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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

We study a new variant of the well-studied Vehicle Routing Problem with Time Windows (VRPTW), called the fragility-constrained VRPTW, which assumes that 1) the capacity of a vehicle is organized in multiple identical stacks; 2) all items…

Optimization and Control · Mathematics 2021-09-07 Clément Altman , Guy Desaulniers , Fausto Errico

This paper investigates the integration of machine learning forecasts of intervention durations into a stochastic variant of the Capacitated Vehicle Routing Problem with Time Windows (CVRPTW). In particular, we exploit tree-based gradient…

Optimization and Control · Mathematics 2026-01-13 Matteo Garbelli

We consider variants of the restricted assignment problem where a set of jobs has to be assigned to a set of machines, for each job a size and a set of eligible machines is given, and the jobs may only be assigned to eligible machines with…

Data Structures and Algorithms · Computer Science 2022-03-14 Marten Maack , Simon Pukrop , Anna Rodriguez Rasmussen

We present randomized approximation algorithms for multi-criteria Max-TSP. For Max-STSP with k > 1 objective functions, we obtain an approximation ratio of $1/k - \eps$ for arbitrarily small $\eps > 0$. For Max-ATSP with k objective…

Data Structures and Algorithms · Computer Science 2008-12-18 Markus Bläser , Bodo Manthey , Oliver Putz

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

We study the demand-robust fleet size vehicle routing problem with time windows and compatibility constraints. Unlike traditional robust optimization, which considers uncertainty in the data, demand-robust optimization considers uncertainty…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Jordan Makansi

This paper demonstrates the applicability of the Quantum Walk-based Optimisation Algorithm(QWOA) to the Capacitated Vehicle Routing Problem (CVRP). Efficient algorithms are developedfor the indexing and unindexing of the solution space and…

Quantum Physics · Physics 2021-10-01 Tavis Bennett , Edric Matwiejew , Sam Marsh , Jingbo B. Wang

The energy transition in transportation benefits from demand-based models to determine the optimal placement of refueling stations for alternative fuel vehicles such as battery electric trucks. A formulation known as the refueling station…

Optimization and Control · Mathematics 2023-10-10 Nicholas Nordlund , Leandros Tassiulas , Jan-Hendrik Lange

The paper addresses Capacitated Vehicle Routing Problem (CVRP) in the context of fuel delivery to gas stations. The CVRP aims to minimize total travel distance for a fleet with limited capacity. Fuel delivery, however, introduces unique…

Optimization and Control · Mathematics 2024-12-13 Vitalii Naumov

In container terminal yards, the Container Rehandling Problem (CRP) involves rearranging containers between stacks under specific operational rules, and it is a pivotal optimization challenge in intelligent container scheduling systems.…

Artificial Intelligence · Computer Science 2025-04-22 Ruoqi Wang , Jiawei Li

In this paper we present distributed and adaptive algorithms for motion coordination of a group of m autonomous vehicles. The vehicles operate in a convex environment with bounded velocity and must service demands whose time of arrival,…

Robotics · Computer Science 2016-11-17 Marco Pavone , Emilio Frazzoli , Francesco Bullo

Simultaneous multi vibroseis vehicle operations are central to modern land seismic exploration and can be modeled as a Vehicle Routing Problem (VRP). A critical distinction from classical VRPs, however, is the need for a minimum start-time…

Optimization and Control · Mathematics 2025-08-11 Kexin Zhu , Jialong Shi , Jianyong Sun , Heng Zhou , Mingen Kuang , Ye Fan

This paper introduces a novel control strategy to optimize urban network traffic in mixed autonomy settings, featuring Connected and Automated Vehicles (CAVs) alongside Human-Driven Vehicles (HDVs). Unlike previous control strategies, where…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Muhammad Haris , Claudio Roncoli

Despite the extensive research efforts and the remarkable results obtained on Vehicle Routing Problems (VRP) by using algorithms proposed by the Machine Learning community that are partially or entirely based on data-driven analysis, most…

Machine Learning · Computer Science 2021-09-30 Luca Accorsi , Andrea Lodi , Daniele Vigo

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…

Data Structures and Algorithms · Computer Science 2025-05-27 Farid Najar , Dominique Barth , Yann Strozecki

Computing approximate Karush--Kuhn--Tucker (KKT) points for constrained nonconvex programs is a fundamental problem in mathematical programming. Interior-point trust-region (IPTR) methods are particularly attractive for such problems…

Data Structures and Algorithms · Computer Science 2026-04-28 Yuexin Su , Chenyi Zhang , Peiyuan Huang , Tongyang Li , Yinyu Ye

Graph routing problems play a vital role in web-related networks, where finding optimal paths across graphs is essential for efficient data transmission and content delivery. Classic routing formulations such as the Traveling Salesman…

Machine Learning · Computer Science 2025-10-13 Shiyan Liu , Bohan Tan , Zhiguang Cao , Yan Jin

The Clustered Vehicle Routing Problem (CluVRP) is a variant of the Capacitated Vehicle Routing Problem in which customers are grouped into clusters. Each cluster has to be visited once, and a vehicle entering a cluster cannot leave it until…

Artificial Intelligence · Computer Science 2014-04-29 Thibaut Vidal , Maria Battarra , Anand Subramanian , Güneş Erdoǧan

Branch-price-and-cut algorithms play an important role in solving many vehicle routing problems (VRPs). Adding valid inequalities in this framework can impact the pricing subproblem, for which the literature distinguishes between 'robust'…

Optimization and Control · Mathematics 2025-08-20 Ymro N. Hoogendoorn , Kevin Dalmeijer
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