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The current paper is a corrected version of our previous paper arXiv:adap-org/9608001. Similarly to previous version we investigate the problem of flame propagation. This problem is studied as an example of unstable fronts that wrinkle on…

Chaotic Dynamics · Physics 2013-04-23 Oleg Kupervasser , Zeev Olami

Collisions with hidden terminals is a major cause of performance degradation in 802.11 and likewise wireless networks. Carrier sense multiple access with collision avoidance (CSMA/CA) is utilized to avoid collisions at the cost of spatial…

Networking and Internet Architecture · Computer Science 2014-01-30 Zhiyi Zhou , Dongning Guo , Michael L. Honig

The demand for distributed applications has significantly increased over the past decade, with improvements in machine learning techniques fueling this growth. These applications predominantly utilize Cloud data centers for high-performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-02 Narges Mehran , Dragi Kimovski , Hermann Hellwagner , Dumitru Roman , Ahmet Soylu , Radu Prodan

This paper presents two remarkable phenomena associated with the heat equation with a time delay: namely, the propagation of singularities and periodicity. These are manifested through a distinctive mode of propagation of singularities in…

Analysis of PDEs · Mathematics 2025-02-27 Gengsheng Wang , Huaiqiang Yu , Yubiao Zhang

Program correctness is one of the most difficult challenges in parallel programming. Message Passing Interface MPI is widely used in writing parallel applications. Since MPI is not a compiled language, the programmer will be enfaced with…

Programming Languages · Computer Science 2013-11-05 Alaa I. El-Nashar , Nakamura Masaki

Consider the following broadcasting process run on a connected graph $G=(V,E)$. Suppose that $k \ge 2$ agents start on vertices selected from $V$ uniformly and independently at random. One of the agents has a message that she wants to…

Combinatorics · Mathematics 2022-02-28 Reaz Huq , Pawel Pralat

We study a simple model of how social behaviors, like trends and opinions, propagate in networks where individuals adopt the trend when they are informed by threshold $T$ neighbors who are adopters. Using a dynamic message-passing…

Physics and Society · Physics 2015-06-18 Munik Shrestha , Cristopher Moore

Mobile instant messengers such as WhatsApp use delivery status notifications in order to inform users if a sent message has successfully reached its destination. This is useful and important information for the sender due to the often…

Cryptography and Security · Computer Science 2022-10-20 Theodor Schnitzler , Katharina Kohls , Evangelos Bitsikas , Christina Pöpper

This paper studies periodic event-triggered networked control for nonlinear systems, where the plants and controllers are connected by multiple independent communication channels. Several network-induced imperfections are considered…

Optimization and Control · Mathematics 2021-11-23 Hao Yu , Tongwen Chen

Delayed interactions are a common property of coupled natural systems and therefore arise in a variety of different applications. For instance, signals in neural or laser networks propagate at finite speed giving rise to delayed…

Dynamical Systems · Mathematics 2015-06-12 Leonhard Lücken , Jan Philipp Pade , Kolja Knauer , Serhiy Yanchuk

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

We study in this paper the impact of communication latency on the classical Work Stealing load balancing algorithm. Our approach considers existing performance models and the underlying algorithms. We introduce a latency parameter in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-07 Mohammed Khatiri , Denis Trystram , Frederic Wagner

Much of the software we use in everyday life consists of distributed components (running on separate cores or even computers) that collaborate through communication (by exchanging messages). It is crucial to develop robust methods that can…

Logic in Computer Science · Computer Science 2024-03-04 Bas van den Heuvel

In this paper, we introduce a nonlinear stochastic model to describe the propagation of information inside a computer processor. In this model, a computational task is divided into stages, and information can flow from one stage to another.…

Probability · Mathematics 2024-11-26 Mohammad Daneshvar , Richard C. Barnard , Cory Hauck , Ilya Timofeyev

We study spreading processes in two-dimensional systems of heterogeneous active agents that exhibit different individual active speeds. We obtain, combining kinetic and complex network theory, an analytical expression for the spreading…

Biological Physics · Physics 2025-12-10 Benjamín Marcolongo , Gustavo J. Sibona , Fernando Peruani

Distributed delay equations have been used to model situations in which there is some sort of delay whose duration is uncertain. However, the interpretation of a distributed delay equation is actually very different from that of a delay…

Dynamical Systems · Mathematics 2021-06-23 Philip Doldo , Jamol Pender

In recent years, more and more applications use ad-hoc networks for local M2M communications, but in some cases such as when using WSNs, the software processing delay induced by packets relaying may not be negligible. In this paper, we…

Networking and Internet Architecture · Computer Science 2020-12-11 Taichi Miya , Kohta Ohshima , Yoshiaki Kitaguchi , Katsunori Yamaoka

In many embedded real-time systems, applications often interact with I/O devices via read/write operations, which may incur considerable suspension delays. Unfortunately, prior analysis methods for validating timing correctness in embedded…

Other Computer Science · Computer Science 2014-07-22 Guangmo Tong , Cong Liu

Dynamic resource management is an increasingly important capability of High Performance Computing systems, as it enables jobs to adjust their resource allocation at runtime. This capability can reduce workload makespan, substantially…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-28 Iker Martín-Álvarez , José I. Aliaga , Maribel Castillo

Meeting the diverse delay requirements of emerging wireless applications is one of the most critical goals for the design of ultradense networks. Though the delay of point-to-point communications has been well investigated using classical…

Information Theory · Computer Science 2018-04-20 Yi Zhong , Martin Haenggi , Fu-Chun Zheng , Wenyi Zhang , Tony Q. S. Quek , Weili Nie