tracking aggressive trajectories accurately could be challenging due to the existence of residual…

Robotics · Computer Science 2026-04-16 Kexin Guo , Zihan Yang , Yuhang Liu , Jindou Jia , Xiang Yu

As the speed and the dynamic range of computer networks evolve, the issue of efficient traffic management becomes increasingly important. This work describes an approach to traffic management using explicit rate information provided to the…

Networking and Internet Architecture · Computer Science 2007-05-23 A. Charny , D. Clark , R. Jain

In this paper we address several constrained transportation optimization problems (e.g. vehicle routing, shortest Hamiltonian path), for which we present novel algorithmic solutions and extensions, considering several optimization…

Data Structures and Algorithms · Computer Science 2009-03-24 Mugurel Ionut Andreica , Sorin Briciu , Madalina Ecaterina Andreica

In this paper, we provide a decentralized theoretical framework for coordination of connected and automated vehicles (CAVs) at different traffic scenarios. The framework includes: (1) an upper-level optimization that yields for each CAV its…

Optimization and Control · Mathematics 2021-07-14 Andreas A. Malikopoulos , Logan E. Beaver , Ioannis Vasileios Chremos

We consider the optimal control problem of steering an agent population to a desired distribution over an infinite horizon. This is an optimal transport problem over dynamical systems, which is challenging due to its high computational…

Optimization and Control · Mathematics 2023-01-18 Kaito Ito , Kenji Kashima

We study the problem of trajectory optimization in settings where the system dynamics are unknown and it is not possible to simulate trajectories through a surrogate model. When an offline dataset of trajectories is available, an agent…

Artificial Intelligence · Computer Science 2026-04-07 Daniele Foffano , Alessio Russo , Alexandre Proutiere

Positive systems describing networks with inherently non-negative states and inputs arise naturally in routing, logistics, and compartmental modelling. We consider problems modelled as positive linear systems in incidence form with linear…

Optimization and Control · Mathematics 2026-05-28 Roland Schurig , David Ohlin , Anders Rantzer , Emma Tegling , Rolf Findeisen

This study introduces a novel methodology for managing train network disruptions across the entire rail network, leveraging digital tools and methodologies. The approach involves two stages, taking into account possible and practical…

Optimization and Control · Mathematics 2024-12-30 Shayan Bafandkar , Yousef Shafahi , Alireza Eslami , Alireza Yazdiani

Systematically including dynamically changing waypoints as desired discrete actions, for instance, resulting from superordinate task planning, has been challenging for online model predictive trajectory optimization with short planning…

Robotics · Computer Science 2024-02-08 Florian Beck , Minh Nhat Vu , Christian Hartl-Nesic , Andreas Kugi

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

In dense traffic scenarios, ensuring safety while keeping high task performance for autonomous driving is a critical challenge. To address this problem, this paper proposes a computationally-efficient spatiotemporal receding horizon control…

Robotics · Computer Science 2024-05-28 Lei Zheng , Rui Yang , Zengqi Peng , Michael Yu Wang , Jun Ma

We consider a stochastic linear system and address the design of a finite horizon control policy that is optimal according to some average cost criterion and accounts also for probabilistic constraints on both the input and state variables.…

Optimization and Control · Mathematics 2016-10-21 Luca Deori , Simone Garatti , Maria Prandini

We present a mathematical model to predict pedestrian motion over a finite horizon, intended for use in collision avoidance algorithms for autonomous driving. The model is based on a road map structure, and assumes a rational pedestrian…

Systems and Control · Computer Science 2018-03-14 Ivo Batkovic , Mario Zanon , Nils Lubbe , Paolo Falcone