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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…

Multiagent Systems · Computer Science 2023-03-01 Abheek Ghosh , Dheeraj Nagaraj , Manish Jain , Milind Tambe

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…

Machine Learning · Computer Science 2021-06-24 Jackson A. Killian , Arpita Biswas , Sanket Shah , Milind Tambe

We study the Whittle index learning algorithm for restless multi-armed bandits (RMAB). We first present Q-learning algorithm and its variants -- speedy Q-learning (SQL), generalized speedy Q-learning (GSQL) and phase Q-learning (PhaseQL).…

Machine Learning · Computer Science 2024-09-11 Parvish Kakarapalli , Devendra Kayande , Rahul Meshram

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,…

Machine Learning · Computer Science 2024-09-10 Vishesh Mittal , Rahul Meshram , Surya Prakash

We consider multi-dimensional Markov decision processes and formulate a long term discounted reward optimization problem. Two simulation based algorithms---Monte Carlo rollout policy and parallel rollout policy are studied, and various…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Rahul Meshram , Kesav Kaza

In many public health settings, it is important for patients to adhere to health programs, such as taking medications and periodic health checks. Unfortunately, beneficiaries may gradually disengage from such programs, which is detrimental…

Machine Learning · Computer Science 2021-07-26 Arpita Biswas , Gaurav Aggarwal , Pradeep Varakantham , Milind Tambe

A smart target, also referred to as a reactive target, can take maneuvering motions to hinder radar tracking. We address beam scheduling for tracking multiple smart targets in phased array radar networks. We aim to mitigate the performance…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Yuhang Hao , Zengfu Wang , José Niño-Mora , Jing Fu , Min Yang , Quan Pan

Distributed computing systems implement redundancy to reduce the job completion time and variability. Despite a large body of work about computing redundancy, the analytical performance evaluation of redundancy techniques in queuing systems…

Information Theory · Computer Science 2022-01-05 Amir Behrouzi-Far , Emina Soljanin

We study the problem of scheduling packet transmissions with the aim of minimizing the energy consumption and data transmission delay of users in a wireless network in which spatial reuse of spectrum is employed. We approach this problem…

Signal Processing · Electrical Eng. & Systems 2020-06-09 Vivek S. Borkar , Shantanu Choudhary , Vaibhav Kumar Gupta , Gaurav S. Kasbekar

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…

Systems and Control · Computer Science 2019-01-30 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

In this paper we address the problem of allocating the efforts of a collection of repairmen to a number of deteriorating machines in order to reduce operation costs and to mitigate the cost (and likelihood) of unexpected failures.…

Discrete Mathematics · Computer Science 2024-01-26 Diego Ruiz-Hernandez , Jesús María Pinar-Pérez , David Delgado-Gómez

We study a resource allocation problem with varying requests, and with resources of limited capacity shared by multiple requests. It is modeled as a set of heterogeneous Restless Multi-Armed Bandit Problems (RMABPs) connected by constraints…

Optimization and Control · Mathematics 2020-03-30 Jing Fu , Bill Moran , Peter G. Taylor

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…

Machine Learning · Computer Science 2022-03-25 Guojun Xiong , Jian Li , Rahul Singh

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…

Machine Learning · Computer Science 2022-01-21 Khaled Nakhleh , Santosh Ganji , Ping-Chun Hsieh , I-Hong Hou , Srinivas Shakkottai

Penetration testing, the simulation of cyberattacks to identify security vulnerabilities, presents a sequential decision-making problem well-suited for reinforcement learning (RL) automation. Like many applications of RL to real-world…

Machine Learning · Computer Science 2025-09-25 Raphael Simon , Pieter Libin , Wim Mees

We develop appropriately generalized notions of indexability for problems of dynamic resource allocation where the resource concerned may be assigned more flexibility than is allowed, for example, in classical multi-armed bandits. Most…

Probability · Mathematics 2012-11-09 Kevin D. Glazebrook , David J. Hodge , Chris Kirkbride

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…

Machine Learning · Computer Science 2022-12-13 Christine Herlihy , John P. Dickerson

Partial monitoring is an expressive framework for sequential decision-making with an abundance of applications, including graph-structured and dueling bandits, dynamic pricing and transductive feedback models. We survey and extend recent…

Machine Learning · Computer Science 2023-11-15 Johannes Kirschner , Tor Lattimore , Andreas Krause

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…

Machine Learning · Computer Science 2023-08-15 Kai Wang , Shresth Verma , Aditya Mate , Sanket Shah , Aparna Taneja , Neha Madhiwalla , Aparna Hegde , Milind Tambe

The trade-off between the cost of acquiring and processing data, and uncertainty due to a lack of data is fundamental in machine learning. A basic instance of this trade-off is the problem of deciding when to make noisy and costly…

Machine Learning · Statistics 2017-03-30 Christopher R. Dance , Tomi Silander