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Constant-factor, polynomial-time approximation algorithms are presented for two variations of the traveling salesman problem with time windows. In the first variation, the traveling repairman problem, the goal is to find a tour that visits…

数据结构与算法 · 计算机科学 2009-05-28 Greg N. Frederickson , Barry Wittman

Multi-agent path planning is a critical challenge in robotics, requiring agents to navigate complex environments while avoiding collisions and optimizing travel efficiency. This work addresses the limitations of existing approaches by…

Multi-Agent Path Finding (MAPF) is an important core problem for many new and emerging industrial applications. Many works appear on this topic each year, and a large number of substantial advancements and performance improvements have been…

人工智能 · 计算机科学 2023-05-16 Bojie Shen , Zhe Chen , Muhammad Aamir Cheema , Daniel D. Harabor , Peter J. Stuckey

Many real-world scenarios require multiple agents to coordinate in shared environments, while balancing trade-offs between multiple, potentially competing objectives. Current multi-objective multi-agent path finding (MO-MAPF) algorithms…

人工智能 · 计算机科学 2025-10-14 Pulkit Rustagi , Kyle Hollins Wray , Sandhya Saisubramanian

The classic Resource Constrained Shortest Path (RCSP) problem aims to find a cost optimal path between a pair of nodes in a network such that the resources used in the path are within a given limit. Having been studied for over a decade,…

人工智能 · 计算机科学 2025-04-17 Saman Ahmadi , Andrea Raith , Guido Tack , Mahdi Jalili

We study the metric $s$-$t$ path Traveling Salesman Problem (TSP). [An, Kleinberg, and Shmoys, STOC 2012] improved on the long standing $\frac{5}{3}$-approximation factor and presented an algorithm that achieves an approximation factor of…

数据结构与算法 · 计算机科学 2015-03-17 Zhihan Gao

This paper proposes a two-phase framework to solve an optimal multi-target Lambert rendezvous problem. The first phase solves a series of single-target rendezvous problems for all departure-arrival object pairs to generate the elementary…

最优化与控制 · 数学 2018-02-21 Jun Bang , Jaemyung Ahn

This paper studies an extension of the rural postman problem with multiple depots and rechargeable and reusable vehicles capable of multiple trips with capacity constraints. This paper presents a new Mixed Integer Linear Programming (MILP)…

多智能体系统 · 计算机科学 2024-11-20 Eashwar Sathyamurthy , Jeffrey W. Herrmann , Shapour Azarm

In this paper we schedule the travel path of a set of drones across a graph where the nodes need to be visited multiple times at pre-defined points in time. This is an extension of the well-known multiple traveling salesman problem. The…

人工智能 · 计算机科学 2021-01-06 Emmanouil Rigas , Panayiotis Kolios , Georgios Ellinas

Multi-agent pathfinding (MAPF) is a problem that generally requires finding collision-free paths for multiple agents in a shared environment. Solving MAPF optimally, even under restrictive assumptions, is NP-hard, yet efficient solutions…

多智能体系统 · 计算机科学 2025-04-09 Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov , Alexey Skrynnik

The multi-agent path finding (MAPF) problem is a combinatorial search problem that aims at finding paths for multiple agents (e.g., robots) in an environment (e.g., an autonomous warehouse) such that no two agents collide with each other,…

人工智能 · 计算机科学 2020-08-11 Aysu Bogatarkan , Esra Erdem

Routing problems such as Hamiltonian Path Problem (HPP), seeks a path to visit all the vertices in a graph while minimizing the path cost. This paper studies a variant, HPP with Probabilistic Terminals (HPP-PT), where each vertex has a…

机器人学 · 计算机科学 2026-01-21 Yunpeng Lyu , Chao Cao , Ji Zhang , Howie Choset , Zhongqiang Ren

A new approach to the static route planning problem, based on a multi-staging concept and a \emph{scope} notion, is presented. The main goal (besides implied efficiency of planning) of our approach is to address---with a solid theoretical…

数据结构与算法 · 计算机科学 2011-11-16 Petr Hlineny , Ondrej Moris

The study addressed the problem of Anonymous Multi-Agent Path-finding (AMAPF). Unlike the classical formulation, where the assignment of agents to goals is fixed, in the anonymous MAPF setting it is irrelevant which agent reaches specific…

多智能体系统 · 计算机科学 2026-03-26 Stepan Dergachev , Dmitry Avdeev

Multi-Agent Path Finding (MAPF) is the problem of moving a team of agents to their goal locations without collisions. In this paper, we study the lifelong variant of MAPF, where agents are constantly engaged with new goal locations, such as…

人工智能 · 计算机科学 2021-03-15 Jiaoyang Li , Andrew Tinka , Scott Kiesel , Joseph W. Durham , T. K. Satish Kumar , Sven Koenig

In this paper, we develop Monte-Carlo based heuristic approaches to approximate the objective function in long horizon optimal control problems. In these approaches, to approximate the expectation operator in the objective function, we…

系统与控制 · 电气工程与系统科学 2020-09-17 Shankarachary Ragi , Hans D. Mittelmann

We present approximation algorithms for almost all variants of the multi-criteria traveling salesman problem (TSP). First, we devise randomized approximation algorithms for multi-criteria maximum traveling salesman problems (Max-TSP). For…

数据结构与算法 · 计算机科学 2011-07-14 Bodo Manthey

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

机器学习 · 计算机科学 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

Two multivehicle routing problems are considered in the framework that a visit to a location must take place during a specific time window in order to be counted and all time windows are the same length. In the first problem, the goal is to…

数据结构与算法 · 计算机科学 2011-01-21 Greg N. Frederickson , Barry Wittman

The Multi-Agent Path Finding (MAPF) problem aims to determine the shortest and collision-free paths for multiple agents in a known, potentially obstacle-ridden environment. It is the core challenge for robotic deployments in large-scale…

机器人学 · 计算机科学 2025-11-20 Shuhao Liao , Weihang Xia , Yuhong Cao , Weiheng Dai , Chengyang He , Wenjun Wu , Guillaume Sartoretti