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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

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

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

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

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

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

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 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

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

This paper considers what we propose to call multi-gear bandits, which are Markov decision processes modeling a generic dynamic and stochastic project fueled by a single resource and which admit multiple actions representing gears of…

最优化与控制 · 数学 2026-01-21 José Niño-Mora

Restless bandits are a class of sequential resource allocation problems concerned with allocating one or more resources among several alternative processes where the evolution of the process depends on the resource allocated to them. Such…

系统与控制 · 电气工程与系统科学 2021-08-26 Nima Akbarzadeh , Aditya Mahajan

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 study capacity-constrained treatment-adherence outreach via a belief-state restless multi-armed bandit model where patients are a partially observed two-state (adherent/nonadherent) Markov processes and interventions induce reset-type…

最优化与控制 · 数学 2026-01-13 José Niño-Mora , Ángel Pellitero García

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

This paper considers a Markovian model for the optimal dynamic routing of homogeneous traffic to parallel heterogeneous queues, each having its own finite input buffer and server pool, where buffer and server-pool sizes, as well as service…

最优化与控制 · 数学 2022-07-26 José Niño-Mora

In this paper, we consider a queueing system with multiple channels (or servers) and multiple classes of users. We aim at allocating the available channels among the users in such a way to minimize the expected total average queue length of…

网络与互联网体系结构 · 计算机科学 2019-02-07 Saad Kriouile , Maialen Larranaga , Mohamad Assaad

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

The restless multi-armed bandit (RMAB) framework is a popular approach to solving resource allocation problems in networked systems. In this paper, we study optimal resource allocation in RMABs facing unknown and non-stationary dynamics.…

机器学习 · 计算机科学 2026-04-22 Md Kamran Chowdhury Shisher , Vishrant Tripathi , Mung Chiang , Christopher G. Brinton

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

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
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