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We consider a rare event monitoring system consisting of a set of devices and a base station, where devices transmit information about rare events to the base station using a random multiple access scheme. We introduce a model in which the…

Information Theory · Computer Science 2025-07-17 Sergey Foss , Dmitriy Kim , Andrey Turlikov

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

Probability · Mathematics 2016-09-09 Lam Nguyen , Alexander Stolyar

We develop a stochastic foundation for bandwidth estimation of networks with random service, where bandwidth availability is expressed in terms of bounding functions with a defined violation probability. Exploiting properties of a…

Networking and Internet Architecture · Computer Science 2010-08-03 Ralf Lübben , Markus Fidler , Jörg Liebeherr

In this letter, we obtain the stable throughput region for a cognitive relaying scheme with a finite relaying buffer and imperfect sensing. The analysis investigates the effect of the secondary user's finite relaying capabilities under…

Networking and Internet Architecture · Computer Science 2018-03-20 Ahmed M. Alaa

A multiple access system with bursty data arrivals to the terminals is considered. The users are frame-synchronized, with variable sized packets independently arriving in each slot at every transmitter. Each packet needs to be delivered to…

Information Theory · Computer Science 2016-11-29 Sakshi Kapoor , Sreejith Sreekumar , Sibi Raj B Pillai

This paper studies the effect of an overdispersed arrival process on the performance of an infinite-server system. In our setup, a random environment is modeled by drawing an arrival rate $\Lambda$ from a given distribution every $\Delta$…

Probability · Mathematics 2016-02-02 Mariska Heemskerk , Johan van Leeuwaarden , Michel Mandjes

We study connectivity properties in a probabilistic model for a large mobile ad-hoc network. We consider a large number of participants of the system moving randomly, independently and identically distributed in a large domain, with a…

Probability · Mathematics 2016-06-07 Hanna Döring , Gabriel Faraud , Wolfgang König

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Timeliness is an emerging requirement for many Internet of Things (IoT) applications. In IoT networks, where a large-number of nodes are distributed, severe interference may incur during the transmission phase which causes age of…

Information Theory · Computer Science 2021-02-24 Xinghua Sun , Fangming Zhao , Howard H. Yang , Wen Zhan , Xijun Wang , Tony Q. S. Quek

Complex systems exhibiting critical transitions when one of their governing parameters varies are ubiquitous in nature and in engineering applications. Despite a vast literature focusing on this topic, there are few studies dealing with the…

Fluid Dynamics · Physics 2018-03-08 Giacomo Bonciolini , Dominik Ebi , Edouard Boujo , Nicolas Noiray

We discuss ways to measure duration in a power transmission system resilience event by modeling outage and restore processes from utility data. We introduce novel Poisson process models that describe how resilience events progress and…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Ian Dobson , Svetlana Ekisheva

The busy period length distribution function knowledge is important for any queue system, and for the MGINF queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and…

Probability · Mathematics 2022-09-13 Manuel Alberto M. Ferreira

Feedback dynamic routing is a commonly used control strategy in transportation systems. This class of control strategies relies on real-time information about the traffic state in each link. However, such information may not always be…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Qian Xie , Li Jin

This paper proposes an adaptive transmission algorithm for slotted random access systems supporting the successive interference cancellation (SIC) at the access point (AP). When multiple users transmit packets simultaneously in a slot,…

Information Theory · Computer Science 2020-01-13 Sang-Woon Jeon , Hu Jin

In this technical report, we analyze the performance of an interference-aware opportunistic relay selection protocol for multi-hop line networks which is based on the following simple rule: a node always transmits if it has a packet, except…

Networking and Internet Architecture · Computer Science 2012-07-18 Kostas Stamatiou , Davide Chiarotto , Federico Librino , Michele Zorzi

Contemporary technological challenges often involve many degrees of freedom in a distributed or networked setting. Three aspects are notable: the variables are usually associated with the nodes of a graph with limited communication…

Statistical Mechanics · Physics 2017-08-30 Nicolas Allegra , Bassam Bamieh , Partha P. Mitra , Clément Sire

We examine the impact of torpid mixing and meta-stability issues on the delay performance in wireless random-access networks. Focusing on regular meshes as prototypical scenarios, we show that the mean delays in an $L\times L$ toric grid…

Probability · Mathematics 2013-07-08 Alessandro Zocca , Sem C. Borst , Johan S. H. van Leeuwaarden , Francesca R. Nardi

Dynamic Source Routing (DSR) is a well known source routing protocol for ad hoc networks. The algorithm depends on the cooperative participation of the nodes that enables route discovery from a source node to a destination node. However, if…

Cryptography and Security · Computer Science 2012-09-09 Jaydip Sen

External and internal factors may cause a system's parameter to vary with time before it stabilizes. This drift induces a regime shift when the parameter crosses a bifurcation. Here, we study the case of an infinite dimensional system: a…

Chaotic Dynamics · Physics 2020-10-14 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

In road traffic networks, large traffic volumes may lead to extreme delays. These severe delays are caused by the fact that, whenever the maximum capacity of a road is approached, speeds drop rapidly. Therefore, the focus in this paper is…

Optimization and Control · Mathematics 2023-06-08 Nikki Levering , Rudesindo Núñez-Queija
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