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Guidance of generative models is typically achieved by modifying the probability flow vector field through the addition of a guidance field. In this paper, we instead propose the Source-Guided Flow Matching (SGFM) framework, which modifies…

Machine Learning · Computer Science 2025-08-25 Zifan Wang , Alice Harting , Matthieu Barreau , Michael M. Zavlanos , Karl H. Johansson

Cooperative path-finding in multi-agent systems demands scalable solutions to navigate agents from their origins to destinations without conflict. Despite the breadth of research, scalability remains hampered by increased computational…

Multiagent Systems · Computer Science 2024-07-30 Jinmingwu Jiang , Kaigui Wu , Haiyang Liu , Ren Zhang , Jingxin Liu , Yong He , Xipeng Kou

Lifelong Multi-Agent Path Finding (LMAPF) repeatedly finds collision-free paths for multiple agents that are continually assigned new goals when they reach current ones. Recently, this field has embraced learning-based methods, which…

Multiagent Systems · Computer Science 2025-05-20 He Jiang , Yutong Wang , Rishi Veerapaneni , Tanishq Duhan , Guillaume Sartoretti , Jiaoyang Li

In the Many-visits Path TSP, we are given a set of $n$ cities along with their pairwise distances (or cost) $c(uv)$, and moreover each city $v$ comes with an associated positive integer request $r(v)$. The goal is to find a minimum-cost…

Discrete Mathematics · Computer Science 2020-07-23 Kristóf Bérczi , Matthias Mnich , Roland Vincze

Many evolutionary and constructive heuristic approaches have been introduced in order to solve the Traveling Thief Problem (TTP). However, the accuracy of such approaches is unknown due to their inability to find global optima. In this…

Data Structures and Algorithms · Computer Science 2017-08-02 Junhua Wu , Markus Wagner , Sergey Polyakovskiy , Frank Neumann

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

The present work extends the randomized shortest-paths framework (RSP), interpolating between shortest-path and random-walk routing in a network, in three directions. First, it shows how to deal with equality constraints on a subset of…

Machine Learning · Computer Science 2018-07-13 Bertrand Lebichot , Guillaume Guex , Ilkka Kivimäki , Marco Saerens

The Multiple Traveling Salesman Problem (MTSP) extends the traveling salesman problem by assigning multiple salesmen to visit a set of targets from a common depot, with each target visited exactly once while minimizing total tour length. A…

Optimization and Control · Mathematics 2026-04-28 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

Multi-Agent Path Finding (MAPF) has gained significant attention, with most research focusing on minimizing collisions and travel time. This paper also considers energy consumption in the path planning of automated guided vehicles (AGVs).…

Robotics · Computer Science 2025-10-30 Ahmad Kokhahi , Mary Kurz

Multi-Agent Path Finding (MAPF) is a challenging combinatorial problem that asks us to plan collision-free paths for a team of cooperative agents. In this work, we show that one of the reasons why MAPF is so hard to solve is due to a…

Artificial Intelligence · Computer Science 2021-03-15 Jiaoyang Li , Daniel Harabor , Peter J. Stuckey , Sven Koenig

Multi-agent path finding (MAPF) determines an ensemble of collision-free paths for multiple agents between their respective start and goal locations. Among the available MAPF planners for workspace modeled as a graph, A*-based approaches…

Robotics · Computer Science 2022-02-16 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

We consider some generalizations of the Asymmetric Traveling Salesman Path problem. Suppose we have an asymmetric metric G = (V,A) with two distinguished nodes s,t. We are also given a positive integer k. The goal is to find k paths of…

Data Structures and Algorithms · Computer Science 2011-12-15 Zachary Friggstad

We consider the Maximum-Profit Routing Problem (MPRP), a variant of pick-up routing problem introduced in \cite{Armaselu-arXiv-2016, Armaselu-PETRA}, in which the goal is to maximize total profit. The original MPRP restricts vehicles to…

Data Structures and Algorithms · Computer Science 2021-09-14 Bogdan Armaselu

Multi-Agent Path finding (MAPF) is the problem of finding paths for a set of agents such that each agent reaches its desired destination while avoiding collisions with the other agents. This problem arises in many robotics applications,…

Multiagent Systems · Computer Science 2026-02-24 Raz Beck , Roni Stern

Multi-Agent Path Finding (MAPF) aims to move agents from their start to goal vertices on a graph. Lifelong MAPF (LMAPF) continuously assigns new goals to agents as they complete current ones. To guide agents' movement in LMAPF, prior works…

Multiagent Systems · Computer Science 2026-03-03 Yulun Zhang , Varun Bhatt , Matthew C. Fontaine , Stefanos Nikolaidis , Jiaoyang Li

Missions for autonomous systems often require agents to visit multiple targets in complex operating conditions. This work considers the problem of visiting a set of targets in minimum time by a team of non-communicating agents in a Markov…

Optimization and Control · Mathematics 2023-06-21 Farhad Nawaz , Melkior Ornik

Understanding the behaviour of heuristic search methods is a challenge. This even holds for simple local search methods such as 2-OPT for the Traveling Salesperson problem. In this paper, we present a general framework that is able to…

Neural and Evolutionary Computing · Computer Science 2020-06-01 Wanru Gao , Samadhi Nallaperuma , Frank Neumann

Large-scale multi-agent pathfinding (MAPF) presents significant challenges in several areas. As systems grow in complexity with a multitude of autonomous agents operating simultaneously, efficient and collision-free coordination becomes…

Multiagent Systems · Computer Science 2024-02-27 Huijie Tang , Federico Berto , Zihan Ma , Chuanbo Hua , Kyuree Ahn , Jinkyoo Park

We study the Stochastic Shortest Path (SSP) problem for autonomous systems with mixed max-sum cost aggregations under Linear Temporal Logic constraints. Classical SSP formulations rely on sum-aggregated costs, which are suitable for…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zhiquan Zhang , Omar Muhammetkulyyev , Tichakorn Wongpiromsarn , Melkior Ornik

As an extension of the traveling repairman problem with profits, the multiple traveling repairman problem with profits consists of multiple repairmen who visit a subset of all customers to maximize the revenues collected through the visited…

Neural and Evolutionary Computing · Computer Science 2021-11-10 Jintong Ren , Jin-Kao Hao , Feng Wu , Zhang-Hua Fu