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相关论文: A PTAS for Capacitated Vehicle Routing on Trees

200 篇论文

We study the problem of routing vehicles with energy constraints through a network where there are at least some charging nodes. We seek to minimize the total elapsed time for vehicles to reach their destinations by determining routes as…

最优化与控制 · 数学 2014-01-28 Tao Wang , Christos G. Cassandras , Sepideh Pourazarm

Learning to solve combinatorial optimization problems, such as the vehicle routing problem, offers great computational advantages over classical operations research solvers and heuristics. The recently developed deep reinforcement learning…

机器学习 · 计算机科学 2022-01-06 Daniela Thyssens , Jonas Falkner , Lars Schmidt-Thieme

This paper presents a novel algorithm for robot task and motion planning (TAMP) problems by utilizing a reachability tree. While tree-based algorithms are known for their speed and simplicity in motion planning (MP), they are not…

机器人学 · 计算机科学 2024-01-15 Kanghyun Kim , Daehyung Park , Min Jun Kim

We study classic scheduling problems on uniformly related machines. Efficient polynomial time approximation schemes (EPTAS's) are fast and practical approximation schemes. New methods and techniques are essential in developing such improved…

数据结构与算法 · 计算机科学 2014-04-04 Leah Epstein , Asaf Levin

This paper deals with the Pollution-Routing Problem (PRP), a Vehicle Routing Problem (VRP) with environmental considerations, recently introduced in the literature by [Bektas and Laporte (2011), Transport. Res. B-Meth. 45 (8), 1232-1250].…

数据结构与算法 · 计算机科学 2014-04-22 Raphael Kramer , Anand Subramanian , Thibaut Vidal , Lucídio dos Anjos Formiga Cabral

We consider vehicle-routing problems (VRPs) that incorporate the notion of {\em regret} of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the…

数据结构与算法 · 计算机科学 2013-11-26 Zachary Friggstad , Chaitanya Swamy

In this paper, we evaluate the use of Reinforcement Learning (RL) to solve a classic combinatorial optimization problem: the Capacitated Vehicle Routing Problem (CVRP). We formalize this problem in the RL framework and compare two of the…

人工智能 · 计算机科学 2022-01-17 Leo Ardon

Combinatorial optimization (CO) problems are traditionally addressed using Operations Research (OR) methods, including metaheuristics. In this study, we introduce a demand selection problem for the Vehicle Routing Problem (VRP) with an…

数据结构与算法 · 计算机科学 2025-05-27 Farid Najar , Dominique Barth , Yann Strozecki

The Dynamic Vehicle Routing Problem with Time Windows (DVRPTW) is an extension of the well-known Vehicle Routing Problem (VRP), which takes into account the dynamic nature of the problem. This aspect requires the vehicle routes to be…

神经与进化计算 · 计算机科学 2017-04-07 Raluca Necula , Mihaela Breaban , Madalina Raschip

The Multi-Commodity Pickup and Delivery Vehicle Routing Problem aims to optimize the pickup and delivery of multiple unique commodities using a fleet of several agents with limited payload capacities. This paper addresses the challenge of…

系统与控制 · 电气工程与系统科学 2024-07-30 Mithun Goutham , Stephanie Stockar

The compactness of routes in distribution plans is a criterion that has not been sufficiently explored in the literature related to logistics distribution but has shown to have a significant impact on the practical implementation of routing…

最优化与控制 · 数学 2024-05-02 Diego Rossit , Adrián Toncovich

This paper studies a variant of the Set Covering Routing Problem (SCRP) motivated by post-disaster humanitarian logistics. We consider a hybrid distribution concept in which the majority of transportation is performed by helicopters, while…

最优化与控制 · 数学 2026-05-05 Andreas Hagn , Jan Krause , Moritz Stargalla , Lorenza Moreno

In this paper, we consider Steiner forest and its generalizations, prize-collecting Steiner forest and k-Steiner forest, when the vertices of the input graph are points in the Euclidean plane and the lengths are Euclidean distances. First,…

数据结构与算法 · 计算机科学 2009-12-08 MohammadHossein Bateni , MohammadTaghi Hajiaghayi

The Replenishment Storage problem (RSP) is to minimize the storage capacity requirement for a deterministic demand, multi-item inventory system where each item has a given reorder size and cycle length. The reorders can only take place at…

数据结构与算法 · 计算机科学 2020-10-06 Dorit S. Hochbaum , Xu Rao

We study a location-routing problem in the context of capacitated vehicle routing. The input is a set of demand locations in a metric space and a fleet of k vehicles each of capacity Q. The objective is to locate k depots, one for each…

数据结构与算法 · 计算机科学 2011-03-08 Inge Li Goertz , Viswanath Nagarajan

We achieve a (randomized) polynomial-time approximation scheme (PTAS) for the Steiner Forest Problem in doubling metrics. Before our work, a PTAS is given only for the Euclidean plane in [FOCS 2008: Borradaile, Klein and Mathieu]. Our PTAS…

数据结构与算法 · 计算机科学 2016-08-24 T-H. Hubert Chan , Shuguang Hu , Shaofeng H. -C. Jiang

The growing aging population has significantly increased demand for efficient home health care (HHC) services. This study introduces a Vehicle Routing and Appointment Scheduling Problem (VRASP) to simultaneously optimize caregiver routes…

最优化与控制 · 数学 2025-05-28 Yi Zhang , Zhenzhen Zhang

The multi-vehicle covering tour problem with time windows (MCTPTW) aims to construct a set of maximal coverage routes for a fleet of vehicles that serve (observe) a secondary set of sites given a fixed time schedule, coverage requirements,…

最优化与控制 · 数学 2021-05-12 Joshua T. Margolis , Yongjia Song , Scott J. Mason

This paper studies a variant of the Set Covering Routing Problem (SCRP) motivated by post-disaster humanitarian logistics. We consider a hybrid distribution concept in which the majority of transportation is performed by helicopters, while…

最优化与控制 · 数学 2026-05-05 Andreas Hagn , Jan Krause , Moritz Stargalla , Lorenza Moreno

In many applications of vehicle routing, a set of time windows are feasible for each visit, giving rise to the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). We argue that such disjunctions are problematic for many solution…

最优化与控制 · 数学 2019-05-13 Rune Larsen , Dario Pacino