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The traffic assignment problem (TAP) aims to predict how traffic flows distribute themselves across a road network, traditionally requiring computationally expensive iterative simulations to reach a user equilibrium (UE) where no driver can…

Optimization and Control · Mathematics 2026-05-08 Isolda Cardoso , Lucas Venturato , Jorgelina Walpen

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

Data Structures and Algorithms · Computer Science 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

The shortest path problem in graphs is fundamental to AI. Nearly all variants of the problem and relevant algorithms that solve them ignore edge-weight computation time and its common relation to weight uncertainty. This implies that taking…

Data Structures and Algorithms · Computer Science 2024-03-29 Eyal Weiss , Ariel Felner , Gal A. Kaminka

System optimum (SO) routing, wherein the total travel time of all users is minimized, is a holy grail for transportation authorities. However, SO routing may discriminate against users who incur much larger travel times than others to…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Devansh Jalota , Kiril Solovey , Matthew Tsao , Stephen Zoepf , Marco Pavone

Applications such as megaregional planning require efficient methods for solving traffic assignment problems (TAPs) on large-scale networks. We propose a decomposition heuristic that generates approximate TAP solutions by partitioning the…

Optimization and Control · Mathematics 2022-06-28 Venktesh Pandey , Priyadarshan N. Patil

We introduce the transport-and-pack(TAP) problem, a frequently encountered instance of real-world packing, and develop a neural optimization solution based on reinforcement learning. Given an initial spatial configuration of boxes, we seek…

Graphics · Computer Science 2020-09-04 Ruizhen Hu , Juzhan Xu , Bin Chen , Minglun Gong , Hao Zhang , Hui Huang

Integer programming (IP) has proven to be highly effective in solving many path-based optimization problems in robotics. However, the applications of IP are generally done in an ad-hoc, problem specific manner. In this work, after examined…

Robotics · Computer Science 2019-03-04 Shuai D. Han , Jingjin Yu

Road safety is a major global public health concern. Effective traffic crash prediction can play a critical role in reducing road traffic accidents. However, Existing machine learning approaches tend to focus on predicting traffic accidents…

Machine Learning · Computer Science 2023-04-19 Baixiang Huang , Bryan Hooi , Kai Shu

One of the potential capabilities of Connected and Autonomous Vehicles (CAVs) is that they can have different route choice behavior and driving behavior compared to human Driven Vehicles (HDVs). This will lead to mixed traffic flow with…

Systems and Control · Electrical Eng. & Systems 2023-01-27 Behzad Bamdad Mehrabani , Jakob Erdmann , Luca Sgambi , Seyedehsan Seyedabrishami , Maaike Snelder

Solving the road congestion problem is one of the most pressing issues in moderncities since it causes time wasting, pollution, higher industrial costs and huge roadmaintenance costs. Advances in ITS technologies and the advent of…

Computer Science and Game Theory · Computer Science 2021-05-13 Valentina Morandi

We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

Disordered Systems and Neural Networks · Physics 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

The tree augmentation problem (TAP) is a fundamental network design problem, in which the input is a graph $G$ and a spanning tree $T$ for it, and the goal is to augment $T$ with a minimum set of edges $Aug$ from $G$, such that $T \cup Aug$…

Data Structures and Algorithms · Computer Science 2019-05-13 Keren Censor-Hillel , Michal Dory

Multi-agent path finding (MAPF) is the problem of finding paths for multiple agents such that they do not collide. This problem manifests in numerous real-world applications such as controlling transportation robots in automated warehouses,…

Artificial Intelligence · Computer Science 2024-06-18 Carmel Shabalin , Omri Kaduri , Roni Stern

Street intersection counts and densities are ubiquitous measures in transport geography and planning. However, typical street network data and typical street network analysis tools can substantially overcount them. This article explains the…

Physics and Society · Physics 2025-05-01 Geoff Boeing

Multi-Agent Path Finding (MAPF) is a fundamental problem in robotics that asks us to compute collision-free paths for a team of agents, all moving across a shared map. Although many works appear on this topic, all current algorithms…

Artificial Intelligence · Computer Science 2024-02-01 Zhe Chen , Daniel Harabor , Jiaoyang Li , Peter J. Stuckey

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

Machine Learning · Computer Science 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

The traffic assignment problem is one of the significant components of traffic flow analysis for which various solution approaches have been proposed. However, deploying these approaches for large-scale networks poses significant…

Machine Learning · Computer Science 2024-10-18 Tong Liu , Hadi Meidani

Recent advances in wireless technologies have enabled many new applications in Intelligent Transportation Systems (ITS) such as collision avoidance, cooperative driving, congestion avoidance, and traffic optimization. Due to the vulnerable…

Networking and Internet Architecture · Computer Science 2012-10-22 Mina Guirguis , George Atia

Recent advances in machine learning (ML) have shown promise in aiding and accelerating classical combinatorial optimization algorithms. ML-based speed ups that aim to learn in an end to end manner (i.e., directly output the solution) tend…

Machine Learning · Computer Science 2023-10-24 Zohair Shafi , Benjamin A. Miller , Ayan Chatterjee , Tina Eliassi-Rad , Rajmonda S. Caceres

Traffic assignment analyzes traffic flows in road networks that emerge due to traveler interaction. Traditionally, travelers are assumed to use private cars, so road costs grow with the number of users due to congestion. However, in…

Computer Science and Game Theory · Computer Science 2025-02-10 Thomas Bläsius , Adrian Feilhauer , Markus Jung , Moritz Laupichler , Peter Sanders , Michael Zündorf
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