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A multi-agent partially observable Markov decision process (MPOMDP) is a modeling paradigm used for high-level planning of heterogeneous autonomous agents subject to uncertainty and partial observation. Despite their modeling efficiency,…

Robotics · Computer Science 2019-09-13 Mohamadreza Ahmadi , Andrew Singletary , Joel W. Burdick , Aaron D. Ames

Previous work on planning as active inference addresses finite horizon problems and solutions valid for online planning. We propose solving the general Stochastic Shortest-Path Markov Decision Process (SSP MDP) as probabilistic inference.…

Machine Learning · Computer Science 2021-09-14 Mohamed Baioumy , Bruno Lacerda , Paul Duckworth , Nick Hawes

Active classification, i.e., the sequential decision-making process aimed at data acquisition for classification purposes, arises naturally in many applications, including medical diagnosis, intrusion detection, and object tracking. In this…

Systems and Control · Computer Science 2018-10-02 Bo Wu , Mohamadreza Ahmadi , Suda Bharadwaj , Ufuk Topcu

We consider the problem of controlling a Markov decision process (MDP) with a large state space, so as to minimize average cost. Since it is intractable to compete with the optimal policy for large scale problems, we pursue the more modest…

Optimization and Control · Mathematics 2014-02-28 Yasin Abbasi-Yadkori , Peter L. Bartlett , Alan Malek

Planning under partial obervability is essential for autonomous robots. A principled way to address such planning problems is the Partially Observable Markov Decision Process (POMDP). Although solving POMDPs is computationally intractable,…

Robotics · Computer Science 2019-07-24 Marcus Hoerger , Hanna Kurniawati , Alberto Elfes

In environments like offices, the duration of a robot's navigation between two locations may vary over time. For instance, reaching a kitchen may take more time during lunchtime since the corridors are crowded with people heading the same…

Robotics · Computer Science 2024-03-07 Alexis Linard , Anna Gautier , Daniel Duberg , Jana Tumova

We consider lexicographic bi-objective problems on Markov Decision Processes (MDPs), where we optimize one objective while guaranteeing optimality of another. We propose a two-stage technique for solving such problems when the objectives…

Computer Science and Game Theory · Computer Science 2023-08-17 Damien Busatto-Gaston , Debraj Chakraborty , Anirban Majumdar , Sayan Mukherjee , Guillermo A. Pérez , Jean-François Raskin

As Multi-Robot Systems (MRS) become more affordable and computing capabilities grow, they provide significant advantages for complex applications such as environmental monitoring, underwater inspections, or space exploration. However,…

This paper proposes a comprehensive hierarchical control framework for autonomous decision-making arising in robotics and autonomous systems. In a typical hierarchical control architecture, high-level decision making is often characterised…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Xue-Fang Wang , Jingjing Jiang , Wen-Hua Chen

Many control problems in environments that can be modeled as Markov decision processes (MDPs) concern infinite-time horizon specifications. The classical aim in this context is to compute a control policy that maximizes the probability of…

Systems and Control · Computer Science 2017-05-03 Ruediger Ehlers , Salar Moarref , Ufuk Topcu

We consider a multi-robot system with a team of collaborative robots and multiple tasks that emerges over time. We propose a fully decentralized task and path planning (DTPP) framework consisting of a task allocation module and a localized…

Robotics · Computer Science 2020-11-20 Yuxiao Chen , Ugo Rosolia , Aaron D. Ames

We study the computational complexity of the infinite-horizon discounted-reward Markov Decision Problem (MDP) with a finite state space $|\mathcal{S}|$ and a finite action space $|\mathcal{A}|$. We show that any randomized algorithm needs a…

Computational Complexity · Computer Science 2017-05-24 Yichen Chen , Mengdi Wang

Exploration of the lunar south pole with a solar-powered rover is challenging due to the highly dynamic solar illumination conditions and the presence of permanently shadowed regions (PSRs). In turn, careful planning in space and time is…

Robotics · Computer Science 2025-01-06 Olivier Lamarre , Shantanu Malhotra , Jonathan Kelly

In this paper, we investigate the scheduling design of a mobile edge computing (MEC) system, where active mobile devices with computation tasks randomly appear in a cell. Every task can be computed at either the mobile device or the MEC…

Information Theory · Computer Science 2020-04-17 Shanfeng Huang , Bojie Lv , Rui Wang , Kaibin Huang

This paper develops a flexibility management framework for space logistics mission planning under uncertainty through decision rules and multi-stage stochastic programming. It aims to add built-in flexibility to space architectures in the…

Optimization and Control · Mathematics 2025-08-27 Hao Chen , Brian Gardner , Paul Grogan , Koki Ho

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

Markov Decision Processes (MDPs) are stochastic optimization problems that model situations where a decision maker controls a system based on its state. Partially observed Markov decision processes (POMDPs) are generalizations of MDPs where…

Optimization and Control · Mathematics 2019-03-26 Victor Cohen , Axel Parmentier

Multi-period mean-variance optimization is a long-standing problem, caused by the failure of dynamic programming principle. This paper studies the mean-variance optimization in a setting of finite-horizon discrete-time Markov decision…

Optimization and Control · Mathematics 2025-07-31 Li Xia , Zhihui Yu

Modern radars often adopt multi-carrier waveform which has been widely discussed in the literature. However, with the development of civil communication, more and more spectrum resource has been occupied by communication networks. Thus,…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Zhao Shan , Lei Wang , Pengfei Liu , Tianyao Huang , Yimin Liu

Ensuring safety is crucial to promote the application of robot manipulators in open workspaces. Factors such as sensor errors or unpredictable collisions make the environment full of uncertainties. In this work, we investigate these…

Robotics · Computer Science 2025-04-01 Xinyu Jia , Wenxin Wang , Jun Yang , Yongping Pan , Haoyong Yu