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We study decision timing problems on finite horizon with Poissonian information arrivals. In our model, a decision maker wishes to optimally time her action in order to maximize her expected reward. The reward depends on an unobservable…

Optimization and Control · Mathematics 2012-05-07 Michael Ludkovski , Semih Sezer

Two independent Poisson streams of jobs flow into a single-server service system having a limited common buffer that can hold at most one job. If a type-i job (i=1,2) finds the server busy, it is blocked and routed to a separate type-i…

Discrete Mathematics · Computer Science 2012-06-26 Konstantin Avrachenkov , Philippe Nain , Uri Yechiali

Space debris is a major problem in space exploration. International bodies continuously monitor a large database of orbiting objects and emit warnings in the form of conjunction data messages. An important question for satellite operators…

Machine Learning · Statistics 2023-03-28 Francisco Caldas , Cláudia Soares , Cláudia Nunes , Marta Guimarães

We study the scaling laws for the throughputs and delays of two coexisting wireless networks that operate in the same geographic region. The primary network consists of Poisson distributed legacy users of density n, and the secondary…

Information Theory · Computer Science 2008-05-09 Changchuan Yin , Long Gao , Shuguang Cui

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman

We develop a framework for communication-control co-design in a wireless networked control system with multiple geographically separated controllers and controlled systems, modeled via a Poisson point process. Each controlled system…

Information Theory · Computer Science 2024-12-02 Gourab Ghatak , Geethu Joseph , Chen Quan

Quality of service (QoS) provisioning in next-generation mobile communications systems entails a deep understanding of the delay performance. The delay in wireless networks is strongly affected by the traffic arrival process and the service…

Information Theory · Computer Science 2018-04-23 Marios Kountouris , Nikolaos Pappas , Apostolos Avranas

The Markov-modulated Poisson process is utilised for count modelling in a variety of areas such as queueing, reliability, network and insurance claims analysis. In this paper, we extend the Markov-modulated Poisson process framework through…

Risk Management · Quantitative Finance 2020-08-06 Benjamin Avanzi , Greg Taylor , Bernard Wong , Alan Xian

Consider the communication of a single-user aided by a nearby relay involved in a large wireless network where the nodes form an homogeneous Poisson point process. Since this network is interference-limited the asymptotic error probability…

Information Theory · Computer Science 2011-03-14 Andres Altieri , Leonardo Rey Vega , Cecilia G. Galarza , Pablo Piantanida

In a circuit-switched network, traffic can be characterized by several factors that define how communication resources are allocated and utilized during a connection. The amount of traffic basically determines how frequently connection…

Networking and Internet Architecture · Computer Science 2025-03-19 Paresh Upadhyay , Yatindra Nath Singh

This paper studies the network throughput and transport delay of a multihop wireless random access network based on a Markov renewal model of packet transportation. We show that the distribution of the source-to-destination (SD) distance…

Networking and Internet Architecture · Computer Science 2008-05-12 Lin Dai , Tony T. Lee

Efficient spectrum use in wireless sensor networks through spatial reuse requires effective models of packet reception at the physical layer in the presence of interference. Despite recent progress in analytic and simulations research into…

Networking and Internet Architecture · Computer Science 2014-05-19 Helga Gudmundsdottir , Eyjólfur I Ásgeirsson , Marijke H. L. Bodlaender , Joseph T. Foley , Magnús M. Halldórsson , Ymir Vigfusson

Space debris is a major problem in space exploration. International bodies continuously monitor a large database of orbiting objects and emit warnings in the form of conjunction data messages. An important question for satellite operators…

Instrumentation and Methods for Astrophysics · Physics 2021-12-22 Francisco Caldas , Claudia Soares , Cláudia Nunes , Marta Guimarães , Mariana Filipe , Rodrigo Ventura

A stochastic model for a mobile network is studied. Users enter the network, and then perform independent Markovian routes between nodes where they receive service according to the Processor-Sharing policy. Once their service requirement is…

Probability · Mathematics 2010-01-14 Florian Simatos , Danielle Tibi

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

The traffic in wireless networks has become diverse and fluctuating both spatially and temporally due to the emergence of new wireless applications and the complexity of scenarios. The purpose of this paper is to quantitatively analyze the…

Networking and Internet Architecture · Computer Science 2020-08-27 Gang Wang , Yi Zhong , Rongpeng Li , Xiaohu Ge , Tony Q. S. Quek , Guoqiang Mao

A statistical model of interference in wireless networks is considered, which is based on the traditional propagation channel model and a Poisson model of random spatial distribution of nodes in 1-D, 2-D and 3-D spaces with both uniform and…

Information Theory · Computer Science 2009-06-01 Vladimir Mordachev , Sergey Loyka

We analyze a model of relay-augmented cellular wireless networks. The network users, who move according to a general mobility model based on a Poisson point process of continuous trajectories in a bounded domain, try to communicate with a…

Probability · Mathematics 2016-02-16 Christian Hirsch , Benedikt Jahnel , Paul Keeler , Robert I. A. Patterson

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 stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the best mean signal power. The mobile is in outage if the SINR…

Probability · Mathematics 2010-09-03 Laurent Decreusefond , Philippe Martins , Than-Tung Vu