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Closed queuing networks with finite capacity buffers and skip-over policies are fundamental models in the performance evaluation of computer and communication systems. This technical report presents the details of computational algorithms…

Performance · Computer Science 2024-09-13 Gianfranco Balbo , Andrea Marin , Diletta Olliaro , Matteo Sereno

This paper studies the stability and dynamic control of underlay mobile edge networks. First, the stability region for a multiuser edge network is obtained under the assumption of full channel state information. This result provides a…

Information Theory · Computer Science 2018-03-29 Y. Sarikaya , H. Inaltekin , T. Alpcan , J. S. Evans

A fast recovery from disruptions is of vital importance for the reliability of transit systems. This study presents a new attempt to tackle the transit disruption mitigation problem in a comprehensive and hierarchical way. A network level…

Computers and Society · Computer Science 2023-05-09 Qi Liu , Joseph Y. J. Chow

Motivated by biochemical reaction networks, a generalization of the classical secant condition for the stability analysis of cyclic interconnected commensurate fractional-order systems is provided. The main result presents a sufficient…

Dynamical Systems · Mathematics 2020-11-10 Milad Siami

Cloud computing today is dominated by multi-server jobs. These are jobs that request multiple servers simultaneously and hold onto all of these servers for the duration of the job. Multi-server jobs add a lot of complexity to the…

Performance · Computer Science 2021-02-05 Weina Wang , Qiaomin Xie , Mor Harchol-Balter

Neural network controllers have become popular in control tasks thanks to their flexibility and expressivity. Stability is a crucial property for safety-critical dynamical systems, while stabilization of partially observed systems, in many…

Systems and Control · Electrical Eng. & Systems 2021-12-08 Fangda Gu , He Yin , Laurent El Ghaoui , Murat Arcak , Peter Seiler , Ming Jin

The unreliable service and the unstable operation of a high frequency bus line are shown as bus bunching and the uneven distribution of headways along the bus line. Although many control strategies, such as the static and dynamic holding…

Optimization and Control · Mathematics 2021-03-02 Sheng-Xue He , Jian-Jia He , Shi-Dong Liang , June Qiong Dong , Peng-Cheng Yuan

The problem of robust distributed control arises in several large-scale systems, such as transportation networks and power grid systems. In many practical scenarios controllers might not have enough information to make globally optimal…

Systems and Control · Computer Science 2019-09-26 Luca Furieri , Maryam Kamgarpour

There has recently been considerable interest in the stability of different fair bandwidth sharing policies for models that arise in the context of Internet congestion control. Here, we consider a connection level model, introduced by…

Probability · Mathematics 2010-10-18 Maury Bramson

In many-server systems it is crucial to staff the right number of servers so that targeted service levels are met. These staffing problems typically lead to constraint satisfaction problems that are hard to solve. During the last decade, a…

Probability · Mathematics 2014-01-30 A. J. E. M. Janssen , Johan S. H. van Leeuwaarden

In this paper we provide a set of stability conditions for linear time-varying networked control systems with arbitrary topologies using a piecewise quadratic switching stabilization approach with multiple quadratic Lyapunov functions. We…

Optimization and Control · Mathematics 2018-04-04 Mohammad Razeghi-Jahromi , Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi

%!TEX root = LCSS_main_max.tex The widespread adoption of nonlinear Receding Horizon Control (RHC) strategies by industry has led to more than 30 years of intense research efforts to provide stability guarantees for these methods. However,…

Optimization and Control · Mathematics 2024-01-29 Tyler Westenbroek , Max Simchowitz , Michael I. Jordan , S. Shankar Sastry

We develop link rate control policies to minimize the queueing delay of packets in overloaded networks. We show that increasing link rates does not guarantee delay reduction during overload. We consider a fluid queueing model that…

Networking and Internet Architecture · Computer Science 2024-11-07 Xinyu Wu , Dan Wu , Eytan Modiano

With the development of real-time networks such as reactive embedded systems, there is a need to compute deterministic performance bounds. This paper focuses on the performance guarantees and stability conditions in networks with cyclic…

Networking and Internet Architecture · Computer Science 2018-10-08 Anne Bouillard

The structure of interactions in most of animals and human societies can be best represented by complex hierarchical networks. In order to maintain close to optimal functioning both stability and adaptability are necessary. Here we…

Physics and Society · Physics 2018-02-20 Maryam Zamani , Leonardo Camargo-Forero , Tamas Vicsek

Single-server queues with customer abandonment arise in call centers and many service systems, but steady-state performance measures remain analytically intractable beyond Markovian assumptions. This paper develops Robust Queueing (RQ)…

Probability · Mathematics 2026-03-03 Wei You

Weighted round robin (WRR) is an effective, yet particularly easy-to-implement packet scheduler. A slight modification in the implementation of WRR, interleaved weighted round robin, has been proposed as an enhancement of the initial…

Performance · Computer Science 2022-12-14 Vlad-Cristian Constantin , Paul Nikolaus , Jens Schmitt

Competitive analysis of online algorithms has commonly been applied to understand the behaviour of real-time systems during overload conditions. While competitive analysis provides insight into the behaviour of certain algorithms, it is…

Performance · Computer Science 2018-06-06 Sathish Gopalakrishnan

We study a multi-server model with $n$ flexible servers and $n$ queues, connected through a bipartite graph, where the level of flexibility is captured by the graph's average degree, $d_n$. Applications in content replication in data…

Probability · Mathematics 2017-02-07 John N. Tsitsiklis , Kuang Xu

Previous studies have inferred robust stability of reaction networks by utilizing linear programs or iterative algorithms. Such algorithms become tedious or computationally infeasible for large networks. In addition, they operate like…

Optimization and Control · Mathematics 2023-02-13 M. Ali Al-Radhawi