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In this letter, we consider a transportation network with a 100\% penetration rate of connected and automated vehicles (CAVs) and present an optimal routing approach that takes into account the efficiency achieved in the network by…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Heeseung Bang , Behdad Chalaki , Andreas A. Malikopoulos

We prove that any polynomial-time $\alpha(n)$-approximation algorithm for the $n$-vertex metric asymmetric Traveling Salesperson Problem yields a polynomial-time $O(\alpha(C))$-approximation algorithm for the mixed and windy Capacitated Arc…

Data Structures and Algorithms · Computer Science 2019-11-14 René van Bevern , Christian Komusiewicz , Manuel Sorge

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

Motivated by multi-domain service function chain (SFC) orchestration, we define the shortest-longest path (SLP) problem, prove its hardness, and design an efficient fully polynomial time approximation scheme (FPTAS) using the dynamic…

Networking and Internet Architecture · Computer Science 2025-02-11 Jianwei Zhang

In this paper, we propose a re-routing strategy for connected and automated vehicles (CAVs), considering coordination and control of all the CAVs in the network. The objective for each CAV is to find the route that minimizes the total…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Heeseung Bang , Andreas A. Malikopoulos

Dynamic vehicle routing problems (DVRPs) arise in several applications such as technician routing, meal delivery, and parcel shipping. We consider the DVRP with stochastic customer requests (DVRPSR), in which vehicles must be routed…

Optimization and Control · Mathematics 2022-08-16 Jian Zhang , Kelin Luo , Alexandre M. Florio , Tom Van Woensel

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 investigates the multi-compartment vehicle routing problem with multiple time windows (MCVRPMTW), an extension of the classical vehicle routing problem with time windows that considers vehicles equipped with multiple compartments…

Optimization and Control · Mathematics 2026-01-23 El Mehdi Er Raqabi , Kevin Dalmeijer , Pascal Van Hentenryck

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

The increasing use of electric vehicles (EVs) requires efficient route planning solutions that take into account the limited range of EVs and the associated charging times, as well as the different types of charging stations. In this work,…

Systems and Control · Electrical Eng. & Systems 2025-12-29 Dominik Köster , Florian Porkert , Klaus Volbert

This study presents a novel approach to the vehicle routing problem by focusing on greenhouse gas emissions and fuel consumption aiming to mitigate adverse environmental effects of transportation. A time-dependent model with time windows is…

Optimization and Control · Mathematics 2017-09-19 Iman Kazemian , Samin Aref

In most Swiss municipalities, a curbside system consisting of heavy trucks stopping at almost each household is used for non-recoverable waste collection. Due to the many stops of the trucks, this strategy causes high fuel consumption,…

Optimization and Control · Mathematics 2022-09-09 V. Fischer , M. Pacheco Paneque , A. Legrain , R. Bürgy

Value-function-based methods have long played an important role in reinforcement learning. However, finding the best next action given a value function of arbitrary complexity is nontrivial when the action space is too large for…

Machine Learning · Computer Science 2020-10-26 Arthur Delarue , Ross Anderson , Christian Tjandraatmadja

The integration of electric vehicles (EVs) with the energy grid has become an important area of research due to the increasing EV penetration in today's transportation systems. Under appropriate management of EV charging and discharging,…

Optimization and Control · Mathematics 2021-07-21 Bo Lin , Bissan Ghaddar , Jatin Nathwani

We study a transportation problem where two heavy-duty trucks travel across the national highway from separate origins to destinations, subject to individual deadline constraints. Our objective is to minimize their total fuel consumption by…

Systems and Control · Electrical Eng. & Systems 2022-10-06 Wenjie Xu , Titing Cui , Minghua Chen

The capacitated tree cover problem with edge loads is a variant of the tree cover problem, where we are given facility opening costs, edge costs and loads, as well as vertex loads. We try to find a tree cover of minimum cost such that the…

Data Structures and Algorithms · Computer Science 2024-04-17 Benjamin Rockel-Wolff

In the restricted assignment problem, the input consists of a set of machines and a set of jobs each with a processing time and a subset of eligible machines. The goal is to find an assignment of the jobs to the machines minimizing the…

Computational Complexity · Computer Science 2019-07-09 Marten Maack , Klaus Jansen

Vehicle Routing Problems (VRPs) can model many real-world scenarios and often involve complex constraints. While recent neural methods excel in constructing solutions based on feasibility masking, they struggle with handling complex…

Artificial Intelligence · Computer Science 2024-10-29 Jieyi Bi , Yining Ma , Jianan Zhou , Wen Song , Zhiguang Cao , Yaoxin Wu , Jie Zhang

This paper addresses the Capacitated Vehicle Routing Problem (CVRP) by comparing classical and quantum Reinforcement Learning (RL) approaches. An Advantage Actor-Critic (A2C) agent is implemented in classical, full quantum, and hybrid…

Artificial Intelligence · Computer Science 2026-02-06 Eva Andrés

The Entrance Dependent Vehicle Routing Problem (EDVRP) is a variant of the Vehicle Routing Problem (VRP) where the scale of cities influences routing outcomes, necessitating consideration of their entrances. This paper addresses EDVRP in…

Robotics · Computer Science 2025-03-05 Yixuan Fan , Haotian Xu , Mengqiao Liu , Qing Zhuo , Tao Zhang