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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

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (minimize…

Optimization and Control · Mathematics 2015-07-08 Mahmoud El Chamie , Behcet Acikmese

Software-intensive systems, such as software product lines and robotics, utilise Markov decision processes (MDPs) to capture uncertainty and analyse sequential decision-making problems. Despite the usefulness of conventional policy…

Artificial Intelligence · Computer Science 2026-05-01 Alexandros Evangelidis , Gricel Vázquez , Simos Gerasimou

Content caching in wireless networks provides a substantial opportunity to trade off low cost memory storage with energy consumption, yet finding the optimal causal policy with low computational complexity remains a challenge. This paper…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Zhijie Chen , Hoshyar Mohammed , Wei Chen

With an increasing need for more flexible mobility services, we consider an operational problem arising in the planning of Demand Adaptive Systems (DAS). Motivated by the decision of whether to accept or reject passenger requests in real…

Optimization and Control · Mathematics 2025-03-12 Benedikt Lienkamp , Mike Hewitt , Axel Parmentier , Maximilian Schiffer

We consider the problem of long term power allocation in dense wireless networks. The framework considered in this paper is of interest for machine-type communications (MTC). In order to guarantee an optimal operation of the system while…

Information Theory · Computer Science 2018-01-16 Maialen Larranaga , Mohamad Assaad , Koen De Turck

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

Machine Learning · Computer Science 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

Markov decision problems (MDPs) provide the foundations for a number of problems of interest to AI researchers studying automated planning and reinforcement learning. In this paper, we summarize results regarding the complexity of solving…

Artificial Intelligence · Computer Science 2013-02-21 Michael L. Littman , Thomas L. Dean , Leslie Pack Kaelbling

Markov decision processes (MDP) are useful to model optimisation problems in concurrent systems. To verify MDPs with efficient Monte Carlo techniques requires that their nondeterminism be resolved by a scheduler. Recent work has introduced…

Data Structures and Algorithms · Computer Science 2016-11-15 Pedro D'Argenio , Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Markov decision processes (MDP) are a well-established model for sequential decision-making in the presence of probabilities. In robust MDP (RMDP), every action is associated with an uncertainty set of probability distributions, modelling…

Artificial Intelligence · Computer Science 2024-12-16 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

Stochastic domains often involve risk-averse decision makers. While recent work has focused on how to model risk in Markov decision processes using risk measures, it has not addressed the problem of solving large risk-averse formulations.…

Portfolio Management · Quantitative Finance 2012-10-19 Marek Petrik , Dharmashankar Subramanian

The unmanned aerial vehicle (UAV)-enabled communication technology is regarded as an efficient and effective solution for some special application scenarios where existing terrestrial infrastructures are overloaded to provide reliable…

Networking and Internet Architecture · Computer Science 2022-09-20 Jinjing Wang , Xindi Wang

The rapid integration of inverter-based resources (IBRs) into power systems has identified frequency security challenges due to reduced inertia and increased load volatility. This paper proposes a robust power reserve decision-making…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Xiang Zhu , Hua Geng , Hongyang Qing , Guangchun , Ruan , Xiuqiang He

Traditionally, HPC workloads have been deployed in bare-metal clusters; but the advances in virtualization have led the pathway for these workloads to be deployed in virtualized clusters. However, HPC cluster administrators/providers still…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-24 Jashwant Raj Gunasekaran , Michael Cui , Prashanth Thinakaran , Josh Simons , Mahmut Taylan Kandemir , Chita R. Das

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

Machine Learning · Statistics 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

In the optimization of dynamic systems, the variables typically have constraints. Such problems can be modeled as a Constrained Markov Decision Process (CMDP). This paper considers the peak Constrained Markov Decision Process (PCMDP), where…

Optimization and Control · Mathematics 2022-06-15 Qinbo Bai , Vaneet Aggarwal , Ather Gattami

Markov decision processes (MDP) are useful to model concurrent process optimisation problems, but verifying them with numerical methods is often intractable. Existing approximative approaches do not scale well and are limited to memoryless…

Data Structures and Algorithms · Computer Science 2014-09-18 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Consumption Markov Decision Processes (CMDPs) are probabilistic decision-making models of resource-constrained systems. In a CMDP, the controller possesses a certain amount of a critical resource, such as electric power. Each action of the…

Formal Languages and Automata Theory · Computer Science 2020-05-18 František Blahoudek , Tomáš Brázdil , Petr Novotný , Melkior Ornik , Pranay Thangeda , Ufuk Topcu

Power grid load scheduling is a critical task that ensures the balance between electricity generation and consumption while minimizing operational costs and maintaining grid stability. Traditional optimization methods often struggle with…

Machine Learning · Computer Science 2024-10-24 Dongwen Luo

There is growing interest in visual data management systems that support queries with specialized operations ranging from resizing an image to running complex machine learning models. With a plethora of such operations, the basic need to…

Databases · Computer Science 2024-02-06 Rohit Verma , Arun Raghunath
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