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We present an analysis of large-scale load balancing systems, where the processing time distribution of tasks depends on both the task and server types. Our study focuses on the asymptotic regime, where the number of servers and task types…

Probability · Mathematics 2023-06-19 Zhisheng Zhao , Debankur Mukherjee

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

The constrained consensus problem considered in this paper, denoted interval consensus, is characterized by the fact that each agent can impose a lower and upper bound on the achievable consensus value. Such constraints can be encoded in…

Systems and Control · Computer Science 2018-02-06 Angela Fontan , Guodong Shi , Xiaoming Hu , Claudio Altafini

In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement…

Optimization and Control · Mathematics 2017-10-06 Feng Xiao , Yang Shi , Wei Ren

With the fast development of wireless technologies, wireless applications have invaded various areas in people's lives with a wide range of capabilities. Guaranteeing Quality-of-Service (QoS) is the key to the success of those applications.…

Networking and Internet Architecture · Computer Science 2016-06-20 Xu Zheng , Zhipeng Cai , Jianzhong Li , Hong Gao

We address fair sensor scheduling over bandwidth-constrained communication channels. While existing literature on fair scheduling overlooks overall system efficiency, we introduce a novel $q$-fairness framework to balance efficiency and…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Yuxing Zhong , Yuchi Wu , Daniel E. Quevedo , Ling Shi

We consider a heterogeneous distributed service system, consisting of $n$ servers with unknown and possibly different processing rates. Jobs with unit mean and independent processing times arrive as a renewal process of rate $\lambda n$,…

Performance · Computer Science 2020-07-15 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

Federated learning provides an effective paradigm to jointly optimize a model benefited from rich distributed data while protecting data privacy. Nonetheless, the heterogeneity nature of distributed data makes it challenging to define and…

Machine Learning · Computer Science 2022-11-07 Bhaskar Ray Chaudhury , Linyi Li , Mintong Kang , Bo Li , Ruta Mehta

We use fluid limits to explore the (in)stability properties of wireless networks with queue-based random-access algorithms. Queue-based random-access schemes are simple and inherently distributed in nature, yet provide the capability to…

Networking and Internet Architecture · Computer Science 2013-02-26 Javad Ghaderi , Sem Borst , Phil Whiting

This thesis focuses on link scheduling in wireless mesh networks by taking into account physical layer characteristics. The assumption made throughout is that a packet is received successfully only if the Signal to Interference and Noise…

Networking and Internet Architecture · Computer Science 2008-12-31 Ashutosh Deepak Gore

We consider stability of scheduled multiaccess message communication with random coding and joint maximum-likehood decoding of messages. The framework we consider here models both the random message arrivals and the subsequent reliable…

Information Theory · Computer Science 2007-07-13 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

We consider discrete-time distributed averaging algorithms over multi-agent networks with measurement noises and time-varying random graph flows. Each agent updates its state by relative states between neighbours with both additive and…

Social and Information Networks · Computer Science 2017-02-14 Tao Li , Jiexiang Wang

We carry out a delay stability analysis (i.e., determine conditions under which expected steady-state delays at a queue are finite) for a simple 3-queue system operated under the Max-Weight scheduling policy, for the case where one of the…

Systems and Control · Computer Science 2012-07-25 Mihalis G. Markakis , Eytan Modiano , John N. Tsitsiklis

Due to the rise of distributed energy resources, the control of networks of grid-forming inverters is now a pressing issue for power system operation. Droop control is a popular control strategy in the literature for frequency control of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Kevin D. Smith , Saber Jafarpour , Francesco Bullo

We study the problem of interference management in large-scale small cell networks, where each user equipment (UE) needs to determine in a distributed manner when and at what power level it should transmit to its serving small cell base…

Information Theory · Computer Science 2015-03-10 Kartik Ahuja , Yuanzhang Xiao , Mihaela van der Schaar

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

Several results regarding the stability and the stabilization of linear impulsive positive systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained. The proposed stability conditions characterize the pointwise…

Optimization and Control · Mathematics 2016-11-09 Corentin Briat

We study dynamical transportation networks in a framework that includes extensions of the classical Cell Transmission Model to arbitrary network topologies. The dynamics are modeled as systems of ordinary differential equations describing…

Optimization and Control · Mathematics 2014-10-28 Enrico Lovisari , Giacomo Como , Anders Rantzer , Ketan Savla

Network traffic model is a critical problem for urban applications, mainly because of its diversity and node density. As wireless sensor network is highly concerned with the development of smart cities, careful consideration to traffic…

Networking and Internet Architecture · Computer Science 2014-06-23 Trista Lin , Hervé Rivano , Frédéric Le Mouël

We describe a queueing model where service is allocated as a function of queue sizes. We consider allocations policies that are insensitive to service requirements and have a maximal stability region. We take a limit where the queueing…

Probability · Mathematics 2010-07-20 N. S. Walton