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Let $G$ be a graph on $n$ nodes. In the stochastic population protocol model, a collection of $n$ indistinguishable, resource-limited nodes collectively solve tasks via pairwise interactions. In each interaction, two randomly chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-13 Dan Alistarh , Rati Gelashvili , Joel Rybicki

Solving population balance equations, we derive analytical steady-state cell size distributions for single-lineage experiments, such as the mother machine. These experiments are fundamentally different from batch cultures where populations…

Populations and Evolution · Quantitative Biology 2023-09-13 Arthur Genthon

Population protocols are a model for distributed computing that is focused on simplicity and robustness. A system of $n$ identical agents (finite state machines) performs a global task like electing a unique leader or determining the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-24 Petra Berenbrink , Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Peter Kling , Tomasz Radzik

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

In population protocols, the underlying distributed network consists of $n$ nodes (or agents), denoted by $V$, and a scheduler that continuously selects uniformly random pairs of nodes to interact. When two nodes interact, their states are…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-26 Stav Ben-Nun , Tsvi Kopelowitz , Matan Kraus , Ely Porat

Distributed computing models typically assume reliable communication between processors. While such assumptions often hold for engineered networks, e.g., due to underlying error correction protocols, their relevance to biological systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Ofer Feinerman , Bernhard Haeupler , Amos Korman

We study exact majority consensus in the population protocol model. In this model, the system is described by a graph $G = (V,E)$ with $n$ nodes, and in each time step, a scheduler samples uniformly at random a pair of adjacent nodes to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Joel Rybicki , Jakob Solnerzik , Olivier Stietel , Robin Vacus

The traditional models of distributed computing focus mainly on networks of computer-like devices that can exchange large messages with their neighbors and perform arbitrary local computations. Recently, there is a trend to apply…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-06 Yuval Emek , Jasmin Smula , Roger Wattenhofer

We study distributed agreement in microbial distributed systems under stochastic population dynamics and competitive interactions. Motivated by recent applications in synthetic biology, we examine how the presence and absence of direct…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-10 Victoria Andaur , Janna Burman , Matthias Függer , Manish Kushwaha , Bilal Manssouri , Thomas Nowak , Joel Rybicki

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

Populations and Evolution · Quantitative Biology 2024-08-21 Yaïr Hein , Farshid Jafarpour

The rapid development of parallel and distributed computing paradigms has brought about great revolution in computing. Thanks to the intrinsic parallelism of evolutionary computation (EC), it is natural to implement EC on parallel and…

Neural and Evolutionary Computing · Computer Science 2023-04-13 Wei-Neng Chen , Feng-Feng Wei , Tian-Fang Zhao , Kay Chen Tan , Jun Zhang

This study develops an algorithm for distributed computing of linear programming problems of huge-scales. Global consensus with single common variable, multiblocks, and augmented Lagrangian are adopted. The consensus is used to partition…

Optimization and Control · Mathematics 2025-08-07 Luoyi Tao

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We study distributed plurality consensus among $n$ nodes, each of which initially holds one of $k$ opinions. The goal is to eventually agree on the initially dominant opinion. We consider an asynchronous communication model in which each…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-17 Gregor Bankhamer , Robert Elsässer , Dominik Kaaser , Matjaž Krnc

This paper develops methods of distributed Bayesian hypothesis tests for fault detection and diagnosis that are based on belief propagation and optimization in graphical models. The main challenges in developing distributed statistical…

Systems and Control · Computer Science 2015-01-20 Kwang-Ki K. Kim

We study population protocols, a model of distributed computing appropriate for modeling well-mixed chemical reaction networks and other physical systems where agents exchange information in pairwise interactions, but have no control over…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 David Doty , Mahsa Eftekhari , Eric Severson

With rapid growth in the amount of unstructured data produced by memory-intensive applications, large scale data analytics has recently attracted increasing interest. Processing, managing and analyzing this huge amount of data poses several…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-29 Farshid Farhat , Diman Zad Tootaghaj , Mohammad Arjomand

A population protocol can be viewed as a sequence of pairwise interactions of $n$ agents (nodes). During one interaction, two agents selected uniformly at random update their states by applying a specified deterministic transition function.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-12 Petra Berenbrink , Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Peter Kling , Tomasz Radzik

The design of biologically-inspired wireless communication systems using bacteria as the basic element of the system is initially motivated by a phenomenon called \emph{Quorum Sensing}. Due to high randomness in the individual behavior of a…

Information Theory · Computer Science 2016-11-17 Arash Einolghozati , Mohsen Sardari , Faramarz Fekri