English
Related papers

Related papers: A Hierarchical Approach to Robust Stability of Mul…

200 papers

In this paper we consider prioritized maximal scheduling in multi-hop wireless networks, where the scheduler chooses a maximal independent set greedily according to a sequence specified by certain priorities. We show that if the probability…

Information Theory · Computer Science 2009-01-20 Qiao Li , Rohit Negi

We consider the problem of selfish agents in discrete-time queuing systems, where competitive queues try to get their packets served. In this model, a queue gets to send a packet each step to one of the servers, which will attempt to serve…

Computer Science and Game Theory · Computer Science 2020-11-23 Jason Gaitonde , Eva Tardos

Stability region is a key index to characterize a dynamic processing system's ability to handle incoming demands. It is a multidimensional space when the system has multiple OD pairs where their service rates interact. Urban traffic network…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Dianchao Lin , Li Li

This work proposes a two-layered control scheme for constrained nonlinear systems represented by a class of recurrent neural networks and affected by additive disturbances. In particular, a base controller ensures global or regional…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Danilo Saccani , Marcello Farina , Giancarlo Ferrari-Trecate

We investigate, under general stationary ergodic assumptions, the stability of systems of $S$ parallel queues in which any incoming customer joins the queue of the server having the $p+1$-th shortest workload ($p < S$), or a free server if…

Probability · Mathematics 2015-12-16 Pascal Moyal

Problem Definition: Allocating sufficient capacity to cloud services is a challenging task, especially when demand is time-varying, heterogeneous, contains batches, and requires multiple types of resources for processing. In this setting,…

Applications · Statistics 2022-09-21 Eugene Furman , Arik Senderovich , Shane Bergsma , J. Christopher Beck

We consider a class of stochastic processing networks. Assume that the networks satisfy a complete resource pooling condition. We prove that each maximum pressure policy asymptotically minimizes the workload process in a stochastic…

Probability · Mathematics 2009-01-19 J. G. Dai , Wuqin Lin

The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Yet, strikingly, real-world networks seem random and highly irregular, apparently lacking any…

Adaptation and Self-Organizing Systems · Physics 2023-04-25 Chandrakala Meena , Chittaranjan Hens , Suman Acharyya , Simcha Haber , Stefano Boccaletti , Baruch Barzel

This paper considers the problem of throughput optimal routing/scheduling in a multi-hop constrained queueing network with random connectivity whose special case includes opportunistic multi-hop wireless networks and input-queued switch…

Optimization and Control · Mathematics 2015-03-13 Mohammad Naghshvar , Hairuo Zhuang , Tara Javidi

This paper discusses a maintenance network with failed items that can be removed, repaired, redistributed, and reused under two batch policies: one for removing the failed items from each base to a maintenance shop and the other for…

Performance · Computer Science 2022-02-15 Rui-Na Fan , Quan-Lin Li , Xiaole Wu , Zhe George Zhang

We present a data-driven framework based on Lyapunov theory to provide stability guarantees for a family of hybrid systems. In particular, we are interested in the asymptotic stability of switching linear systems whose switching sequence is…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Adrien Banse , Zheming Wang , Raphaël M. Jungers

We study a dynamic scheduling problem for a multi-class queueing network with a large pool of statistically identical servers. The arrival processes are Poisson, and service times and patience times are assumed to be exponentially…

Probability · Mathematics 2015-10-30 Ari Arapostathis , Anup Biswas , Guodong Pang

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

Dynamical Systems · Mathematics 2007-05-23 Matthew M. Peet

Efficiently solving the Job Shop Scheduling Problem in real-world industrial applications requires policies that are both computationally lean and topologically robust. While Reinforcement Learning has shown potential in automating…

Machine Learning · Computer Science 2026-04-28 Jonathan Hoss , Moritz Link , Noah Klarmann

We consider Markovian many-server systems with admission control operating in a QED regime, where the relative utilization approaches unity while the number of servers grows large, providing natural Economies-of-Scale. In order to determine…

Probability · Mathematics 2014-11-12 Jaron Sanders , S. C. Borst , A. J. E. M. Janssen , J. S. H. van Leeuwaarden

This paper studies the robustness of reinforcement learning algorithms to errors in the learning process. Specifically, we revisit the benchmark problem of discrete-time linear quadratic regulation (LQR) and study the long-standing open…

Optimization and Control · Mathematics 2021-03-16 Bo Pang , Zhong-Ping Jiang

Queueing systems appear in many important real-life applications including communication networks, transportation and manufacturing systems. Reinforcement learning (RL) framework is a suitable model for the queueing control problem where…

Optimization and Control · Mathematics 2022-06-22 Trang H. Tran , Lam M. Nguyen , Katya Scheinberg

Consider a countably infinite collection of interacting queues, with a queue located at each point of the $d$-dimensional integer grid, having independent Poisson arrivals, but dependent service rates. The service discipline is of the…

Probability · Mathematics 2019-03-12 Abishek Sankararaman , François Baccelli , Sergey Foss

Modern computing systems process jobs with resource requirements such as CPU and memory, which are described by multiresource jobs (MRJ) queueing models. In practice, job resource requirements are spread out over so many values, that it is…

Performance · Computer Science 2026-05-22 Heyuan Yao , Willow Kowalik , Izzy Grosof

We investigate the performance of First-In, First-Out (FIFO) queues over wireless networks. We characterize the stability region of a general scenario where an arbitrary number of FIFO queues, which are served by a wireless medium, are…

Networking and Internet Architecture · Computer Science 2016-01-29 Shanyu Zhou , Hulya Seferoglu , Erdem Koyuncu