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The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

数据结构与算法 · 计算机科学 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

We consider a general multi-armed bandit problem with correlated (and simple contextual and restless) elements, as a relaxed control problem. By introducing an entropy regularisation, we obtain a smooth asymptotic approximation to the value…

最优化与控制 · 数学 2022-09-07 Samuel N. Cohen , Tanut Treetanthiploet

This paper presents a class of Dynamic Multi-Armed Bandit problems where the reward can be modeled as the noisy output of a time varying linear stochastic dynamic system that satisfies some boundedness constraints. The class allows many…

机器学习 · 计算机科学 2017-10-10 T. W. U. Madhushani , D. H. S. Maithripala , N. E. Leonard

Energy demands from data centers have surged and stressed the grid in recent years. Electric grids require balancing supply and demand every second, motivating demand response (reduction) from large loads, including data centers. This can…

计算工程、金融与科学 · 计算机科学 2026-05-20 Yifu Ding , Zixi Chen , Thomas Magnanti

Multi-armed bandit problems are receiving a great deal of attention because they adequately formalize the exploration-exploitation trade-offs arising in several industrially relevant applications, such as online advertisement and, more…

机器学习 · 计算机科学 2013-11-05 Nicolò Cesa-Bianchi , Claudio Gentile , Giovanni Zappella

Multi-action restless multi-armed bandits (RMABs) are a powerful framework for constrained resource allocation in which $N$ independent processes are managed. However, previous work only study the offline setting where problem dynamics are…

机器学习 · 计算机科学 2021-06-24 Jackson A. Killian , Arpita Biswas , Sanket Shah , Milind Tambe

In this paper,we consider the restless bandit problem, which is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. However, it is known be PSPACE-Hard to approximate to…

机器学习 · 计算机科学 2011-04-29 Quan Liu , Kehao Wang , Lin Chen

A common theme in stochastic optimization problems is that, theoretically, stochastic algorithms need to "know" relatively rich information about the underlying distributions. This is at odds with most applications, where distributions are…

数据结构与算法 · 计算机科学 2025-04-16 Benjamin Moseley , Heather Newman , Kirk Pruhs , Rudy Zhou

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 work studies a generalized class of restless multi-armed bandits with hidden states and allow cumulative feedback, as opposed to the conventional instantaneous feedback. We call them lazy restless bandits (LRB) as the events of…

系统与控制 · 计算机科学 2019-01-30 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

We propose Streaming Bandits, a Restless Multi Armed Bandit (RMAB) framework in which heterogeneous arms may arrive and leave the system after staying on for a finite lifetime. Streaming Bandits naturally capture the health intervention…

机器学习 · 计算机科学 2022-02-17 Aditya Mate , Arpita Biswas , Christoph Siebenbrunner , Susobhan Ghosh , Milind Tambe

We study the problem of offline learning in automated decision systems under the contextual bandits model. We are given logged historical data consisting of contexts, (randomized) actions, and (nonnegative) rewards. A common goal is to…

机器学习 · 计算机科学 2019-01-16 Yifei Ma , Yu-Xiang Wang , Balakrishnan , Narayanaswamy

We study the Whittle index learning algorithm for restless multi-armed bandits. We consider index learning algorithm with Q-learning. We first present Q-learning algorithm with exploration policies -- epsilon-greedy, softmax,…

机器学习 · 计算机科学 2024-09-10 Vishesh Mittal , Rahul Meshram , Surya Prakash

In this paper we consider energy efficient scheduling in a multiuser setting where each user has a finite sized queue and there is a cost associated with holding packets (jobs) in each queue (modeling the delay constraints). The packets of…

系统与控制 · 计算机科学 2017-10-18 Vivek S. Borkar , Gaurav S. Kasbekar , Sarath Pattathil , Priyesh Y. Shetty

Restless multi-arm bandits (RMABs) is a popular decision-theoretic framework that has been used to model real-world sequential decision making problems in public health, wildlife conservation, communication systems, and beyond. Deployed…

人工智能 · 计算机科学 2023-01-20 Paritosh Verma , Shresth Verma , Aditya Mate , Aparna Taneja , Milind Tambe

Motivated by applications such as online labor markets we consider a variant of the stochastic multi-armed bandit problem where we have a collection of arms representing strategic agents with different performance characteristics. The…

计算机科学与博弈论 · 计算机科学 2025-03-11 Seyed A. Esmaeili , Suho Shin , Aleksandrs Slivkins

For marketing, we sometimes need to recommend content for multiple pages in sequence. Different from general sequential decision making process, the use cases have a simpler flow where customers per seeing recommended content on each page…

机器学习 · 计算机科学 2022-03-18 Wenjun Zeng , Yi Liu

We consider the problem of learning the optimal threshold policy for control problems. Threshold policies make control decisions by evaluating whether an element of the system state exceeds a certain threshold, whose value is determined by…

机器学习 · 计算机科学 2022-09-30 Khaled Nakhleh , I-Hong Hou

The bandit paradigm provides a unified modeling framework for problems that require decision-making under uncertainty. Because many business metrics can be viewed as rewards (a.k.a. utilities) that result from actions, bandit algorithms…

机器学习 · 计算机科学 2023-02-03 Bram van den Akker , Olivier Jeunen , Ying Li , Ben London , Zahra Nazari , Devesh Parekh

The efficient allocation of human resources is a critical concern in software development and other industries. This paper introduces a rigorous mathematical methodology for task assignment, employing Mixed Integer Linear Programming (MILP)…

最优化与控制 · 数学 2025-12-16 Lokendra Kumar , Neelesh S. Upadhye , Kannan Piedy