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We introduce a rate balance principle for general (not necessarily Markovian) stochastic processes. Special attention is given to processes with birth and death like transitions, for which it is shown that for any state $i$, the rate of two…

概率论 · 数学 2015-10-12 Binyamin Oz , Ivo Adan , Moshe Haviv

Multicore parallel programming has some very difficult problems such as deadlocks during synchronizations and race conditions brought by concurrency. Added to the difficulty is the lack of a simple, well-accepted computing model for…

编程语言 · 计算机科学 2010-12-09 Yibing Wang

The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

动力系统 · 数学 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

In a wireless sensor network, nodes communicate time-stamped packets in order to synchronize their clocks, i.e., estimate each other's time display. We introduce and analyze a parametrized stochastic model for clocks and use it to…

网络与互联网体系结构 · 计算机科学 2013-11-28 Nikolaos Freris , Vivek Borkar , P. R. Kumar

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…

概率论 · 数学 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

We investigate a computer network consisting of two layers occurring in, for example, application servers. The first layer incorporates the arrival of jobs at a network of multi-server nodes, which we model as a many-server Jackson network.…

概率论 · 数学 2014-04-29 Maria Vlasiou , Jiheng Zhang , Bert Zwart

In this paper, we consider the occupancy distribution for an open network of infinite server queues with multivariate batch arrivals following a non-homogeneous Poisson process, and general service time distributions. We derive a…

概率论 · 数学 2023-03-29 Somya Mehra , Peter G. Taylor

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

最优化与控制 · 数学 2025-09-09 Dongnuan Tian , Rob Shone

We investigate networks of automata that synchronise over common action labels. A graph synchronisation topology between the automata is defined in such a way that two automata are connected iff they can synchronise over an action. We show…

计算机科学中的逻辑 · 计算机科学 2020-12-10 Laure Petrucci , Michał Knapik

We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

神经元与认知 · 定量生物学 2025-03-25 Arkady Pikovsky , Michael Rosenblum

The paper introduces PDSP-Bench, a novel benchmarking system designed for a systematic understanding of performance of parallel stream processing in a distributed environment. Such an understanding is essential for determining how Stream…

分布式、并行与集群计算 · 计算机科学 2025-04-16 Pratyush Agnihotri , Boris Koldehofe , Roman Heinrich , Carsten Binnig , Manisha Luthra

This paper addresses the problem of scheduling a set of jobs that are released over the time on a set of identical parallel machines, aiming at the minimization of the total weighted completion time. This problem, referred to as $P|r_j|\sum…

最优化与控制 · 数学 2020-06-30 Arthur Kramer , Mauro Dell'Amico , Dominique Feillet , Manuel Iori

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

离散数学 · 计算机科学 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

We consider stochastic processes arising from dynamical systems simply by evaluating an observable function along the orbits of the system and study marked point processes associated to extremal observations of such time series…

We characterize numerically the regime of anticipated synchronization in the coupled FitzHugh-Nagumo model for neurons. We consider two neurons, coupled unidirectionally (in a master-slave configuration), subject to the same random external…

凝聚态物理 · 物理学 2009-11-07 Raul Toral , C. Masoller , Claudio R. Mirasso , M. Ciszak , O. Calvo

We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local…

概率论 · 数学 2023-03-21 Sonja Otten

Optimal sensor scheduling with applications to networked estimation and control systems is considered. We model sensor measurement and transmission instances using jumps between states of a continuous-time Markov chain. We introduce a cost…

最优化与控制 · 数学 2014-05-07 Farhad Farokhi , Karl H. Johansson

This paper develops a novel spatiotemporal model for large-scale IoT networks with asynchronous periodic traffic and hard-packet deadlines. A static marked Poisson bipolar point process is utilized to model the spatial locations of the IoT…

信息论 · 计算机科学 2020-06-11 Hesham ElSawy

We study a class of systems termed Markov Machines (MM) which process job requests with exponential service times. Assuming a Poison job arrival process, these MMs oscillate between two states, free and busy. We consider the problem of…

信息论 · 计算机科学 2025-01-31 Sahan Liyanaarachchi , Sennur Ulukus

Synchronization is an important behavior that characterizes many natural and human made systems composed by several interacting units. It can be found in a broad spectrum of applications, ranging from neuroscience to power-grids, to mention…

适应与自组织系统 · 物理学 2025-10-22 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani