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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

This report investigates the optimal design of event-triggered estimation for first-order linear stochastic systems. The problem is posed as a two-player team problem with a partially nested information pattern. The two players are given by…

Optimization and Control · Mathematics 2012-03-23 Adam Molin , Sandra Hirche

We study the piecewise stationary combinatorial semi-bandit problem with causally related rewards. In our nonstationary environment, variations in the base arms' distributions, causal relationships between rewards, or both, change the…

Machine Learning · Computer Science 2023-07-27 Behzad Nourani-Koliji , Steven Bilaj , Amir Rezaei Balef , Setareh Maghsudi

Many high-stakes AI deployments proceed only if every stakeholder deems the system acceptable relative to their own minimum standard. With randomization over a finite menu of options, this becomes a feasibility question: does there exist a…

Computer Science and Game Theory · Computer Science 2026-04-21 Davin Choo , Paul W. Goldberg , Nicholas Teh

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

Machine Learning · Computer Science 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani

This paper considers the problem of assigning multiple mobile robots to goals on transport networks with uncertain information about travel times. Our aim is to produce optimal assignments, such that the average waiting time at destinations…

Robotics · Computer Science 2019-04-23 Amanda Prorok

In real-time trajectory planning for unmanned vehicles, on-board sensors, radars and other instruments are used to collect information on possible obstacles to be avoided and pathways to be followed. Since, in practice, observations of the…

Methodology · Statistics 2013-09-25 Adriano Zanin Zambom , Julian A. A. Collazos , Ronaldo Dias

We study reinforcement learning in stochastic path (SP) problems. The goal in these problems is to maximize the expected sum of rewards until the agent reaches a terminal state. We provide the first regret guarantees in this general problem…

Machine Learning · Computer Science 2022-10-18 Christoph Dann , Chen-Yu Wei , Julian Zimmert

The goal in this paper is to approximate the Price of Stability (PoS) in stochastic Nash games using stochastic approximation (SA) schemes. PoS is amongst the most popular metrics in game theory and provides an avenue for estimating the…

Optimization and Control · Mathematics 2023-10-31 Afrooz Jalilzadeh , Farzad Yousefian , Mohammadjavad Ebrahimi

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

This thesis introduces stochastic generalized routing problem model and proposes exact and heuristic algorithms to solve it efficiently, in a wide range of problem sizes. At first, the classic routing problem with its common variations in…

Optimization and Control · Mathematics 2019-03-08 Faraz Dadgostari

This paper presents a class of Dynamic Multi-Armed Bandit problems where the reward can be modeled as the noisy output of a time varying linear stochastic dynamic system that satisfies some boundedness constraints. The class allows many…

Machine Learning · Computer Science 2017-10-10 T. W. U. Madhushani , D. H. S. Maithripala , N. E. Leonard

We consider the online traveling salesman problem on the real line (OLTSPL) in which a salesman begins at the origin, traveling at no faster than unit speed along the real line, and wants to serve a sequence of requests, arriving online…

Data Structures and Algorithms · Computer Science 2025-07-10 Pei-Chuan Chen , Erik D. Demaine , Chung-Shou Liao , Hao-Ting Wei

The state of the art in local search for the Traveling Salesman Problem is dominated by ejection chain methods utilising the Stem-and-Cycle reference structure. Though effective such algorithms employ very little information in their…

Artificial Intelligence · Computer Science 2011-03-22 Daniel Harabor , Philip Kilby

This paper addresses the problem of reliably and efficiently solving broad classes of long-horizon stochastic path planning problems. Starting with a vanilla RL formulation with a stochastic dynamics simulator and an occupancy matrix of the…

Machine Learning · Computer Science 2022-12-09 Naman Shah , Siddharth Srivastava

An optimal randomized strategy for design of balanced, normalized mass transport plans is developed. It replaces -- but specializes to -- the deterministic, regularized optimal transport (OT) strategy, which yields only a…

Systems and Control · Electrical Eng. & Systems 2025-05-08 Sarah Boufelja Y. , Anthony Quinn , Robert Shorten

Mobile social network applications constitute an important platform for traffic information sharing, helping users collect and share sensor information about the driving conditions they experience on the traveled path in real time. In this…

Computer Science and Game Theory · Computer Science 2018-12-04 Yunpeng Li , Costas Courcoubetis , Lingjie Duan

In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation,…

Computer Science and Game Theory · Computer Science 2025-07-22 Nicolas Lanzetti , Sylvain Fricker , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

In both industrial and service domains, a central benefit of the use of robots is their ability to quickly and reliably execute repetitive tasks. However, even relatively simple peg-in-hole tasks are typically subject to stochastic…

Robotics · Computer Science 2023-07-28 Benjamin Alt , Darko Katic , Rainer Jäkel , Michael Beetz

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill
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