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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 (or minimize…

最优化与控制 · 数学 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

We consider the reinforcement learning problem for the constrained Markov decision process (CMDP), which plays a central role in satisfying safety or resource constraints in sequential learning and decision-making. In this problem, we are…

机器学习 · 计算机科学 2025-11-19 Jiashuo Jiang , Yinyu Ye

We consider Markov decision processes (MDPs) in which the transition probabilities and rewards belong to an uncertainty set parametrized by a collection of random variables. The probability distributions for these random parameters are…

计算机科学中的逻辑 · 计算机科学 2020-02-26 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen , Ufuk Topcu

In this paper we address the problem of decision making within a Markov decision process (MDP) framework where risk and modeling errors are taken into account. Our approach is to minimize a risk-sensitive conditional-value-at-risk (CVaR)…

人工智能 · 计算机科学 2015-06-09 Yinlam Chow , Aviv Tamar , Shie Mannor , Marco Pavone

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…

机器学习 · 计算机科学 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

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…

机器学习 · 计算机科学 2024-10-24 Dongwen Luo

In this paper we provide faster algorithms for approximately solving discounted Markov Decision Processes in multiple parameter regimes. Given a discounted Markov Decision Process (DMDP) with $|S|$ states, $|A|$ actions, discount factor…

数据结构与算法 · 计算机科学 2020-12-24 Aaron Sidford , Mengdi Wang , Xian Wu , Yinyu Ye

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

机器学习 · 计算机科学 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

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…

最优化与控制 · 数学 2015-07-08 Mahmoud El Chamie , Behcet Acikmese

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Mean payoff (or long-run average reward) provides a mathematically elegant formalism to express performance related…

性能 · 计算机科学 2017-09-08 Jan Křetínský , Tobias Meggendorfer

Although many real-world stochastic planning problems are more naturally formulated by hybrid models with both discrete and continuous variables, current state-of-the-art methods cannot adequately address these problems. We present the…

人工智能 · 计算机科学 2012-07-19 Carlos E. Guestrin , Milos Hauskrecht , Branislav Kveton

In classical Markov Decision Processes (MDPs), action costs and transition probabilities are assumed to be known, although an accurate estimation of these parameters is often not possible in practice. This study addresses MDPs under cost…

最优化与控制 · 数学 2019-06-24 Merve Merakli , Simge Kucukyavuz

We consider the key practical challenge of multi-asset maintenance optimization in settings where degradation parameters are heterogeneous and unknown, and must be inferred from degradation data. To address this, we propose scalable methods…

最优化与控制 · 数学 2026-04-21 Peter Verleijsdonk , Collin Drent , Stella Kapodistria , Willem van Jaarsveld

This paper studies a finite-horizon Markov decision problem with information-theoretic constraints, where the goal is to minimize directed information from the controlled source process to the control process, subject to stage-wise cost…

系统与控制 · 电气工程与系统科学 2025-09-04 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

We investigate episodic Markov Decision Processes with heavy-tailed losses (HTMDPs). Existing approaches for HTMDPs are conservative in stochastic environments and lack adaptivity in adversarial regimes. In this work, we propose algorithms…

机器学习 · 计算机科学 2026-05-18 Yu Chen , Yuhao Liu , Jiatai Huang , Yihan Du , Longbo Huang

In the aftermath of an extreme natural hazard, community residents must have access to functioning food retailers to maintain food security. Food security is dependent on supporting critical infrastructure systems, including electricity,…

计算工程、金融与科学 · 计算机科学 2018-05-16 Saeed Nozhati , Yugandhar Sarkale , Bruce R. Ellingwood , Edwin K. P. Chong , Hussam Mahmoud

Safe reinforcement learning has been a promising approach for optimizing the policy of an agent that operates in safety-critical applications. In this paper, we propose an algorithm, SNO-MDP, that explores and optimizes Markov decision…

机器学习 · 计算机科学 2020-08-18 Akifumi Wachi , Yanan Sui

We study infinite-horizon robust Markov decision processes (MDPs) on continuous state spaces with structured rectangular ambiguity set. The proposed ambiguity set falls within the convex hull of unknown generating kernels. We utilize the…

最优化与控制 · 数学 2026-05-28 Mengmeng Li , Yifan Hu , Daniel Kuhn , Yan Li

We propose two scheduling algorithms that seek to optimize the quality of scalably coded videos that have been stored at a video server before transmission.} The first scheduling algorithm is derived from a Markov Decision Process (MDP)…

多媒体 · 计算机科学 2013-11-26 Chao Chen , Robert W. Heath , Alan C. Bovik , Gustavo de Veciana

Battery-less Internet of Things (IoT) devices rely on ambient energy harvesting and therefore require scheduling policies that jointly account for energy intermittency and hard timing constraints. This challenge is especially acute in…

系统与控制 · 电气工程与系统科学 2026-05-20 Shahab Jahanbazi , Mateen Ashraf , Onel L. A. López