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Standard algorithms for finding the shortest path in a graph require that the cost of a path be additive in edge costs, and typically assume that costs are deterministic. We consider the problem of uncertain edge costs, with potential…

Artificial Intelligence · Computer Science 2013-02-21 Michael P. Wellman , Matthew Ford , Kenneth Larson

We consider pessimistic bilevel stochastic programs in which the follower maximizes over a fixed compact convex set a strictly convex quadratic function, whose Hessian depends on the leader's decision. The resulting random variable is…

Optimization and Control · Mathematics 2021-11-30 Johanna Burtscheidt , Matthias Claus , Sergio Conti , Martin Rumpf , Josua Sassen , Rüdiger Schultz

In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

Optimization and Control · Mathematics 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

The Team Orienteering Problem with Service Times and Mandatory & Incompatible Nodes (TOP-ST-MIN) is a variant of the classic Team Orienteering Problem (TOP), which includes three novel features that stem from two real-world problems…

Optimization and Control · Mathematics 2024-10-17 Alberto Guastalla , Roberto Aringhieri , Pierre Hosteins

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

For robot swarms operating on complex missions in an uncertain environment, it is important that the decision-making algorithm considers both heterogeneity and uncertainty. This paper presents a stochastic programming framework for the…

Robotics · Computer Science 2020-10-23 Bo Fu , William Smith , Denise Rizzo , Matthew Castanier , Kira Barton

In this paper, we propose a beamforming design that jointly considers two conflicting performance metrics, namely the sum rate and fairness, for a multiple-input single-output non-orthogonal multiple access system. Unlike the conventional…

Signal Processing · Electrical Eng. & Systems 2019-02-18 Haitham Al-Obiedollah , Kanapathippillai Cumanan , Jeyarajan Thiyagalingam , Alister G. Burr , Zhiguo Ding , Octavia A. Dobre

This thesis explores the benefits machine learning algorithms can bring to online planning and scheduling for autonomous vehicles in off-road situations. Mainly, we focus on typical problems of interest which include computing itineraries…

Artificial Intelligence · Computer Science 2021-08-03 Kevin Osanlou

Non-linear Trajectory Optimisation (TO) methods require good initial guesses to converge to a locally optimal solution. A feasible guess can often be obtained by allocating a large amount of time for the trajectory to complete. However for…

Robotics · Computer Science 2022-03-16 Steve Tonneau

We study the strategic decision-making problem of assigning time windows to customers in the context of vehicle routing applications that are affected by operational uncertainty. This problem, known as the Time Window Assignment Vehicle…

Optimization and Control · Mathematics 2018-10-11 Anirudh Subramanyam , Akang Wang , Chrysanthos E. Gounaris

Orienteering problems (OPs) are a variant of the well-known prize-collecting traveling salesman problem, where the salesman needs to choose a subset of cities to visit within a given deadline. OPs and their extensions with stochastic travel…

Artificial Intelligence · Computer Science 2012-10-19 Hoong Chuin Lau , William Yeoh , Pradeep Varakantham , Duc Thien Nguyen , Huaxing Chen

We present a new and more efficient technique for computing the route that maximizes the probability of on-time arrival in stochastic networks, also known as the path-based stochastic on-time arrival (SOTA) problem. Our primary contribution…

Data Structures and Algorithms · Computer Science 2016-10-07 Mehrdad Niknami , Samitha Samaranayake

We consider a general online stochastic optimization problem with multiple budget constraints over a horizon of finite time periods. In each time period, a reward function and multiple cost functions are revealed, and the decision maker…

Machine Learning · Computer Science 2022-07-26 Jiashuo Jiang , Xiaocheng Li , Jiawei Zhang

Optimal stopping is the problem of determining when to stop a stochastic system in order to maximize reward, which is of practical importance in domains such as finance, operations management and healthcare. Existing methods for…

Optimization and Control · Mathematics 2022-03-28 Xinyi Guan , Velibor V. Mišić

This paper develops a path planner that minimizes risk (e.g. motion execution) while maximizing accumulated reward (e.g., quality of sensor viewpoint) motivated by visual assistance or tracking scenarios in unstructured or confined…

Robotics · Computer Science 2019-03-11 Xuesu Xiao , Jan Dufek , Robin Murphy

We consider a settings of hierarchical reinforcement learning, in which the reward is a sum of components. For each component we are given a policy that maximizes it and our goal is to assemble a policy from the individual policies that…

Machine Learning · Computer Science 2020-01-06 Tom Zahavy , Avinatan Hasidim , Haim Kaplan , Yishay Mansour

This paper proposes a novel mission planning algorithm for autonomous robots that selects an optimal waypoint sequence from a predefined set to maximize total reward while satisfying obstacle avoidance, state, input, derivative, mission…

Robotics · Computer Science 2025-05-07 Jose D. Hoyos , Tianyu Zhou , Zehui Lu , Shaoshuai Mou

We study the trajectory optimization problem under chance constraints for continuous-time stochastic systems. To address chance constraints imposed on the entire stochastic trajectory, we propose a framework based on the set erosion…

Optimization and Control · Mathematics 2025-04-08 Zishun Liu , Liqian Ma , Yongxin Chen

This paper studies line planning for urban bus networks that face multiple resource limits such as budget, labor, and emission caps while using heterogeneous fleets. The objective is to maximize total reward from serving passengers by…

Optimization and Control · Mathematics 2026-04-07 Hongyi Jiang , Igor Averbakh , Samitha Samaranayake

This work tackles the complexities of multi-player scenarios in \emph{unknown games}, where the primary challenge lies in navigating the uncertainty of the environment through bandit feedback alongside strategic decision-making. We…

Machine Learning · Computer Science 2024-02-27 Yingru Li , Liangqi Liu , Wenqiang Pu , Hao Liang , Zhi-Quan Luo