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相关论文: Conditions for indexability of restless bandits an…

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The Whittle index for restless bandits (two-action semi-Markov decision processes) provides an intuitively appealing optimal policy for controlling a single generic project that can be active (engaged) or passive (rested) at each decision…

最优化与控制 · 数学 2026-01-22 José Niño-Mora

We consider the restless bandits with general state space under partial observability with two observational models: first, the state of each bandit is not observable at all, and second, the state of each bandit is observable only if it is…

系统与控制 · 电气工程与系统科学 2023-05-25 Nima Akbarzadeh , Aditya Mahajan

The Whittle index, which characterizes optimal policies for controlling certain single restless bandit projects (a Markov decision process with two actions: active and passive) is the basis for a widely used heuristic index policy for the…

最优化与控制 · 数学 2021-05-05 José Niño-Mora

The Whittle index, which characterizes optimal policies for controlling certain single restless bandit projects (a Markov decision process with two actions: active and passive) is the basis for a widely used heuristic index policy for the…

最优化与控制 · 数学 2021-05-06 José Niño-Mora

The multi-armed restless bandit framework allows to model a wide variety of decision-making problems in areas as diverse as industrial engineering, computer communication, operations research, financial engineering, communication networks…

最优化与控制 · 数学 2019-06-27 Urtzi Ayesta , Manu K. Gupta , Ina Maria Verloop

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 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

A novel reinforcement learning algorithm is introduced for multiarmed restless bandits with average reward, using the paradigms of Q-learning and Whittle index. Specifically, we leverage the structure of the Whittle index policy to reduce…

机器学习 · 计算机科学 2021-09-22 Konstantin E. Avrachenkov , Vivek S. Borkar

Whittle index is a generalization of Gittins index that provides very efficient allocation rules for restless multi-armed bandits. In this work, we develop an algorithm to test the indexability and compute the Whittle indices of any…

计算复杂性 · 计算机科学 2023-06-23 Nicolas Gast , Bruno Gaujal , Kimang Khun

We study the asymptotic optimal control of multi-class restless bandits. A restless bandit is a controllable stochastic process whose state evolution depends on whether or not the bandit is made active. Since finding the optimal control is…

概率论 · 数学 2016-09-05 I. M. Verloop

Whittle index policy is a powerful tool to obtain asymptotically optimal solutions for the notoriously intractable problem of restless bandits. However, finding the Whittle indices remains a difficult problem for many practical restless…

机器学习 · 计算机科学 2022-01-21 Khaled Nakhleh , Santosh Ganji , Ping-Chun Hsieh , I-Hong Hou , Srinivas Shakkottai

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

In this paper, we consider the problem of allocating human operators in a system with multiple semi-autonomous robots. Each robot is required to perform an independent sequence of tasks, subjected to a chance of failing and getting stuck in…

机器人学 · 计算机科学 2021-11-15 Abhinav Dahiya , Nima Akbarzadeh , Aditya Mahajan , Stephen L. Smith

Restless bandits are an important class of problems with applications in recommender systems, active learning, revenue management and other areas. We consider infinite-horizon discounted restless bandits with many arms where a fixed…

机器学习 · 计算机科学 2022-03-31 Xiangyu Zhang , Peter I. Frazier

We consider a class of restless bandit problems that finds a broad application area in reinforcement learning and stochastic optimization. We consider $N$ independent discrete-time Markov processes, each of which had two possible states: 1…

机器学习 · 计算机科学 2024-05-14 Keqin Liu , Richard Weber , Chengzhong Zhang

In restless bandits, a central agent is tasked with optimally distributing limited resources across several bandits (arms), with each arm being a Markov decision process. In this work, we generalize the traditional restless bandits problem…

机器学习 · 计算机科学 2026-02-20 Nima Akbarzadeh , Yossiri Adulyasak , Erick Delage

The restless multi-armed bandit problem is a paradigmatic modeling framework for optimal dynamic priority allocation in stochastic models of wide-ranging applications that has been widely investigated and applied since its inception in a…

综合数学 · 数学 2026-01-26 José Niño-Mora

The egalitarian processor sharing model is viewed as a restless bandit and its Whittle indexability is established. A numerical scheme for computing the Whittle indices is provided, along with supporting numerical experiments.

系统与控制 · 计算机科学 2017-07-14 Vivek S. Borkar , Sarath Pattathil

This paper surveys recent work by the author on the theoretical and algorithmic aspects of restless bandit indexation as well as on its application to a variety of problems involving the dynamic allocation of priority to multiple stochastic…

最优化与控制 · 数学 2023-04-14 José Niño-Mora

Restless multi-armed bandits are often used to model budget-constrained resource allocation tasks where receipt of the resource is associated with an increased probability of a favorable state transition. Prior work assumes that individual…

机器学习 · 计算机科学 2022-12-13 Christine Herlihy , John P. Dickerson
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