English
Related papers

Related papers: Whittle Indexability in Egalitarian Processor Shar…

200 papers

We consider a quantum switch with a finite number of quantum memory registers that aims to serve multipartite entanglement requests among $N$ users. We propose scheduling policies that aim to optimize the average number of requests served…

Information Theory · Computer Science 2026-03-25 Subhankar Banerjee , Stavros Mitrolaris , Sennur Ulukus

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…

Probability · Mathematics 2016-09-05 I. M. Verloop

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

We study the restless bandit associated with an extremely simple scalar Kalman filter model in discrete time. Under certain assumptions, we prove that the problem is indexable in the sense that the Whittle index is a non-decreasing function…

Machine Learning · Statistics 2015-09-16 Christopher R. Dance , Tomi Silander

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…

General Mathematics · Mathematics 2026-01-26 José Niño-Mora

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 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

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

Fairness is an important performance criterion in all resource allocation schemes, including those in distributed computer systems. However, it is often specified only qualitatively. The quantitative measures proposed in the literature are…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , D. Chiu , W. Hawe

We consider a restless multi-armed bandit in which each arm can be in one of two states. When an arm is sampled, the state of the arm is not available to the sampler. Instead, a binary signal with a known randomness that depends on the…

Systems and Control · Computer Science 2017-12-20 Rahul Meshram , D. Manjunath , Aditya Gopalan

This paper proposes a novel splitting (SPLIT) algorithm to achieve fairness in the multiterminal lossless data compression problem. It finds the egalitarian solution in the Slepian-Wolf region and completes in strongly polynomial time. We…

Information Theory · Computer Science 2018-05-07 Ni Ding , David Smith , Parastoo Sadeghi , Thierry Rakotoarivelo

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

We investigate a processor sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue, or renege, before completing service. The corresponding stochastic processes are represented by…

Probability · Mathematics 2009-08-25 Christian H. Gromoll , Philippe Robert , Bert Zwart

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…

Machine Learning · Computer Science 2022-03-31 Xiangyu Zhang , Peter I. Frazier

We address the intractable multi-armed bandit problem with switching costs, for which Asawa and Teneketzis introduced in [M. Asawa and D. Teneketzis. 1996. Multi-armed bandits with switching penalties. IEEE Trans. Automat. Control, 41…

Optimization and Control · Mathematics 2023-04-05 José Niño-Mora

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

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…

Optimization and Control · Mathematics 2026-01-13 José Niño-Mora , Ángel Pellitero García

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

There is increasing interest in using multicore processors to accelerate stream processing. For example, indexing sliding window content to enhance the performance of streaming queries is greatly improved by utilizing the computational…

Databases · Computer Science 2019-03-04 Amirhesam Shahvarani , Hans-Arno Jacobsen

Load balancing is a common approach in web server farms or inventory routing problems. An important issue in such systems is to determine the server to which an incoming request should be routed to optimize a given performance criteria. In…

Performance · Computer Science 2018-10-19 Urtzi Ayesta , Manu K Gupta , Ina Maria Verloop