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Mobility systems featuring shared vehicles are often unable to serve all potential customers, as the distribution of demand does not coincide with the positions of vehicles at any given time. System operators often choose to reposition…

最优化与控制 · 数学 2019-02-05 Joseph Warrington , Dominik Ruchti

The residual queue during a given study period (e.g., peak hour) is an important feature that should be considered when solving a traffic assignment problem under equilibrium for strategic traffic planning. Although studies have focused…

系统与控制 · 电气工程与系统科学 2025-01-14 Hao Fu , William H. K. Lam , Wei Ma , Yuxin Shi , Rui Jiang , Huijun Sun , Ziyou Gao

We consider the traffic assignment problem in nonatomic routing games where the players' cost functions may be subject to random fluctuations (e.g., weather disturbances, perturbations in the underlying network, etc.). We tackle this…

计算机科学与博弈论 · 计算机科学 2022-01-11 Dong Quan Vu , Kimon Antonakopoulos , Panayotis Mertikopoulos

There are so many vehicles in the world and the number of vehicles is increasing rapidly. To alleviate the parking problems caused by that, the smart parking system has been developed. The parking planning is one of the most important parts…

数据结构与算法 · 计算机科学 2017-08-29 Xuejian Zhao , Kui Zhao , Feng Ha

Combined Target-Assignment and Path-Finding problem (TAPF) requires simultaneously assigning targets to agents and planning collision-free paths for agents from their start locations to their assigned targets. As a leading approach to…

人工智能 · 计算机科学 2023-10-24 Yimin Tang , Zhongqiang Ren , Jiaoyang Li , Katia Sycara

During Multi-Agent Path Finding (MAPF) problems, agents can be delayed by unexpected events. To address such situations recent work describes k-Robust Conflict-BasedSearch (k-CBS): an algorithm that produces coordinated and collision-free…

人工智能 · 计算机科学 2021-10-29 Zhe Chen , Daniel Harabor , Jiaoyang Li , Peter J. Stuckey

As Mobility as a Service (MaaS) systems become increasingly popular, travel is changing from unimodal trips to personalized services offered by a platform of mobility operators. Evaluation of MaaS platforms depends on modeling both user…

计算机与社会 · 计算机科学 2020-08-14 Theodoros P. Pantelidis , Joseph Y. J. Chow , Saeid Rasulkhani

Finding a shortest path in a graph is one of the most classic problems in algorithmic and graph theory. While we dispose of quite efficient algorithms for this ordinary problem (like the Dijkstra or Bellman-Ford algorithms), some slight…

数据结构与算法 · 计算机科学 2024-08-05 Abderrahim Bendahi , Adrien Fradin

We propose new variational principles for traffic assignment problems. So to find equillibrium we have to solve large-scale convex optimization problem of special type. We propose some kind of "algebra" on different models and corresponding…

最优化与控制 · 数学 2017-02-28 Alexander Gasnikov

In the highway problem, we are given an n-edge line graph (the highway), and a set of paths (the drivers), each one with its own budget. For a given assignment of edge weights (the tolls), the highway owner collects from each driver the…

数据结构与算法 · 计算机科学 2010-04-20 Fabrizio Grandoni , Thomas Rothvoss

The $k-$traveling salesman problem ($k$-TSP) seeks a tour of minimal length that visits a subset of $k\leq n$ points. The traveling repairman problem (TRP) seeks a complete tour with minimal latency. This paper provides constant-factor…

离散数学 · 计算机科学 2022-11-22 Moïse Blanchard , Alexandre Jacquillat , Patrick Jaillet

A polyhedral active set algorithm PASA is developed for solving a nonlinear optimization problem whose feasible set is a polyhedron. Phase one of the algorithm is the gradient projection method, while phase two is any algorithm for solving…

最优化与控制 · 数学 2016-06-08 William W. Hager , Hongchao Zhang

We present an algorithm for the k shortest simple path problem on weighted directed graphs (kSSP) that is based on Eppstein's algorithm for a similar problem in which paths are allowed to contain cycles. In contrast to most other algorithms…

数据结构与算法 · 计算机科学 2016-01-13 Denis Kurz , Petra Mutzel

The constrained path optimization (CPO) problem takes the following input: (a) a road network represented as a directed graph, where each edge is associated with a "cost" and a "score" value; (b) a source-destination pair and; (c) a budget…

分布式、并行与集群计算 · 计算机科学 2022-08-05 Kousik Kumar Dutta , Ankita Dewan , Venkata M. V. Gunturi

We study the problem of online Multi-Agent Pickup and Delivery (MAPD), where a team of agents must repeatedly serve dynamically appearing tasks on a shared map. Existing online methods either rely on simple heuristics, which result in poor…

多智能体系统 · 计算机科学 2025-08-11 Yue Zhang , Zhe Chen , Daniel Harabor , Pierre Le Bodic , Peter J. Stuckey

We consider a probabilistic model for large-scale task allocation problems for multi-agent systems, aiming to determine an optimal deployment strategy that minimizes the overall transport cost. Specifically, we assign transportation agents…

系统与控制 · 电气工程与系统科学 2025-03-13 Anqi Dong , Karl H. Johansson , Johan Karlsson

In the k-Path problem, the input is a directed graph $G$ and an integer $k\geq 1$, and the goal is to decide whether there is a simple directed path in $G$ with exactly $k$ vertices. We give a deterministic algorithm for k-Path with time…

数据结构与算法 · 计算机科学 2019-01-25 Dekel Tsur

The Single-Source Shortest Path (SSSP) problem is well-known for the challenges in developing fast, practical, and work-efficient parallel algorithms. This work introduces a novel shortest path search method. It allows paths with different…

分布式、并行与集群计算 · 计算机科学 2025-06-25 Huashan Yu , Xiaolin Wang , Yingwei Luo

This study presents a distributed gradient-based approach to solve system optimal dynamic traffic assignment (SODTA) formulated based on the cell transmission model. The algorithm distributes SODTA into local sub-problems, who find optimal…

最优化与控制 · 数学 2021-12-30 Mehrzad Mehrabipour , Ali Hajbabaie

We present an algorithm for optimal guidance of users in road networks. It is a "stochastic-on-time-arrival (SOTA)"-like algorithm which calculates optimal guidance strategies with reliable paths, for road network origin-destination pairs.…

最优化与控制 · 数学 2016-06-30 Farida Manseur , Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque