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The capacitated vehicle routing problem (CVRP) is one of the most extensively studied problems in combinatorial optimization. In this problem, we are given a depot and a set of customers, each with a demand, embedded in a metric space. The…

Data Structures and Algorithms · Computer Science 2026-01-30 Jingyang Zhao , Mingyu Xiao

The use of trucks and drones as a solution to address last-mile delivery challenges is a new and promising research direction explored in this paper. The variation of the problem where the drone can intercept the truck while in movement or…

Artificial Intelligence · Computer Science 2024-09-24 Carlos Pambo , Jacomine Grobler

In this paper, we present improved approximation algorithms for the (unsplittable) Capacitated Vehicle Routing Problem (CVRP) in general metrics. In CVRP, introduced by Dantzig and Ramser (1959), we are given a set of points (clients) $V$…

Data Structures and Algorithms · Computer Science 2021-11-17 Zachary Friggstad , Ramin Mousavi , Mirmahdi Rahgoshay , Mohammad R. Salavatipour

Recently, a higher competition in logistics business introduces new challenges to the vehicle routing problem (VRP). Re-route planning, also known as dynamic VRP, is one of the important challenges. The re-route planning has to be performed…

Artificial Intelligence · Computer Science 2019-08-22 Suttinee Sawadsitang , Dusit Niyato , Kongrath Suankaewmanee , Puay Siew Tan

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…

Data Structures and Algorithms · Computer Science 2013-11-26 Zachary Friggstad , Chaitanya Swamy

The Capacitated Vehicle Routing problem is to find a minimum-cost set of tours that collectively cover clients in a graph, such that each tour starts and ends at a specified depot and is subject to a capacity bound on the number of clients…

Data Structures and Algorithms · Computer Science 2019-01-23 Amariah Becker , Philip N. Klein , Aaron Schild

Vehicle Routing Problem with Private fleet and common Carrier (VRPPC) has been proposed to help a supplier manage package delivery services from a single depot to multiple customers. Most of the existing VRPPC works consider deterministic…

Artificial Intelligence · Computer Science 2018-05-21 Suttinee Sawadsitang , Siwei Jiang , Dusit Niyato , Ping Wang

With an increasing demand from emerging logistics businesses, Vehicle Routing Problem with Private fleet and common Carrier (VRPPC) has been introduced to manage package delivery services from a supplier to customers. However, almost all of…

Artificial Intelligence · Computer Science 2018-02-26 Suttinee Sawadsitang , Rakpong Kaewpuang , Siwei Jiang , Dusit Niyato , Ping Wang

We consider the a priori traveling repairman problem, which is a stochastic version of the classic traveling repairman problem (also called the traveling deliveryman or minimum latency problem). Given a metric $(V,d)$ with a root $r\in V$,…

Data Structures and Algorithms · Computer Science 2019-01-23 Inge Li Gørtz , Viswanath Nagarajan , Fatemeh Navidi

We introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the literature. Nodes with capacity for storing a certain commodity…

Data Structures and Algorithms · Computer Science 2017-12-15 Thomas Bosman , Martijn van Ee , Yang Jiao , Alberto Marchetti-Spaccamela , R. Ravi , Leen Stougie

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…

Data Structures and Algorithms · Computer Science 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

The Vehicle Fleet Sizing, Positioning and Routing Problem with Stochastic Customers (VFSPRP-SC) consists on pairing strategic decisions of depot positioning and fleet sizing with operational vehicle routing decisions while taking into…

Optimization and Control · Mathematics 2021-09-21 David Corredor-Montenegro , Maria Jose Consuegra-Laino , Alfaima Lucía Solano-Blanco , Camilo Gómez

We study the unit-demand capacitated vehicle routing problem in the random setting of the Euclidean plane. The objective is to visit $n$ random terminals in a square using a set of tours of minimum total length, such that each tour visits…

Data Structures and Algorithms · Computer Science 2023-04-25 Zipei Nie , Hang Zhou

We study the classic Vehicle Routing Problem in the setting of stochastic optimization with recourse. StochVRP is a two-stage optimization problem, where demand is satisfied using two routes: fixed and recourse. The fixed route is computed…

Data Structures and Algorithms · Computer Science 2012-03-02 Inge Li Goertz , Viswanath Nagarajan , Rishi Saket

We present an end-to-end framework for solving the Vehicle Routing Problem (VRP) using reinforcement learning. In this approach, we train a single model that finds near-optimal solutions for problem instances sampled from a given…

Artificial Intelligence · Computer Science 2018-05-23 Mohammadreza Nazari , Afshin Oroojlooy , Lawrence V. Snyder , Martin Takáč

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…

Optimization and Control · Mathematics 2025-12-11 Paolo Beatrici , Sebastian Birolini , Francesca Maggioni , Paolo Malighetti

Routing problems are often faced by companies who serve costumers through vehicles. Such problems have a challenging structure to optimize, despite the recent advances in combinatorial optimization. The goal of this project is to study and…

Neural and Evolutionary Computing · Computer Science 2018-09-03 Felipe F. Müller , Luis A. A. Meira

We consider the P2P orienteering problem on general metrics and present a (2+{\epsilon}) approximation algorithm. In the stochastic P2P orienteering problem we are given a metric and each node has a fixed reward and random size. The goal is…

Data Structures and Algorithms · Computer Science 2015-01-27 Shalabh Vidyarthi , Kaushal K Shukla

In the unsplittable capacitated vehicle routing problem, we are given a metric space with a vertex called depot and a set of vertices called terminals. Each terminal is associated with a positive demand between 0 and 1. The goal is to find…

Data Structures and Algorithms · Computer Science 2022-09-14 Fabrizio Grandoni , Claire Mathieu , Hang Zhou