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When planning transportation whose operation requires non-consumable resources, the peak demand for allocated resources is often of higher interest than the duration of resource usage. For instance, it is more cost-effective to deliver…

Data Structures and Algorithms · Computer Science 2025-07-16 Mariia Anapolska , Emma Ahrens , Christina Büsing , Felix Engelhardt , Timo Gersing , Corinna Mathwieser , Sabrian Schmitz , Sophia Wrede

Mapping applications onto heterogeneous platforms is a difficult challenge, even for simple application patterns such as pipeline graphs. The problem is even more complex when processors are subject to failure during the execution of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-03-26 Anne Benoit , Veronika Rehn-Sonigo , Yves Robert

We study the problem of scheduling jobs on parallel machines minimizing the total completion time, with each job using exactly one resource. First, we derive fundamental properties of the problem and show that the problem is polynomially…

Discrete Mathematics · Computer Science 2018-11-19 T. Janssen , C. Swennenhuis , A. Bitar , T. Bosman , D. Gijswijt , L. van Iersel , S. Dauzére-Pérès , C. Yugma

The coflow scheduling problem has emerged as a popular abstraction in the last few years to study data communication problems within a data center. In this basic framework, each coflow has a set of communication demands and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Mosharaf Chowdhury , Samir Khuller , Manish Purohit , Sheng Yang , Jie You

Coflow is a recently proposed network abstraction for data-parallel computing applications. This paper considers scheduling coflows with precedence constraints in identical parallel networks, such as to minimize the total weighted…

Data Structures and Algorithms · Computer Science 2022-07-15 Chi-Yeh Chen

Kernel methods are considered an effective technique for on-line learning. Many approaches have been developed for compactly representing the dual solution of a kernel method when the problem imposes memory constraints. However, in…

Machine Learning · Computer Science 2016-07-21 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

The critical path of a group of tasks is an important measure that is commonly used to guide task allocation and scheduling on parallel computers. The critical path is the longest chain of dependencies in an acyclic task dependence graph. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-01 Aravind Vasudevan , David Gregg

We address the problem of scheduling jobs with non-identical sizes and distinct processing times on a single batch processing machine, aiming at minimizing the makespan. The extensive literature on this NP-hard problem mostly focuses on…

Optimization and Control · Mathematics 2021-06-03 Renan Spencer Trindade , Olinto C. B. de Araujo , Marcia Fampa

We design new algorithms for approximating 2CSPs on graphs with bounded threshold rank, that is, whose normalized adjacency matrix has few eigenvalues larger than $\varepsilon$, smaller than $-\varepsilon$, or both. Unlike on worst-case…

Data Structures and Algorithms · Computer Science 2025-11-17 Prashanti Anderson , Samuel B. Hopkins , Amit Rajaraman , David Steurer

Due to its optimality on a single machine for the problem of minimizing average flow time, Shortest-Remaining-Processing-Time (\srpt) appears to be the most natural algorithm to consider for the problem of minimizing average flow time on…

Data Structures and Algorithms · Computer Science 2010-11-10 Kyle Fox , Benjamin Moseley

We consider offline scheduling algorithms that incorporate speed scaling to address the bicriteria problem of minimizing energy consumption and a scheduling metric. For makespan, we give linear-time algorithms to compute all non-dominated…

Data Structures and Algorithms · Computer Science 2007-05-23 David P. Bunde

We study the scheduling problem of makespan minimization while taking machine conflicts into account. Machine conflicts arise in various settings, e.g., shared resources for pre- and post-processing of tasks or spatial restrictions. In this…

Discrete Mathematics · Computer Science 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt

Graph algorithms applied in many applications, including social networks, communication networks, VLSI design, graphics, and several others, require dynamic modifications -- addition and removal of vertices and/or edges -- in the graph.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-16 Bapi Chatterjee , Sathya Peri , Muktikanta Sa , Nandini Singhal

Comprehending the performance bottlenecks at the core of the intricate hardware-software interactions exhibited by highly parallel programs on HPC clusters is crucial. This paper sheds light on the issue of automatically asynchronous MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Stefano Markidis , Gerhard Wellein

We present an $m^{4/3+o(1)}\log W$-time algorithm for solving the minimum cost flow problem in graphs with unit capacity, where $W$ is the maximum absolute value of any edge weight. For sparse graphs, this improves over the best known…

Data Structures and Algorithms · Computer Science 2020-04-10 Kyriakos Axiotis , Aleksander Mądry , Adrian Vladu

For many algorithmic problems, traditional algorithms that optimise on the number of instructions executed prove expensive on I/Os. Novel and very different design techniques, when applied to these problems, can produce algorithms that are…

Data Structures and Algorithms · Computer Science 2010-05-20 Alka

We consider a multi-organizational system in which each organization contributes processors to the global pool but also jobs to be processed on the common resources. The fairness of the scheduling algorithm is essential for the stability…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-23 Piotr Skowron , Krzysztof Rzadca

Path cover is a well-known intractable problem that finds a minimum number of vertex disjoint paths in a given graph to cover all the vertices. We show that a variant, where the objective function is not the number of paths but the number…

Data Structures and Algorithms · Computer Science 2018-03-09 Yinhui Cai , Guangting Chen , Yong Chen , Randy Goebel , Guohui Lin , Longcheng Liu , An Zhang

In the most popular distributed stream processing frameworks (DSPFs), programs are modeled as a directed acyclic graph. This model allows a DSPF to benefit from the parallelism power of distributed clusters. However, choosing the proper…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-03 Hamid Nasiri , Saeed Nasehi , Arman Divband , Maziar Goudarzi

We consider the following shared-resource scheduling problem: Given a set of jobs $J$, for each $j\in J$ we must schedule a job-specific processing volume of $v_j>0$. A total resource of $1$ is available at any time. Jobs have a resource…

Data Structures and Algorithms · Computer Science 2023-10-11 Christoph Damerius , Peter Kling , Florian Schneider