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Multi-depot vehicle routing problems (MDVRPs) are prevalent in a variety of practical applications. However, they are computationally challenging to solve due to their inherent complexity. This paper proposes an effective hybrid algorithm…

Robotics · Computer Science 2026-05-08 Zhenyu Lei , Jin-Kao Hao

In this paper we study a revenue maximization problem for optical routing nodes. We model the routing node as a single server polling model with the aim to assign visit periods (service windows) to the different stations (ports) such that…

Optimization and Control · Mathematics 2016-02-03 Murtuza Ali Abidini , Onno Boxma , Ton Koonen , Jacques Resing

The paper proposes novel sampling strategies to compute the optimal path alteration of a surface vessel sailing in close quarters. Such strategy directly encodes the rules for safe navigation at sea, by exploiting the concept of minimal…

Robotics · Computer Science 2022-01-12 Thomas Thuesen Enevoldsen , Christopher Reinartz , Roberto Galeazzi

This paper studies an extension of the rural postman problem with multiple depots and rechargeable and reusable vehicles capable of multiple trips with capacity constraints. This paper presents a new Mixed Integer Linear Programming (MILP)…

Multiagent Systems · Computer Science 2024-11-20 Eashwar Sathyamurthy , Jeffrey W. Herrmann , Shapour Azarm

Semidiscrete optimal transport is a challenging generalization of the classical transportation problem in linear programming. The goal is to design a joint distribution for two random variables (one continuous, one discrete) with fixed…

Econometrics · Economics 2026-01-22 Yinchu Zhu , Ilya O. Ryzhov

Ride-sharing is a modern urban-mobility paradigm with tremendous potential in reducing congestion and pollution. Demand-aware design is a promising avenue for addressing a critical challenge in ride-sharing systems, namely joint…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Qiulin Lin , Wenjie Xu , Minghua Chen , Xiaojun Lin

In this paper, we develop a profit-sharing-based optimal routing mechanism to incentivize horizontal collaboration among urban goods distributors. This paper investigates a collaborative routing problem for urban logistics, in which the…

Optimization and Control · Mathematics 2025-07-02 Fangting Zhou , Ala Arvidsson , Jiaming Wu , Balazs Kulcsar

The multiple-path orienteering problem asks for paths for a team of robots that maximize the total reward collected while satisfying budget constraints on the path length. This problem models many multi-robot routing tasks such as exploring…

Robotics · Computer Science 2021-12-02 Guangyao Shi , Lifeng Zhou , Pratap Tokekar

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

Optimization and Control · Mathematics 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

This paper develops an adaptive traffic control policy inspired by Maximum Pressure (MP) while imposing coordination across intersections. The proposed Coordinated Maximum Pressure-plus-Penalty (CMPP) control policy features a local…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Vinzenz Tütsch , Zhiyu He , Florian Dörfler , Kenan Zhang

The Capacitated Location Routing Problem is an important planning and routing problem in logistics, which generalizes the capacitated vehicle routing problem and the uncapacitated facility location problem. In this problem, we are given a…

Data Structures and Algorithms · Computer Science 2025-03-18 Jingyang Zhao , Mingyu Xiao , Shunwang Wang

We study the Joint Routing-Assignment (JRA) problem in which items must be assigned one-to-one to placeholders while simultaneously determining a Hamiltonian cycle visiting all nodes exactly once. Extending previous exact MIP solvers with…

Artificial Intelligence · Computer Science 2025-12-23 Yuan Qilong , Michal Pavelka

In this paper, we consider a class of continuous-time, continuous-space stochastic optimal control problems. Building upon recent advances in Markov chain approximation methods and sampling-based algorithms for deterministic path planning,…

Robotics · Computer Science 2012-02-27 Vu Anh Huynh , Sertac Karaman , Emilio Frazzoli

We are in the midst of a semi-autonomous era in urban transportation in which varying forms of vehicle autonomy are gradually being introduced. This phase of partial autonomy is anticipated by some to span a few decades due to various…

Optimization and Control · Mathematics 2025-02-07 Hins Hu , Samitha Samaranayake

This paper studies robust variants of an extended model of the classical Heterogeneous Vehicle Routing Problem (HVRP), where a mixed fleet of vehicles with different capacities, availabilities, fixed costs and routing costs is used to serve…

Optimization and Control · Mathematics 2018-10-19 Anirudh Subramanyam , Panagiotis P. Repoussis , Chrysanthos E. Gounaris

We study the problem of deploying a fleet of mobile robots to service tasks that arrive stochastically over time and at random locations in an environment. This is known as the Dynamic Vehicle Routing Problem (DVRP) and requires robots to…

Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost…

Optimization and Control · Mathematics 2024-10-11 Hongyi Jiang , Samitha Samaranayake

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

Multi-goal path finding (MGPF) aims to find a closed and collision-free path to visit a sequence of goals orderly. As a physical travelling salesman problem, an undirected complete graph with accurate weights is crucial for determining the…

Robotics · Computer Science 2023-12-25 Yuan Huang

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie