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This paper addresses an important class of restless multi-armed bandit (RMAB) problems that finds broad application in operations research, stochastic optimization, and reinforcement learning. There are $N$ independent Markov processes that…

最优化与控制 · 数学 2025-04-18 Keqin Liu

Restless multi-armed bandits with partially observable states has applications in communication systems, age of information and recommendation systems. In this paper, we study multi-state partially observable restless bandit models. We…

机器学习 · 计算机科学 2021-08-03 Rahul Meshram , Kesav Kaza

Motivated by applications such as machine repair, project monitoring, and anti-poaching patrol scheduling, we study intervention planning of stochastic processes under resource constraints. This planning problem has previously been modeled…

人工智能 · 计算机科学 2026-02-26 Arpita Biswas , Jackson A. Killian , Paula Rodriguez Diaz , Susobhan Ghosh , Milind Tambe

We consider finite state restless multi-armed bandit problem. The decision maker can act on M bandits out of N bandits in each time step. The play of arm (active arm) yields state dependent rewards based on action and when the arm is not…

机器学习 · 计算机科学 2023-05-02 Vishesh Mittal , Rahul Meshram , Deepak Dev , Surya Prakash

We consider the scheduling problem concerning N projects. Each project evolves as a multi-state Markov process. At each time instant, one project is scheduled to work, and some reward depending on the state of the chosen project is…

最优化与控制 · 数学 2016-02-02 Kehao Wang

We model online recommendation systems using the hidden Markov multi-state restless multi-armed bandit problem. To solve this we present Monte Carlo rollout policy. We illustrate numerically that Monte Carlo rollout policy performs better…

系统与控制 · 电气工程与系统科学 2021-02-09 Rahul Meshram , Kesav Kaza

Restless multi-armed bandits (RMABs) provide a scalable framework for sequential decision-making under uncertainty, but classical formulations assume binary actions and a single global budget. Real-world settings, such as healthcare, often…

机器学习 · 计算机科学 2025-10-28 Himadri S. Pandey , Kai Wang , Gian-Gabriel P. Garcia

We study a finite-horizon restless multi-armed bandit problem with multiple actions, dubbed R(MA)^2B. The state of each arm evolves according to a controlled Markov decision process (MDP), and the reward of pulling an arm depends on both…

机器学习 · 计算机科学 2022-03-25 Guojun Xiong , Jian Li , Rahul Singh

This paper studies a class of constrained restless multi-armed bandits (CRMAB). The constraints are in the form of time varying set of actions (set of available arms). This variation can be either stochastic or semi-deterministic. Given a…

系统与控制 · 计算机科学 2021-09-07 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

This paper studies restless multi-armed bandit (RMAB) problems with unknown arm transition dynamics but with known correlated arm features. The goal is to learn a model to predict transition dynamics given features, where the Whittle index…

机器学习 · 计算机科学 2023-08-15 Kai Wang , Shresth Verma , Aditya Mate , Sanket Shah , Aparna Taneja , Neha Madhiwalla , Aparna Hegde , Milind Tambe

We consider a restless multi-armed bandit (RMAB) in which there are two types of arms, say A and B. Each arm can be in one of two states, say $0$ or $1.$ Playing a type A arm brings it to state $0$ with probability one and not playing it…

系统与控制 · 计算机科学 2017-04-11 Rahul Meshram , Aditya Gopalan , D. Manjunath

We consider a class of restless multi-armed bandit problems (RMBP) that arises in dynamic multichannel access, user/server scheduling, and optimal activation in multi-agent systems. For this class of RMBP, we establish the indexability and…

信息论 · 计算机科学 2008-11-13 Keqin Liu , Qing Zhao

We study the problem of planning restless multi-armed bandits (RMABs) with multiple actions. This is a popular model for multi-agent systems with applications like multi-channel communication, monitoring and machine maintenance tasks, and…

多智能体系统 · 计算机科学 2023-03-01 Abheek Ghosh , Dheeraj Nagaraj , Manish Jain , Milind Tambe

We propose and study Collpasing Bandits, a new restless multi-armed bandit (RMAB) setting in which each arm follows a binary-state Markovian process with a special structure: when an arm is played, the state is fully observed, thus…

机器学习 · 计算机科学 2020-07-10 Aditya Mate , Jackson A. Killian , Haifeng Xu , Andrew Perrault , Milind Tambe

We study a problem of information gathering in a social network with dynamically available sources and time varying quality of information. We formulate this problem as a restless multi-armed bandit (RMAB). In this problem, information…

系统与控制 · 计算机科学 2018-01-22 Varun Mehta , Rahul Meshram , Kesav Kaza , S. N. Merchant

Restless multi-armed bandits (RMAB) extend multi-armed bandits so pulling an arm impacts future states. Despite the success of RMABs, a key limiting assumption is the separability of rewards into a sum across arms. We address this…

机器学习 · 计算机科学 2024-06-11 Naveen Raman , Zheyuan Ryan Shi , Fei Fang

Restless multi-armed bandits (RMAB) have been widely used to model sequential decision making problems with constraints. The decision maker (DM) aims to maximize the expected total reward over an infinite horizon under an "instantaneous…

机器学习 · 计算机科学 2023-12-25 Shufan Wang , Guojun Xiong , Jian Li

The restless multi-armed bandit (RMAB) framework is a popular model with applications across a wide variety of fields. However, its solution is hindered by the exponentially growing state space (with respect to the number of arms) and the…

机器学习 · 计算机科学 2025-08-05 Gongpu Chen , Soung Chang Liew , Deniz Gunduz

Restless Multi-Armed Bandits (RMABs) are powerful models for decision-making under uncertainty, yet classical formulations typically assume fixed dynamics, an assumption often violated in nonstationary environments. We introduce MARBLE…

机器学习 · 计算机科学 2026-04-13 Mohsen Amiri , Konstantin Avrachenkov , Ibtihal El Mimouni , Sindri Magnússon

The multi-armed bandit (MAB) is a classical online optimization model for the trade-off between exploration and exploitation. The traditional MAB is concerned with finding the arm that minimizes the mean cost. However, minimizing the mean…

最优化与控制 · 数学 2018-09-17 Jianyu Xu , William B. Haskell , Zhisheng Ye
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