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Stability is an important issue in order to characterize the performance of a network, and it has become a major topic of study in the last decade. Roughly speaking, a communication network system is said to be stable if the number of…

Networking and Internet Architecture · Computer Science 2020-05-06 Vicent Cholvi , Paweł Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

We consider load balancing in a network of caching servers delivering contents to end users. Randomized load balancing via the so-called power of two choices is a well-known approach in parallel and distributed systems. In this framework,…

Information Theory · Computer Science 2017-07-03 Mahdi Jafari Siavoshani , Ali Pourmiri , Seyed Pooya Shariatpanahi

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

Probability · Mathematics 2018-08-23 Refael Hassin , Liron Ravner

We investigate the stability condition for redundancy-d systems where each of the servers follows a processor-sharing (PS) discipline. We allow for generally distributed job sizes, with possible dependence among the d replica sizes being…

Probability · Mathematics 2020-03-09 Youri Raaijmakers , Sem Borst , Onno Boxma

In small cell networks, high mobility of users results in frequent handoff and thus severely restricts the data rate for mobile users. To alleviate this problem, we propose to use heterogeneous, two-tier network structure where static users…

Networking and Internet Architecture · Computer Science 2020-07-22 Arpan Chattopadhyay , Bartłomiej Błaszczyszyn , Eitan Altman

In this paper, we introduce a model of dynamical queue, in which the service time depends on the server utilization history. The proposed queueing model is motivated by widely accepted empirical laws describing human performance as a…

Optimization and Control · Mathematics 2015-03-13 Ketan Savla , Emilio Frazzoli

In this chapter, we study the consistency of the value of information$\unicode{x2014}$a semantic metric that claims to determine the right piece of information in networked control systems tasks$\unicode{x2014}$in a lossy and delayed…

Information Theory · Computer Science 2024-03-19 Touraj Soleymani , John S. Baras , Siyi Wang , Sandra Hirche , Karl H. Johansson

Having timely and fresh knowledge about the current state of information sources is critical in a variety of applications. In particular, a status update may arrive at the destination much later than its generation time due to processing…

Information Theory · Computer Science 2019-06-14 Alireza Javani , Marwen Zorgui , Zhiying Wang

Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small changes in the training data. Stability plays a crucial role in understanding generalization,…

Statistics Theory · Mathematics 2026-01-21 Abhinav Chakraborty , Yuetian Luo , Rina Foygel Barber

We consider the load balancing problem in large-scale heterogeneous systems with multiple dispatchers. We introduce a general framework called Local-Estimation-Driven (LED). Under this framework, each dispatcher keeps local (possibly…

Performance · Computer Science 2020-02-21 Xingyu Zhou , Ness Shroff , Adam Wierman

We study a dynamic matching setting where homogeneous agents arrive at random according to a Poisson process and randomly form edges yielding a sparse market. Agents stay in the market according to a certain sojourn time and wait to be…

Data Structures and Algorithms · Computer Science 2025-11-27 Johannes Bäumler , Martin Bullinger , Stefan Kober , Donghao Zhu

In this paper, we study the trade-off between reliability and latency in machine type communication (MTC), which consists of single transmitter and receiver in the presence of Rayleigh fading channel. We assume that the transmitter does not…

Networking and Internet Architecture · Computer Science 2020-03-26 Fahad Qasmi , Mohammad Shehab , Hirley Alves , Matti Latva-aho

We consider a system where packets (jobs) arrive for processing using one of the policies in a given class. We study the connection between the minimal evacuation times and the stability region of the system under the given class of…

Networking and Internet Architecture · Computer Science 2012-11-21 Leonidas Georgiadis , Georgios S. Paschos , Lavy Libman , Leandros Tassiulas

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

This note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model…

Optimization and Control · Mathematics 2018-02-19 Li Jin , Saurabh Amin

Owing to data-intensive large-scale applications, distributed computation systems have gained significant recent interest, due to their ability of running such tasks over a large number of commodity nodes in a time efficient manner. One of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-23 Mohamed A. Attia , Ravi Tandon

In this paper we develop scheduling policies that maximize the stability region of a wireless network under the assumption that mutual information accumulation is implemented at the physical layer. When the link quality between nodes is not…

Information Theory · Computer Science 2012-07-17 Jing Yang , Yanpei Liu , Stark C. Draper

We propose a model for heterogeneous cellular networks assuming a space-time Poisson process of call arrivals, independently marked by data volumes, and served by different types of base stations (having different transmission powers)…

Networking and Internet Architecture · Computer Science 2015-10-15 Bartlomiej Blaszczyszyn , Miodrag Jovanovic , Mohamed Kadhem Karray

We consider a heterogeneous queueing system consisting of one large pool of $O(r)$ identical servers, where $r\to\infty$ is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in…

Probability · Mathematics 2011-05-04 David Gamarnik , Alexander Stolyar

In geographically-distributed systems, communication latencies are non-negligible. The perceived processing time of a request is thus composed of the time needed to route the request to the server and the true processing time. Once a…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-11 Piotr Skowron , Krzysztof Rzadca
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