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This paper considers theoretical solutions for path planning problems under non-probabilistic uncertainty used in the travel salesman problems under uncertainty. The uncertainty is on the paths between the cities as nodes in a travelling…

最优化与控制 · 数学 2022-12-06 Keivan Shariatmadar

This study explores the problem of Multi-Agent Path Finding with continuous and stochastic travel times whose probability distribution is unknown. Our purpose is to manage a group of automated robots that provide package delivery services…

机器人学 · 计算机科学 2023-02-06 Atsuyoshi Kita , Nobuhiro Suenari , Masashi Okada , Tadahiro Taniguchi

Routing problems are optimization problems that consider a set of goals in a graph to be visited by a vehicle (or a fleet of them) in an optimal way, while numerous constraints have to be satisfied. We present a solution based on…

机器人学 · 计算机科学 2017-08-01 Miroslav Kulich , Roman Sushkov , Libor Přeučil

We study the strategic decision-making problem of assigning time windows to customers in the context of vehicle routing applications that are affected by operational uncertainty. This problem, known as the Time Window Assignment Vehicle…

最优化与控制 · 数学 2018-10-11 Anirudh Subramanyam , Akang Wang , Chrysanthos E. Gounaris

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

数据结构与算法 · 计算机科学 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

The Traveling Salesman Problem (TSP) is a well-known NP-hard combinatorial optimization problem with wide-ranging applications in logistics, routing, and intelligent systems. Due to its factorial complexity, solving large-scale instances…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Rabab Alkhalifa , Fatima Alkhomayes , Boushra Almazroua , Dana Alhaidan , Maryam Alothman , Jumana Almuhaidib

In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

机器人学 · 计算机科学 2007-05-23 Ketan Savla , Francesco Bullo , Emilio Frazzoli

The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

数据结构与算法 · 计算机科学 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

We present a new and more efficient technique for computing the route that maximizes the probability of on-time arrival in stochastic networks, also known as the path-based stochastic on-time arrival (SOTA) problem. Our primary contribution…

数据结构与算法 · 计算机科学 2016-10-07 Mehrdad Niknami , Samitha Samaranayake

In this paper, we address the joint optimization of fleet size and mix, along with vehicle routing, under uncertain customer demand. We propose a two-stage stochastic mixed-integer programming model, where first-stage decisions concern the…

最优化与控制 · 数学 2025-12-11 Paolo Beatrici , Sebastian Birolini , Francesca Maggioni , Paolo Malighetti

Motivated by the tactical planning level of demand adaptive public transportation systems, we present the stochastic symmetric traveling salesman problem with generalized latency (STSP-GL), a stochastic extension to the symmetric traveling…

最优化与控制 · 数学 2023-11-17 Benedikt Lienkamp , Mike Hewitt , Maximilian Schiffer

Existing neural constructive solvers for routing problems have predominantly employed transformer architectures, conceptualizing the route construction as a set-to-sequence learning task. However, their efficacy has primarily been…

机器学习 · 计算机科学 2024-08-08 Yong Liang Goh , Zhiguang Cao , Yining Ma , Yanfei Dong , Mohammed Haroon Dupty , Wee Sun Lee

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

系统与控制 · 电气工程与系统科学 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

This work addresses the problem of vehicle path planning in the presence of obstacles and uncertainties, which is a fundamental problem in robotics. While many path planning algorithms have been proposed for decades, many of them have dealt…

最优化与控制 · 数学 2018-09-11 Kazuhide Okamoto , Panagiotis Tsiotras

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

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

This paper presents a model for a vehicle routing problem in which customer demands are stochastic and vehicles are divided into compartments. The problem is motivated by the needs of certain agricultural cooperatives that produce various…

最优化与控制 · 数学 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

Surveillance applications require a collection of heterogeneous vehicles to visit a set of targets. In this article, we consider a fundamental routing problem that arises in these applications involving two vehicles. Specifically, we…

离散数学 · 计算机科学 2015-03-19 Jungyun Bae , Sivakumar Rathinam

The Traveling Salesperson problem asks for the shortest cyclic tour visiting a set of cities given their pairwise distances and belongs to the NP-hard complexity class, which means that with all known algorithms in the worst case instances…

无序系统与神经网络 · 物理学 2016-10-18 Hendrik Schawe , Alexander K. Hartmann

In this paper, we provide a novel strategy for solving Traveling Salesman Problem, which is a famous combinatorial optimization problem studied intensely in the TCS community. In particular, we consider the imitation learning framework,…

机器学习 · 计算机科学 2022-10-13 Pingbang Hu
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