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We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

Data Structures and Algorithms · Computer Science 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior

Given n jobs with release dates, deadlines and processing times we consider the problem of scheduling them on m parallel machines so as to minimize the total energy consumed. Machines can enter a sleep state and they consume no energy in…

Data Structures and Algorithms · Computer Science 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

In this paper, we address the power-aware scheduling of sporadic constrained-deadline hard real-time tasks using dynamic voltage scaling upon multiprocessor platforms. We propose two distinct algorithms. Our first algorithm is an off-line…

Operating Systems · Computer Science 2008-03-10 Vincent Nélis , Joël Goossens , Nicolas Navet , Raymond Devillers , Dragomir Milojevic

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

In this paper we study the power-performance relationship of power-efficient computing from a queuing theoretic perspective. We investigate the interplay of several system operations including processing speed, system on/off decisions, and…

Performance · Computer Science 2013-03-08 Yanpei Liu , Stark C. Draper , Nam Sung Kim

Service systems often face task-server assignment-constraints due to skill-based routing or geographical conditions. Redundancy scheduling responds to this limited flexibility by replicating tasks to specific servers in agreement with these…

Probability · Mathematics 2022-08-17 Ellen Cardinaels , Sem Borst , Johan S. H. van Leeuwaarden

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

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

Data Structures and Algorithms · Computer Science 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

Serverless computing is a promising approach for edge computing since its inherent features, e.g., lightweight virtualization, rapid scalability, and economic efficiency. However, previous studies have not studied well the issues of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-01 Jiong Lou , Zhiqing Tang , Shijing Yuan , Jie Li , Chengtao Wu , Weijia Jia

Due to the ongoing electrification of transport in combination with limited power grid capacities, efficient ways to schedule the charging of electric vehicles (EVs) are needed for the operation of, for example, large parking lots. Common…

Optimization and Control · Mathematics 2025-05-05 Leoni Winschermann , Marco E. T. Gerards , Antonios Antoniadis , Gerwin Hoogsteen , Johann Hurink

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

The performance of large-scale distributed compute systems is adversely impacted by stragglers when the execution time of a job is uncertain. To manage stragglers, we consider a multi-fork approach for job scheduling, where additional…

Networking and Internet Architecture · Computer Science 2026-01-01 Ajay Badita , Parimal Parag , Vaneet Aggarwal

With the rapidly growing demand of graph processing in the real scene, they have to efficiently handle massive concurrent jobs. Although existing work enable to efficiently handle single graph processing job, there are plenty of memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Jin Zhao

We introduce a natural but seemingly yet unstudied generalization of the problem of scheduling jobs on a single machine so as to minimize the number of tardy jobs. Our generalization lies in simultaneously considering several instances of…

Discrete Mathematics · Computer Science 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

We consider the online problem of minimizing weighted flow-time on unrelated machines. Although much is known about this problem in the resource-augmentation setting, these results assume that jobs can be preempted. We give the first…

Data Structures and Algorithms · Computer Science 2018-05-25 Anupam Gupta , Amit Kumar , Jason Li

In the weighted flow-time problem on a single machine, we are given a set of n jobs, where each job has a processing requirement p_j, release date r_j and weight w_j. The goal is to find a preemptive schedule which minimizes the sum of…

Data Structures and Algorithms · Computer Science 2018-08-21 Jatin Batra , Naveen Garg , Amit Kumar

We consider a large distributed service system consisting of $n$ homogeneous servers with infinite capacity FIFO queues. Jobs arrive as a Poisson process of rate $\lambda n/k_n$ (for some positive constant $\lambda$ and integer $k_n$). Each…

Performance · Computer Science 2019-10-23 Martin Zubeldia

Online algorithms are usually analyzed using the notion of competitive ratio which compares the solution obtained by the algorithm to that obtained by an online adversary for the worst possible input sequence. Often this measure turns out…

Data Structures and Algorithms · Computer Science 2014-10-08 Anamitra Roy Choudhury , Syamantak Das , Naveen Garg , Amit Kumar

We consider a distributed server system consisting of a large number of servers, each with limited capacity on multiple resources (CPU, memory, disk, etc.). Jobs with different rewards arrive over time and require certain amounts of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Konstantinos Psychas , Javad Ghaderi