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The Poisson process is the most elementary continuous-time stochastic process that models a stream of repeating events. It is uniquely characterised by a single parameter called the rate. Instead of a single value for this rate, we here…

Probability · Mathematics 2019-06-05 Alexander Erreygers , Jasper De Bock

Shared Memory is a mechanism that allows several processes to communicate with each other by accessing -- writing or reading -- a set of variables that they have in common. A Consistency Model defines how each process observes the state of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Jordi Bataller Mascarell

This paper presents a time-invariant network flow model capturing two-person ride-pooling that can be integrated within design and planning frameworks for Mobility-on-Demand systems. In these type of models, the arrival process of travel…

Optimization and Control · Mathematics 2024-01-25 Fabio Paparella , Leonardo Pedroso , Theo Hofman , Mauro Salazar

We consider a server connected to $L$ users over a shared finite capacity link. Each user is equipped with a cache. File requests at the users are generated as independent Poisson processes according to a popularity profile from a library…

Performance · Computer Science 2018-04-30 Mahadesh Panju , Ramkumar Raghu , Vinod Sharma , Rajesh Ramachandran

A common assumption when modeling queuing systems is that arrivals behave like a Poisson process with constant parameter. In practice, however, call arrivals are often observed to be significantly overdispersed. This motivates that in this…

Probability · Mathematics 2017-03-07 Mariska Heemskerk , Julia Kuhn , Michel Mandjes

Contrary to the conclusions of a recent body of work where approximate shortest remaining processing time first (SRPT) flow scheduling is advocated for datacenter networks, this paper aims to demonstrate that per-flow fairness remains a…

Networking and Internet Architecture · Computer Science 2022-10-04 James Roberts , Dario Rossi

In Internet of Things (IoT), the decision timeliness of time-sensitive applications is jointly affected by the statistics of update process and decision process. This work considers an update-and-decision system with a Poisson-arrival…

Information Theory · Computer Science 2022-04-01 Shutong Chen , Tianci Zhang , Zhengchuan Chen , Yunquan Dong , Min Wang , Yunjian Jia , Tony Q. S. Quek

We introduce SwiftCache, a "fresh" learning-based caching framework designed for content distribution networks (CDNs) featuring distributed front-end local caches and a dynamic back-end database. Users prefer the most recent version of the…

Optimization and Control · Mathematics 2024-02-28 Bahman Abolhassani , Atilla Eryilmaz , Tom Hou

The repeated presentation of an identical visual stimulus in the receptive field of a neuron may evoke different spiking patterns at each trial. Probabilistic methods are essential to understand the functional role of this variance within…

Neurons and Cognition · Quantitative Biology 2016-11-15 Wahiba Taouali , Giacomo Benvenuti , Pascal Wallisch , Frédéric Chavane , Laurent Perrinet

A service system with multiple types of customers, arriving as Poisson processes, is considered. The system has infinite number of servers, ranked by $1,2,3, \ldots$; a server rank is its ``location." Each customer has an independent…

Probability · Mathematics 2025-02-21 Alexander Stolyar

We study a queueing network with a single shared server that serves the queues in a cyclic order. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the…

Probability · Mathematics 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

The problem to accurately and parsimoniously characterize random series of events (RSEs) present in the Web, such as e-mail conversations or Twitter hashtags, is not trivial. Reports found in the literature reveal two apparent conflicting…

Machine Learning · Statistics 2016-02-23 Rodrigo A S Alves , Renato Assunção , Pedro O S Vaz de Melo

We present a modeling framework for dynamical and bursty contact networks made of agents in social interaction. We consider agents' behavior at short time scales, in which the contact network is formed by disconnected cliques of different…

Physics and Society · Physics 2010-03-09 Juliette Stehle , Alain Barrat , Ginestra Bianconi

We feel happy when web-browsing operations provide us with necessary information; otherwise, we feel bitter. How to measure this happiness (or bitterness)? How does the profile of happiness grow and decay during the course of web-browsing?…

Human-Computer Interaction · Computer Science 2015-05-13 Anirban Banerji , Aniket Magarkar

We study the problem of strategic choice of arrival time to a single-server queue with opening and closing times when there is uncertainty regarding service speed. A Poisson population of customers choose their arrival time with the goal of…

Probability · Mathematics 2021-01-01 Liron Ravner , Yutaka Sakuma

Work sharing and work stealing are two scheduling paradigms to redistribute work when performing distributed computations. In work sharing, processors attempt to migrate pending jobs to other processors in the hope of reducing response…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Benny Van Houdt

We study the performance of random linear network coding for time division duplexing channels with Poisson arrivals. We model the system as a bulk-service queue with variable bulk size. A full characterization for random linear network…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at the various queues depend on the server location. For this…

Probability · Mathematics 2014-08-04 Marko Boon , Sandra van Wijk , Ivo Adan , Onno Boxma

Adjoint algorithmic differentiation by operator and function overloading is based on the interpretation of directed acyclic graphs resulting from evaluations of numerical simulation programs. The size of the computer system memory required…

Mathematical Software · Computer Science 2022-07-15 Uwe Naumann

Allocation of (redundant) file chunks throughout a distributed storage system affects important performance metrics such as the probability of file recovery, data download time, or the service rate of the system under a given data access…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-24 Pei Peng , Emina Soljanin