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Markov decision process (MDP) is a decision making framework where a decision maker is interested in maximizing the expected discounted value of a stream of rewards received at future stages at various states which are visited according to…

Optimization and Control · Mathematics 2022-12-19 Hoang Nam Nguyen , Abdel Lisser , Vikas Vikram Singh

Leveraging the concept of the macroscopic fundamental diagram (MFD), perimeter control can alleviate network-level congestion by identifying critical intersections and regulating them effectively. Considering the time-varying nature of…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Can Chen , Yunping Huang , Hongwei Zhang , Shimin Wang , Martin Guay , Shu-Chien Hsu , Renxin Zhong

Models of many real-life applications, such as queuing models of communication networks or computing systems, have a countably infinite state-space. Algorithmic and learning procedures that have been developed to produce optimal policies…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Saghar Adler , Vijay Subramanian

In this paper, we consider a class of continuous-time, continuous-space stochastic optimal control problems. Building upon recent advances in Markov chain approximation methods and sampling-based algorithms for deterministic path planning,…

Robotics · Computer Science 2012-02-27 Vu Anh Huynh , Sertac Karaman , Emilio Frazzoli

This paper considers an Industrial Internet of Thing (IIoT) system with a source monitoring a dynamic process with randomly generated status updates. The status updates are sent to an designated destination in a real-time manner over an…

Information Theory · Computer Science 2019-12-17 Qian Wang , He Chen , Yonghui Li , Zhibo Pang , Branka Vucetic

This paper considers a cross-layer adaptive modulation system that is modeled as a Markov decision process (MDP). We study how to utilize the monotonicity of the optimal transmission policy to relieve the computational complexity of dynamic…

Machine Learning · Statistics 2015-08-25 Ni Ding , Parastoo Sadeghi , Rodney A. Kennedy

This paper studies optimal motion planning subject to motion and environment uncertainties. By modeling the system as a probabilistic labeled Markov decision process (PL-MDP), the control objective is to synthesize a finite-memory policy,…

Robotics · Computer Science 2022-01-03 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

We consider the constrained optimal control problem for the gradual-impulsive CTMDP model with the performance criteria being the expected total undiscounted costs (from the running cost and the cost from each time an impulse being…

Optimization and Control · Mathematics 2022-04-07 Alexey Piunovskiy , Yi Zhang

Motivated by the increasing importance of providing delay-guaranteed services in general computing and communication systems, and the recent wide adoption of learning and prediction in network control, in this work, we consider a general…

Networking and Internet Architecture · Computer Science 2018-01-08 Kun Chen , Longbo Huang

We consider a distributionally robust Partially Observable Markov Decision Process (DR-POMDP), where the distribution of the transition-observation probabilities is unknown at the beginning of each decision period, but their realizations…

Optimization and Control · Mathematics 2020-12-09 Hideaki Nakao , Ruiwei Jiang , Siqian Shen

Contextual MDPs are powerful tools with wide applicability in areas from biostatistics to machine learning. However, specializing them to offline datasets has been challenging due to a lack of robust, theoretically backed methods. Our work…

Machine Learning · Statistics 2026-05-06 Riddhiman Bhattacharyya , Sayak Chakrabarty , Imon Banerjee

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

Optimization and Control · Mathematics 2022-07-27 Francesco Micheli , John Lygeros

Several novel industrial applications involve human control of vehicles, cranes, or mobile robots through various high-throughput feedback systems, such as Virtual Reality (VR) and tactile/haptic signals. The near real-time interaction…

Networking and Internet Architecture · Computer Science 2022-08-26 Andrea Bedin , Federico Chiariotti , Andrea Zanella

We consider the framework of transfer-entropy-regularized Markov Decision Process (TERMDP) in which the weighted sum of the classical state-dependent cost and the transfer entropy from the state random process to the control random process…

Optimization and Control · Mathematics 2020-05-29 Takashi Tanaka , Henrik Sandberg , Mikael Skoglund

In this paper, we consider the problem of deploying a robot from a specification given as a temporal logic statement about some properties satisfied by the regions of a large, partitioned environment. We assume that the robot has noisy…

Robotics · Computer Science 2012-02-24 Xu Chu Ding , Jing Wang , Morteza Lahijanian , Ioannis Ch. Paschalidis , Calin A. Belta

In this review/tutorial article, we present recent progress on optimal control of partially observed Markov Decision Processes (POMDPs). We first present regularity and continuity conditions for POMDPs and their belief-MDP reductions, where…

Optimization and Control · Mathematics 2025-01-03 Ali Devran Kara , Serdar Yuksel

In dynamic programming (DP) and reinforcement learning (RL), an agent learns to act optimally in terms of expected long-term return by sequentially interacting with its environment modeled by a Markov decision process (MDP). More generally…

Machine Learning · Computer Science 2022-01-03 Mastane Achab , Gergely Neu

State of the art methods for target tracking with sensor management (or controlled sensing) are model-based and are obtained through solutions to Partially Observable Markov Decision Process (POMDP) formulations. In this paper a…

Signal Processing · Electrical Eng. & Systems 2024-07-22 Adarsh M. Subramaniam , Argyrios Gerogiannis , James Z. Hare , Venugopal V. Veeravalli

This work proposes a decision-making framework for partially observable systems in continuous time with discrete state and action spaces. As optimal decision-making becomes intractable for large state spaces we employ approximation methods…

Machine Learning · Computer Science 2024-03-01 Yannick Eich , Bastian Alt , Heinz Koeppl

Equipping approximate dynamic programming (ADP) with inputconstraints has a tremendous significance. This enables ADP to be applied tothe systems with actuator limitations, which is quite common for dynamicalsystems. In a conventional…

Optimization and Control · Mathematics 2018-05-24 Xuefeng Bao , Zhi-Hong Mao , Nitin Sharma