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Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

最优化与控制 · 数学 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

We consider several Vehicle Routing Problems (VRP) with profits, which seek to select a subset of customers, each one being associated with a profit, and to design service itineraries. When the sum of profits is maximized under distance…

数据结构与算法 · 计算机科学 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

We study the airplane refueling problem which was introduced by the physicists Gamow and Stern in their classical book Puzzle-Math (1958). Sticking to the original story behind this problem, suppose we have to deliver a bomb in some distant…

数据结构与算法 · 计算机科学 2015-12-22 Iftah Gamzu , Danny Segev

Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

离散数学 · 计算机科学 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

VRP (Vehicle Routing Problem) is an NP hard problem, and it has attracted a lot of research interest. In contexts where vehicles have limited carrying capacity, such as volume and weight but needed to deliver items at various locations.…

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

Ride-pooling services, such as UberPool and Lyft Shared Saver, enable a single vehicle to serve multiple customers within one shared trip. Efficient path-planning algorithms are crucial for improving the performance of such systems. For…

系统与控制 · 电气工程与系统科学 2025-06-06 Pengbo Zhu , Giancarlo Ferrari-Trecate , Nikolas Geroliminis

Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

计算机科学与博弈论 · 计算机科学 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

This paper investigates the scheduling problem of a fleet of electric vehicles, providing mobility as a service to a set of time-specified customers, where the operator needs to solve the routing and charging problem jointly for each EV.…

最优化与控制 · 数学 2022-05-27 Canqi Yao , Shibo Chen , Mauro Salazar , Zaiyue Yang

We consider the problem of finding patrol schedules for $k$ robots to visit a given set of $n$ sites in a metric space. Each robot has the same maximum speed and the goal is to minimize the weighted maximum latency of any site, where the…

We study the complexity of the classic capacitated k-median and k-means problems parameterized by the number of centers, k. These problems are notoriously difficult since the best known approximation bound for high dimensional Euclidean…

数据结构与算法 · 计算机科学 2022-08-31 Vincent Cohen-Addad , Jason Li

Combinatorial optimization problems have attracted much interest in the quantum computing community in the recent years as a potential testbed to showcase quantum advantage. In this paper, we show how to exploit multilevel carriers of…

量子物理 · 物理学 2024-07-03 M. Garcia de Andoin , A. Bottarelli , S. Schmitt , I. Oregi , P. Hauke , M. Sanz

Truck platooning, a linking technology of trucks on the highway, has gained enormous attention in recent years due to its benefits in energy and operation cost savings. However, most existing studies on truck platooning limit their focus on…

最优化与控制 · 数学 2024-04-23 Yilang Hao , Zhibin Chen , Xiaotong Sun , Lu Tong

We study clustering problems such as k-Median, k-Means, and Facility Location in graphs of low highway dimension, which is a graph parameter modeling transportation networks. It was previously shown that approximation schemes for these…

数据结构与算法 · 计算机科学 2021-06-01 Andreas Emil Feldmann , David Saulpic

We introduce a fast, quasi-linear-time heuristic for the Close-Enough Traveling Salesman Problem (CETSP), a continuous generalization of the Euclidean TSP in which each target is a disk that must be intersected. The method adapts the…

计算几何 · 计算机科学 2026-04-07 Khoi Duong

We formulate a global-position colored-permutation encoding for the capacitated vehicle routing problem. Each of the $K$ vehicles selects a disjoint partial permutation, and the sum of these $K$ color layers forms a full $n\times n$…

量子物理 · 物理学 2026-05-05 Chinonso Onah , Kristel Michielsen

Two-echelon distribution systems are attractive from an economical standpoint and help to keep large vehicles out of city centers. Large trucks can be used to deliver goods to intermediate facilities in accessible locations, whereas smaller…

数据结构与算法 · 计算机科学 2018-11-16 Ulrich Breunig , Roberto Baldacci , Richard F. Hartl , Thibaut Vidal

We give the first constant-factor approximation for the Directed Latency problem in quasi-polynomial time. Here, the goal is to visit all nodes in an asymmetric metric with a single vehicle starting at a depot $r$ to minimize the average…

数据结构与算法 · 计算机科学 2020-04-17 Zachary Friggstad , Chaitanya Swamy

We study the problem of finding a tour of $n$ points in which every edge is long. More precisely, we wish to find a tour that visits every point exactly once, maximizing the length of the shortest edge in the tour. The problem is known as…

数据结构与算法 · 计算机科学 2016-06-29 László Kozma , Tobias Mömke

Oblivious routing is an attractive paradigm for large distributed systems in which centralized control and frequent reconfigurations are infeasible or undesired (e.g., costly). Over the last almost 20 years, much progress has been made in…

网络与互联网体系结构 · 计算机科学 2018-12-27 Harald Räcke , Stefan Schmid