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Real-time systems increasingly use multicore processors in order to satisfy thermal, power, and computational requirements. To exploit the architectural parallelism offered by the multicore processors, parallel task models, scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-28 Niklas Ueter , Mario Günzel , Jian-Jia Chen

Parallel real-time systems (e.g., autonomous driving systems) often contain functionalities with complex dependencies and execution uncertainties, leading to significant timing variability which can be represented as a probabilistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Yiyang Gao , Shuai Zhao , Boyang Li , Xinwei Fang , Zhiyang Lin , Zhe Jiang , Nan Guan

This paper introduces a parallel scheduling problem where a directed acyclic graph modeling $t$ tasks and their dependencies needs to be executed on $n$ unreliable workers. Worker $i$ executes task $j$ correctly with probability $p_{i,j}$.…

Data Structures and Algorithms · Computer Science 2007-05-23 Grzegorz Malewicz

Directed acyclic graphs (DAGs) constitute a central modeling tool to enable principled reasoning about cause-effect interactions in complex systems. However, since the causal structure underlying a group of variables is often unknown and…

Machine Learning · Statistics 2026-05-25 Gonzalo Mateos , Samuel Rey , Hamed Ajorlou , Mariano Tepper

A parallel program can be represented as a directed acyclic graph. An important performance bound is the time to execute the critical path through the graph. We show how this performance metric is related to Amdahl speedup and the degree of…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-21 Neil J. Gunther

With the advent of the modern mobile traffic, e.g., online gaming, augmented reality delivery and etc., a novel bidirectional computation task model where the input data of each task consists of two parts, one generated at the mobile device…

Information Theory · Computer Science 2020-01-14 Yaping Sun , Lyutianyang Zhang , Zhiyong Chen , Sumit Roy

We present practical linear and almost linear-time algorithms to compute a chain decomposition of a directed acyclic graph (DAG), $G=(V,E)$. The number of vertex-disjoint chains computed is very close to the minimum. The time complexity of…

Data Structures and Algorithms · Computer Science 2022-12-09 Giorgos Kritikakis , Ioannis G. Tollis

DAG (directed acyclic graph) tasks are widely used to model parallel real-time workload. The real-time performance of a DAG task not only depends on its total workload, but also its graph structure. Intuitively, with the same total…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-26 Qingqiang He , Nan Guan , Mingsong Lv

We consider a cost sharing problem on a weighted directed acyclic graph (DAG) with a source node to which all the other nodes want to connect. The cost (weight) of each edge is private information reported by multiple contractors, and among…

Computer Science and Game Theory · Computer Science 2023-11-16 Tianyi Zhang , Dengji Zhao , Junyu Zhang , Sizhe Gu

NextG (5G and beyond) networks, through the increasing integration of cloud/edge computing technologies, are becoming highly distributed compute platforms ideally suited to host emerging resource-intensive and latency-sensitive applications…

Networking and Internet Architecture · Computer Science 2025-10-14 Alessandro Mauro , Antonia Maria Tulino , Jaime Llorca

The Minimum Path Cover (MPC) problem consists of finding a minimum-cardinality set of node-disjoint paths that cover all nodes in a given graph. We explore a variant of the MPC problem on acyclic digraphs (DAGs) where, given a subset of…

Discrete Mathematics · Computer Science 2025-01-17 Nour ElHouda Tellache , Roberto Baldacci

Acceleration of graph applications on GPUs has found large interest due to the ubiquitous use of graph processing in various domains. The inherent \textit{irregularity} in graph applications leads to several challenges for parallelization.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-02 Ananya Raval , Rupesh Nasre , Vivek Kumar , Vasudevan R , Sathish Vadhiyar , Keshav Pingali

Directed Acyclic Graphical (DAG) models efficiently formulate causal relationships in complex systems. Traditional DAGs assume nodes to be scalar variables, characterizing complex systems under a facile and oversimplified form. This paper…

Methodology · Statistics 2024-04-23 Tian Lan , Ziyue Li , Junpeng Lin , Zhishuai Li , Lei Bai , Man Li , Fugee Tsung , Rui Zhao , Chen Zhang

We study the problem of scheduling a general computational DAG on multiple processors in a 2-level memory hierarchy. This setting is a natural generalization of several prominent models in the literature, and it simultaneously captures…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-24 Pál András Papp , Toni Böhnlein , A. N. Yzelman

This paper considers the scheduling of parallel real-time tasks with arbitrary-deadlines. Each job of a parallel task is described as a directed acyclic graph (DAG). In contrast to prior work in this area, where decomposition-based…

Operating Systems · Computer Science 2017-12-15 Niklas Ueter , Georg von der Brüggen , Jian-Jia Chen , Jing Li , Kunal Agrawal

Modern embedded systems have made the transition from single-core to multi-core architectures, providing performance improvement via parallelism rather than higher clock frequencies. DAGs are considered among the most generic task models in…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-05 José Marinho , Stefan M. Petters

The scalability and efficiency of graph applications are significantly constrained by conventional systems and their supporting programming models. Technology trends like multicore, manycore, and heterogeneous system architectures are…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-22 Chirag Dekate , Matthew Anderson , Maciej Brodowicz , Hartmut Kaiser , Bryce Adelstein-Lelbach , Thomas Sterling

Multi-access Edge Computing (MEC) is an enabling technology to leverage new network applications, such as virtual/augmented reality, by providing faster task processing at the network edge. This is done by deploying servers closer to the…

Networking and Internet Architecture · Computer Science 2023-11-28 Gabriel F. C. de Queiroz , José F. de Rezende , Valmir C. Barbosa

Many scientific workflows can be represented by a Directed Acyclic Graph (DAG) where each node represents a task, and there will be a directed edge between two tasks if and only if there is a dependency relationship between the two i.e. the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Atharva Tekawade , Suman Banerjee

Direct Acyclic Graph (DAG)-based ledger and the corresponding consensus algorithm has been identified as a promising technology for Internet of Things (IoT). Compared with Proof-of-Work (PoW) and Proof-of-Stake (PoS) that have been widely…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Yixin Li , Bin Cao , Mugen Peng , Long Zhang , Lei Zhang , Daquan Feng , Jihong Yu