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We present different classes of solutions to the Firing Squad Synchronization Problem on networks of different shapes. The nodes are finite state processors that work at unison discrete steps. The networks considered are the line, the ring…

Data Structures and Algorithms · Computer Science 2007-05-23 J. Gruska , S. La Torre , M. Napoli , M. Parente

We propose two uniform solutions to an open question: the Firing Squad Synchronization Problem (FSSP), for hyperdag and symmetric neural P systems, with anonymous cells. Our solutions take e_c+5 and 6e_c+7 steps, respectively, where e_c is…

Computational Engineering, Finance, and Science · Computer Science 2009-11-30 Michael J. Dinneen , Yun-Bum Kim , Radu Nicolescu

We construct a time-optimal quasi-solution of the firing mob synchronisation problem over finite, connected, and undirected multigraphs whose maximum degrees are uniformly bounded by a constant. It is only a quasi-solution because its…

Formal Languages and Automata Theory · Computer Science 2017-06-20 Simon Wacker

The wakeup problem in distributed computing asks for a symmetric protocol that enables one of several processors to eventually guarantee that all (or, in a more general setting, enough) other processors have acted, using a shared register…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 John Haslegrave , Paul A. Russell , Mark Walters

We study networks of processes that all execute the same finite-state protocol and communicate via broadcasts. We are interested in two problems with a parameterized number of processes: the synchronization problem which asks whether there…

Logic in Computer Science · Computer Science 2025-06-30 Lucie Guillou , Arnaud Sangnier , Nathalie Sznajder

Complex systems in a wide variety of areas such as biological modeling, image processing, and language recognition can be modeled using networks of very simple machines called finite automata. Connecting subsystems modeled using finite…

Formal Languages and Automata Theory · Computer Science 2017-01-05 Thiago Correa , Breno Gustavo , Lucas Lemos , Amber Settle

We solve the Firing Squad Synchronization Problem (FSSP), for P systems based on digraphs with simplex channels, where communication is restricted by the direction of structural arcs. Previous work on FSSP for P systems focused exclusively…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-18 Florentin Ipate , Radu Nicolescu , Ionut-Mihai Niculescu , Cristian Stefan

Sub-nanosecond precision clock synchronization over the packet network has been achieved by the White Rabbit protocol for a decade. However, few computer systems utilize such a technique. We try to attract more interest in the clock…

Networking and Internet Architecture · Computer Science 2021-07-01 Ying Zhang

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

Disordered Systems and Neural Networks · Physics 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

This paper studies an optimal ON-OFF control problem for a class of discrete event systems with real-time constraints. Our goal is to minimize the overall costs, including the operating cost and the wake-up cost, while still guaranteeing…

Optimization and Control · Mathematics 2018-09-07 Lei Miao , Lijian Xu , Dingde Jiang

Previous work has shown that there are two major complexity barriers in the synthesis of fault-tolerant distributed programs: (1) generation of fault-span, the set of states reachable in the presence of faults, and (2) resolving deadlock…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-15 Fuad Abujarad , Borzoo Bonakdarpour , Sandeep S. Kulkarni

An optimization problem that naturally arises in the study of swarm robotics is the Freeze-Tag Problem (FTP) of how to awaken a set of ``asleep'' robots, by having an awakened robot move to their locations. Once a robot is awake, it can…

Data Structures and Algorithms · Computer Science 2007-05-23 Esther M. Arkin , Michael A. Bender , Sandor P. Fekete , Joseph S. B. Mitchell , Martin Skutella

In this work, we define the generalized wake-up problem, $GWU(s)$, for a shared memory asynchronous system with $n$ processes. Informally, the problem, which is parametrized by an increasing sequence $s = s_1,\ldots,s_p$, asks that at least…

Data Structures and Algorithms · Computer Science 2022-07-18 Siddhartha Visveswara Jayanti

In this paper we improve the deterministic complexity of two fundamental communication primitives in the classical model of ad-hoc radio networks with unknown topology: broadcasting and wake-up. We consider an unknown radio network, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Artur Czumaj , Peter Davies

We consider the fundamental problem of clock synchronization in a synchronous multi-agent system. Each agent holds a clock with an arbitrary initial value, and clocks must eventually indicate the same value. Previous algorithms worked in…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-14 Bernadette Charron-Bost , Louis Penet de Monterno

We consider strongly-connected directed networks of identical synchronous, finite-state processors with in- and out-degree uniformly bounded by a network constant. Via a straightforward extension of Ostrovsky and Wilkerson's Backwards…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Darin Goldstein

We study the problem of monitoring distributed systems where computers communicate using message passing and share an almost synchronized clock. This is a realistic scenario for networks where the speed of the monitoring is sufficiently…

Logic in Computer Science · Computer Science 2023-02-06 Luis Miguel Danielsson , César Sánchez

We consider the External Clock Synchronization problem in dynamic sensor networks. Initially, sensors obtain inaccurate estimations of an external time reference and subsequently collaborate in order to synchronize their internal clocks…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-11 Ofer Feinerman , Amos Korman

In this study, we investigate a scheduling problem on identical machines in which jobs require initial setup before execution. We assume that an algorithm can dynamically form a batch (i.e., a collection of jobs to be processed together)…

Data Structures and Algorithms · Computer Science 2025-07-16 Yasushi Kawase , Kazuhisa Makino , Vinh Long Phan , Hanna Sumita
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