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Existing neural methods for the Travelling Salesman Problem (TSP) mostly aim at finding a single optimal solution. To discover diverse yet high-quality solutions for Multi-Solution TSP (MSTSP), we propose a novel deep reinforcement learning…

机器学习 · 计算机科学 2025-01-03 Qi Li , Zhiguang Cao , Yining Ma , Yaoxin Wu , Yue-Jiao Gong

Mobility-on-demand systems are transforming the way we think about the transportation of people and goods. Most research effort has been placed on scalability issues for systems with a large number of agents and simple pick-up/drop-off…

形式语言与自动机理论 · 计算机科学 2022-08-15 Kaier Liang , Cristian-Ioan Vasile

The multiple Traveling Salesmen Problem (mTSP) is a general extension of the famous NP-hard Traveling Salesmen Problem (TSP), that there are m (m > 1) salesmen to visit the cities. In this paper, we address the mTSP with both the minsum…

人工智能 · 计算机科学 2022-03-01 Jiongzhi Zheng , Yawei Hong , Wenchang Xu , Wentao Li , Yongfu Chen

The vehicle routing problem is a well known class of NP-hard combinatorial optimisation problems in literature. Traditional solution methods involve either carefully designed heuristics, or time-consuming metaheuristics. Recent work in…

人工智能 · 计算机科学 2022-06-15 Harshad Khadilkar

We study a fundamental NP-hard motion coordination problem for multi-robot/multi-agent systems: We are given a graph $G$ and set of agents, where each agent has a given directed path in $G$. Each agent is initially located on the first…

机器人学 · 计算机科学 2023-03-02 Mikkel Abrahamsen , Tzvika Geft , Dan Halperin , Barak Ugav

The ridesharing problem is that given a set of trips, each trip consists of an individual, a vehicle of the individual and some requirements, select a subset of trips and use the vehicles of selected trips to deliver all individuals to…

数据结构与算法 · 计算机科学 2021-06-01 Qian-Ping Gu , Jiajian Leo Liang , Guochuan Zhang

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

Complex scheduling problems require a large amount computation power and innovative solution methods. The objective of this paper is the conception and implementation of a multi-agent system that is applicable in various problem domains.…

多智能体系统 · 计算机科学 2020-04-21 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

In this paper, a heuristic for a heterogeneous min-max multi-vehicle multi-depot traveling salesman problem is proposed, wherein heterogeneous vehicles start from given depot locations and need to cover a given set of targets. In the…

最优化与控制 · 数学 2024-11-01 Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl

A fundamental variant of the classical traveling salesman problem (TSP) is the so-called multiple TSP (mTSP), where a set of $m$ salesmen jointly visit all cities from a set of $n$ cities. The mTSP models many important real-life…

离散数学 · 计算机科学 2022-01-07 Kristóf Bérczi , Matthias Mnich , Roland Vincze

The worldwide growth of e-commerce has created new challenges for logistics companies, one of which is being able to deliver products quickly and at low cost, which reflects directly in the way of sorting packages, needing to eliminate…

This paper investigates a novel type of driver routing and scheduling problem motivated by a practical application in long-distance bus networks. A key difference from other crew scheduling problems is that drivers can be exchanged between…

最优化与控制 · 数学 2023-12-05 Pia Ammann , Rainer Kolisch , Maximilian Schiffer

The famous Travelling Salesman Problem (TSP) is an important category of optimization problems that is mostly encountered in various areas of science and engineering. Studying optimization problems motivates to develop advanced techniques…

量子物理 · 物理学 2018-05-29 Karthik Srinivasan , Saipriya Satyajit , Bikash K. Behera , Prasanta K. Panigrahi

Logistics has gained great attentions with the prosperous development of commerce, which is often seen as the classic optimal vehicle routing problem. Meanwhile, electric vehicle (EV) has been widely used in logistic fleet to curb the…

最优化与控制 · 数学 2021-09-14 Canqi Yao , Shibo Chen , Zaiyue Yang

A rich vehicle routing problem is considered, allowing multiple trips of heterogeneous vehicles stationed at geographically distributed vehicle depots having access to different modes of transportation. The problem arises from the…

最优化与控制 · 数学 2025-09-18 Santanu Banerjee , Goutam Sen , Siddhartha Mukhopadhyay

This paper explores the possibility of near-optimally solving multi-agent, multi-task NP-hard planning problems with time-dependent rewards using a learning-based algorithm. In particular, we consider a class of robot/machine scheduling…

机器学习 · 计算机科学 2023-08-15 Hyunwook Kang , Taehwan Kwon , Jinkyoo Park , James R. Morrison

The inefficiency of the Wardrop equilibrium of nonatomic routing games can be eliminated by placing tolls on the edges of a network so that the socially optimal flow is induced as an equilibrium flow. A solution where the minimum number of…

计算机科学与博弈论 · 计算机科学 2015-09-29 Soumya Basu , Thanasis Lianeas , Evdokia Nikolova

In the Traveling Salesman Problem (TSP), a list of cities and the distances between them are given. The goal is to find the shortest possible route that visits each city exactly once and returns to the original city. The TSP has a wide…

最优化与控制 · 数学 2019-06-17 Johnny Seay , Edwin Gonzalez , Stephen Lowe , Jesse Crawford , Bryant Wyatt

We introduce and study the multi-agent stochastic shortest path (MSSP) problem, in which $k$ agents strive to reach a target state, aiming to minimize the expected time to reach the target by any agent. We analyze the computational and…

多智能体系统 · 计算机科学 2026-05-08 Martin Jonáš , Antonín Kučera , Vojtěch Kůr , Jan Mačák , Vojtěch Řehák

The travelling salesman problem (TSP) is a popular NP-hard-combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different cities once and return to the initial city. The existing methods…

量子物理 · 物理学 2026-01-28 Kapil Goswami , Gagan Anekonda Veereshi , Peter Schmelcher , Rick Mukherjee