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Motivated by time-sensitive e-service applications, we consider the design of effective policies in a Markovian model for the dynamic control of both admission and routing of a single class of real-time transactions to multiple…

Optimization and Control · Mathematics 2022-07-27 José Niño-Mora

Restless and collapsing bandits are often used to model budget-constrained resource allocation in settings where arms have action-dependent transition probabilities, such as the allocation of health interventions among patients. However,…

Machine Learning · Computer Science 2023-07-20 Christine Herlihy , Aviva Prins , Aravind Srinivasan , John P. Dickerson

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…

Machine Learning · Computer Science 2026-02-20 Nima Akbarzadeh , Yossiri Adulyasak , Erick Delage

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…

Machine Learning · Computer Science 2020-07-10 Aditya Mate , Jackson A. Killian , Haifeng Xu , Andrew Perrault , Milind Tambe

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…

Robotics · Computer Science 2021-11-15 Abhinav Dahiya , Nima Akbarzadeh , Aditya Mahajan , Stephen L. Smith

We present a two-armed bandit model of decision making under uncertainty where the expected return to investing in the "risky arm" increases when choosing that arm and decreases when choosing the "safe" arm. These dynamics are natural in…

Optimization and Control · Mathematics 2017-03-22 Roland Fryer , Philipp Harms

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…

Machine Learning · Computer Science 2025-10-28 Himadri S. Pandey , Kai Wang , Gian-Gabriel P. Garcia

Partially observable restless multi-armed bandits have found numerous applications including in recommendation systems, communication systems, public healthcare outreach systems, and in operations research. We study multi-action partially…

Machine Learning · Computer Science 2025-09-03 Rahul Meshram , Kesav Kaza

This paper investigates the Restless Multi-Armed Bandit (RMAB) framework under individual penalty constraints to address resource allocation challenges in dynamic wireless networked environments. Unlike conventional RMAB models, our model…

Machine Learning · Computer Science 2026-04-20 Nida Zamir , I-Hong Hou

This paper introduces a novel multi-armed bandits framework, termed Contextual Restless Bandits (CRB), for complex online decision-making. This CRB framework incorporates the core features of contextual bandits and restless bandits, so that…

Artificial Intelligence · Computer Science 2024-03-26 Xin Chen , I-Hong Hou

In solving the non-myopic radar scheduling for multiple smart target tracking within an active and passive radar network, we need to consider both short-term enhanced tracking performance and a higher probability of target maneuvering in…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Yuhang Hao , Zengfu Wang , Jing Fu , Quan Pan

We provide a framework to analyse control policies for the restless Markovian bandit model, under both finite and infinite time horizon. We show that when the population of arms goes to infinity, the value of the optimal control policy…

Optimization and Control · Mathematics 2023-12-25 Nicolas Gast , Bruno Gaujal , Chen Yan

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…

Machine Learning · Computer Science 2021-09-22 Konstantin E. Avrachenkov , Vivek S. Borkar

The problem of stochastic deadline scheduling is considered. A constrained Markov decision process model is introduced in which jobs arrive randomly at a service center with stochastic job sizes, rewards, and completion deadlines. The…

Optimization and Control · Mathematics 2017-07-10 Zhe Yu , Yunjian Xu , Lang Tong

Scheduling in multi-channel wireless communication system presents formidable challenges in effectively allocating resources. To address these challenges, we investigate a multi-resource restless matching bandit (MR-RMB) model for…

Machine Learning · Computer Science 2024-08-21 Nida Zamir , I-Hong Hou

In this paper, we consider a general observation model for restless multi-armed bandit problems. The operation of the player is based on the past observation history that is limited (partial) and error-prone due to resource constraints or…

Machine Learning · Statistics 2025-12-17 Keqin Liu , Qizhen Jia

We consider a large-scale cyber network with N components (e.g., paths, servers, subnets). Each component is either in a healthy state (0) or an abnormal state (1). Due to random intrusions, the state of each component transits from 0 to 1…

Systems and Control · Computer Science 2011-12-02 Keqin Liu , Qing Zhao

In this paper, we investigate a general delay-aware channel allocation problem where the number of channels is less than that of users. Due to the proliferation of delay sensitive applications, the objective of our problem is chosen to be…

Information Theory · Computer Science 2020-05-22 Saad Kriouile , Mohamad Assaad , Maialen Larranaga

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…

Machine Learning · Computer Science 2026-04-13 Mohsen Amiri , Konstantin Avrachenkov , Ibtihal El Mimouni , Sindri Magnússon

Restless multi-armed bandits (RMABs) extend multi-armed bandits to allow for stateful arms, where the state of each arm evolves restlessly with different transitions depending on whether that arm is pulled. Solving RMABs requires…

Machine Learning · Computer Science 2023-11-21 Kai Wang , Lily Xu , Aparna Taneja , Milind Tambe