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Ride-pooling services, such as UberPool and Lyft Shared Saver, enable a single vehicle to serve multiple customers within one shared trip. Efficient path-planning algorithms are crucial for improving the performance of such systems. For…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Pengbo Zhu , Giancarlo Ferrari-Trecate , Nikolas Geroliminis

In this paper, we explore the potential for quantum annealing to solve realistic routing problems. We focus on two NP-Hard problems, including the Traveling Salesman Problem with Time Windows and the Capacitated Vehicle Routing Problem with…

Emerging Technologies · Computer Science 2025-04-01 James B. Holliday , Darren Blount , Eneko Osaba , Khoa Luu

We examine the routing problem for self-interested vehicles using stochastic decision strategies. By approximating the road latency functions and a non-linear variable transformation, we frame the problem as an aggregative game. We…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Emilio Benenati , Sergio Grammatico

We study the algorithmic problem of optimally covering a tree with $k$ mobile robots. The tree is known to all robots, and our goal is to assign a walk to each robot in such a way that the union of these walks covers the whole tree. We…

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

This paper considers the vehicle routing problem with stochastic demands (VRPSD) under optimal restocking. We develop an exact algorithm that is effective for solving instances with many vehicles and few customers per route. In our…

Optimization and Control · Mathematics 2018-06-25 Alexandre Florio , Richard Hartl , Stefan Minner

The Vehicle Routing Problem with pickups, deliveries and spatiotemporal service constraints ($VRPPDSTC$) is a quite challenging algorithmic problem that can be dealt with in either an offline or an online fashion. In this work, we focus on…

Computational Engineering, Finance, and Science · Computer Science 2024-08-14 Spyros Kontogiannis , Andreas Paraskevopoulos , Christos Zaroliagis

We consider two-machine routing open shop problem on a tree. In this problem a transportation network with a tree-like structure is given, and each node contains some jobs to be processed by two mobile machines. Machines are initially…

Computational Complexity · Computer Science 2020-04-09 Ilya Chernykh , Ekaterina Lgotina

The electric vehicle routing problem (EVRP) has garnered great interest from researchers and industrialists in an attempt to move from fuel-based vehicles to healthier and more efficient electric vehicles (EVs). While it seems that the EVRP…

Neural and Evolutionary Computing · Computer Science 2022-08-29 Kousik Rajesh , Eklavya Jain , Prakash Kotecha

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 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

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

Data Structures and Algorithms · Computer Science 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

We study the problem of planning paths for a team of robots for visually monitoring an environment. Our work is motivated by surveillance and persistent monitoring applications. We are given a set of target points in a polygonal environment…

Robotics · Computer Science 2016-12-13 Pratap Tokekar , Ashish Kumar Budhiraja , Vijay Kumar

We consider the problem of finding patrol schedules for $k$ robots to visit a given set of $n$ sites in a metric space. Each robot has the same maximum speed and the goal is to minimize the weighted maximum latency of any site, where the…

Data Structures and Algorithms · Computer Science 2020-07-15 Peyman Afshani , Mark De Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

Nowadays, the transport goods problem occupies an important place in the economic life of modern societies. The pickup and delivery problem with time windows (PDPTW) is one of the problems which a large part of the research was interested.…

Neural and Evolutionary Computing · Computer Science 2010-10-06 Imen Harbaoui Dridi , Ryan Kammarti , Mekki Ksouri , Pierre Borne

In this thesis we present a new algorithm for the Vehicle Routing Problem called the Enhanced Bees Algorithm. It is adapted from a fairly recent algorithm, the Bees Algorithm, which was developed for continuous optimisation problems. We…

Neural and Evolutionary Computing · Computer Science 2016-05-19 Aish Fenton

Given a graph with edge costs and vertex profits and given a budget B, the Orienteering Problem asks for a walk of cost at most B of maximum profit. Additionally, each profit may be given with a time window within it can be collected by the…

Data Structures and Algorithms · Computer Science 2024-10-17 Kevin Buchin , Mart Hagedoorn , Guangping Li , Carolin Rehs

The qubit routing problem, also known as the swap minimization problem, is a (classical) combinatorial optimization problem that arises in the design of compilers of quantum programs. We study the qubit routing problem from the viewpoint of…

Data Structures and Algorithms · Computer Science 2023-05-16 Takehiro Ito , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yoshio Okamoto

In this paper we consider a 2-vehicle routing problem which can be viewed as a building block for the varieties of the vehicle routing problems (VRPs). To approach this problem, we suggest a framework based on the Held and Karp dynamic…

Data Structures and Algorithms · Computer Science 2016-10-07 Vladimir Deineko

The problem of finding the shortest path for a vehicle visiting a given sequence of target points subject to the motion constraints of the vehicle is an important problem that arises in several monitoring and surveillance applications…

Robotics · Computer Science 2016-04-19 Sivakumar Rathinam , Pramod Khargonekar