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In this paper, we introduce the problem of Online Matching with Delays and Size-based Costs (OMDSC). The OMDSC problem involves $m$ requests arriving online. At any time, a group can be formed by matching any number of these requests that…

Data Structures and Algorithms · Computer Science 2024-08-19 Yasushi Kawase , Tomohiro Nakayoshi

Optimal stopping problems give rise to random distributions describing how many applicants the decision-maker will sample or interview before choosing one, a quantity sometimes referred to as the search time or process duration. This…

Applications · Statistics 2019-12-13 Simon Demers

Time-optimal obstacle avoidance is a prevalent problem encountered in various fields, including robotics and autonomous vehicles, where the task involves determining a path for a moving vehicle to reach its goal while navigating around…

Robotics · Computer Science 2024-03-21 Mehmetcan Kaymaz , Nazim Kemal Ure

In this paper we study a dynamic vehicle routing problem in which there are multiple vehicles and multiple classes of demands. Demands of each class arrive in the environment randomly over time and require a random amount of on-site service…

Robotics · Computer Science 2009-03-17 Marco Pavone , Stephen L. Smith , Francesco Bullo , Emilio Frazzoli

The blocking problem naturally arises in transportation systems as multiple vehicles with different itineraries share available resources. In this paper, we investigate the impact of the blocking problem to the waiting time at the…

Systems and Control · Computer Science 2016-01-21 Shanyu Zhou , Hulya Seferoglu

We study the vehicle routing problem with time windows (VRPTW) and stochastic travel times, in which the decision-maker observes related contextual information, represented as feature variables, before making routing decisions. Despite the…

Machine Learning · Computer Science 2024-02-13 Breno Serrano , Alexandre M. Florio , Stefan Minner , Maximilian Schiffer , Thibaut Vidal

We consider the problem of using an autonomous agent to persistently monitor a collection of dynamic targets distributed in an environment. We generalize existing work by allowing the agent's dynamics to vary throughout the environment,…

Optimization and Control · Mathematics 2025-03-03 Jonas Hall , Christos G. Cassandras , Sean B. Andersson

The method of fragments was recently proposed, and its effectiveness has been empirically shown for three specialised pickup and delivery problems. We propose an enhanced fragment algorithm that for the first time, effectively solves the…

Optimization and Control · Mathematics 2024-11-21 Lucas Sippel , Michael Forbes

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

A common situation occurring when dealing with multimedia traffic is having large data frames fragmented into smaller IP packets, and having these packets sent independently through the network. For real-time multimedia traffic, dropping…

Networking and Internet Architecture · Computer Science 2014-02-28 Michael Markovitch , Gabriel Scalosub

When delivering items to a set of destinations, one can save time and cost by passing a subset to a sub-contractor at any point en route. We consider a model where a set of items are initially loaded in one vehicle and should be distributed…

Data Structures and Algorithms · Computer Science 2018-01-17 Stephan Held , Jochen Könemann , Jens Vygen

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

Data Structures and Algorithms · Computer Science 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

We investigate the problem of online convex optimization with unknown delays, in which the feedback of a decision arrives with an arbitrary delay. Previous studies have presented a delayed variant of online gradient descent (OGD), and…

Machine Learning · Computer Science 2021-03-23 Yuanyu Wan , Wei-Wei Tu , Lijun Zhang

We propose a novel non-randomized anytime orienteering algorithm for finding k-optimal goals that maximize reward on a specialized graph with budget constraints. This specialized graph represents a real-world scenario which is analogous to…

Artificial Intelligence · Computer Science 2020-11-03 Abhinav Sharma , Advait Deshpande , Yanming Wang , Xinyi Xu , Prashan Madumal , Anbin Hou

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

Optimization and Control · Mathematics 2024-06-11 Mohsen Amidzadeh

Ridepooling services play an increasingly important role in modern transportation systems. With soaring demand and growing fleet sizes, the underlying route planning problems become increasingly challenging. In this context, we consider the…

Optimization and Control · Mathematics 2024-10-03 Daniela Gaul , Kathrin Klamroth , Christian Pfeiffer , Arne Schulz , Michael Stiglmayr

The vehicle routing problem is a well known class of NP-hard combinatorial optimisation problems in literature. Traditional solution methods involve either carefully designed heuristics, or time-consuming metaheuristics. Recent work in…

Artificial Intelligence · Computer Science 2022-06-15 Harshad Khadilkar

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

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

This paper presents an open data approach to model and solve the vehicle routing problem with time-dependent travel times (TDVRP). The proposed model is based on a multi-layer matrix composed of travel times, replacing the traditional…

Optimization and Control · Mathematics 2018-04-23 Augustin Lombard , Simon Tamayo , Frédéric Fontane