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This paper deals with the Stochastic Capacitated Arc Routing Problem (SCARP), obtained by randomizing quantities on the arcs in the CARP. Optimization problems for the SCARP are characterized by decisions that are made without knowing their…

Neural and Evolutionary Computing · Computer Science 2022-11-24 Fleury Gérard , Lacomme Philippe , Christian Prins

This paper considers an extension of the vehicle routing problem with synchronization constraints and introduces the vehicle routing problem with multiple synchronization constraints and variable service time. This important problem is…

Optimization and Control · Mathematics 2023-08-29 Faisal Alkaabneh , Rabiatu Bonku

The capacitated arc routing problem (CARP) is a challenging combinatorial optimisation problem abstracted from many real-world applications, such as waste collection, road gritting and mail delivery. However, few studies considered dynamic…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Hao Tong , Leandro L. Minku , Stefan Menzel , Bernhard Sendhoff , Xin Yao

The Capacitated Arc Routing Problem (CARP) occurs in applications like urban waste collection or winter gritting. It is usually defined in literature on an undirected graph , with a set of nodes and a set of edges. A fleet of identical…

Optimization and Control · Mathematics 2022-11-15 Fleury Gérard , Lacomme Philippe , Prins Christian , Sevaux Marc

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…

Optimization and Control · Mathematics 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

In the classic Vehicle Routing Problem (VRP) a fleet of of vehicles has to visit a set of customers while minimising the operations' costs. We study a rich variant of the VRP featuring split deliveries, an heterogeneous fleet, and…

Artificial Intelligence · Computer Science 2016-12-07 Arthur Mahéo , Tommaso Urli , Philip Kilby

This work is motivated by solving a problem faced by big agriculture companies implementing precision agriculture operations for spraying practices using two types of operators, namely a tender tanker and a fleet of sprayers. We model this…

Optimization and Control · Mathematics 2023-12-18 Faisal Alkaabneh

We study the fair capacitated vehicle routing problem, in which a fleet of vehicles must serve a set of customers such that the difference between the longest and shortest route, the range, is minimized. A key challenge is that the range…

Optimization and Control · Mathematics 2026-04-28 Bart van Rossum , Rui Chen , Andrea Lodi

The Storage Location Assignment Problem (SLAP) and the Picker Routing Problem (PRP) have received significant attention in the literature due to their pivotal role in the performance of the Order Picking (OP) activity, the most…

Discrete Mathematics · Computer Science 2024-07-19 Thibault Prunet , Nabil Absi , Diego Cattaruzza

A method for harvest planning based on the coupling of crop assignment with vehicle routing is presented. Given a setting with multiple fields, a path network connecting these, multiple depots at which a number of harvesters are initially…

Systems and Control · Computer Science 2019-07-25 Mogens Graf Plessen

Due to its direct relevance to post-disaster operations, meter reading and civil refuse collection, the Uncertain Capacitated Arc Routing Problem (UCARP) is an important optimisation problem. Stochastic models are critical to study as they…

Neural and Evolutionary Computing · Computer Science 2019-11-21 Jordan MacLachlan , Yi Mei , Juergen Branke , Mengjie Zhang

The Hierarchical Directed Capacitated Arc Routing Problem (HDCARP) is an extension of the Capacitated Arc Routing Problem (CARP), where the arcs of a graph are divided into classes based on their priority. The traversal of these classes is…

Machine Learning · Computer Science 2025-01-03 Van Quang Nguyen , Quoc Chuong Nguyen , Thu Huong Dang , Truong-Son Hy

Resource allocation problems in which demand is splittable are usually solved using different solution methods from their unsplittable equivalents. Although splittable problem instances can be the easier of the two (for example, they might…

Data Structures and Algorithms · Computer Science 2025-05-16 Bo Jones , Julien Yu , John Gunnar Carlsson

Vehicle routing algorithms usually reformulate the road network into a complete graph in which each arc represents the shortest path between two locations. Studies on time-dependent routing followed this model and therefore defined the…

Data Structures and Algorithms · Computer Science 2020-05-01 Thibaut Vidal , Rafael Martinelli , Tuan Anh Pham , Minh Hoàng Hà

We introduce the Vehicle Routing Problem with Resource-Constrained Pickup and Delivery (VRP-RPD), where vehicles transport finite identical resources to customer locations for autonomous processing before retrieval and redeployment. Unlike…

Optimization and Control · Mathematics 2026-03-27 Manbir Sodhi , Romesh Prasad , Harishjitu Saseendran

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 split delivery vehicle routing problem (SDVRP) is a relaxed variant of the capacitated vehicle routing problem (CVRP) where the restriction that each customer is visited precisely once is removed. Compared with CVRP, the SDVRP allows a…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Nariman Torkzaban , Anousheh Gholami , John S. Baras , Bruce Golden

Different types of formulations are proposed in the literature to model vehicle routing problems. Currently, the most used ones can be fitted into two classes, namely vehicle flow formulations and set partitioning formulations. These types…

Optimization and Control · Mathematics 2017-09-19 Pedro Munari , Twan Dollevoet , Remy Spliet

Fugitive road dust (FRD), as one of the major pollutants in the city, poses great harm to the environment and the physical health of citizens. A common countermeasure adopted by government agencies is employing on-road water trucks…

Optimization and Control · Mathematics 2024-04-17 Hongtai Yang , Luna Liu , Ke Han , Boyi Lei

We study the vehicle routing problem with stochastic demands (VRPSD), an important variant of the classical capacitated vehicle routing problem in which customer demands are modeled as random variables. We develop the first algorithm for…

Optimization and Control · Mathematics 2026-04-15 Matheus J. Ota , Ricardo Fukasawa
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