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Related papers: Improved Scheduling with a Shared Resource

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We study the online scheduling problem where the machines need to be calibrated before processing any jobs. To calibrate a machine, it will take $\lambda$ time steps as the activation time, and then the machine will remain calibrated status…

Data Structures and Algorithms · Computer Science 2022-02-18 Zuzhi Chen , Jialin Zhang

In this paper, we study an optimal online resource reservation problem in a simple communication network. The network is composed of two compute nodes linked by a local communication link. The system operates in discrete time; at each time…

Optimization and Control · Mathematics 2024-04-04 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Shima Kheradmand

We study the problem of preemptively scheduling jobs online over time on a single machine to minimize the total flow time. In the traditional clairvoyant scheduling model, the scheduler learns about the processing time of a job at its…

Data Structures and Algorithms · Computer Science 2026-02-26 Alexander Lindermayr , Jens Schlöter

Consumer-electronics systems are becoming increasingly complex as the number of integrated applications is growing. Some of these applications have real-time requirements, while other non-real-time applications only require good average…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-28 Anna Minaeva , Premysl Sucha , Benny Akesson , Zdenek Hanzalek

Resource allocation problems in many computer systems can be formulated as mathematical optimization problems. However, finding exact solutions to these problems using off-the-shelf solvers in an online setting is often intractable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-15 Deepak Narayanan , Fiodar Kazhamiaka , Firas Abuzaid , Peter Kraft , Matei Zaharia

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

In this study, we investigated several online and semi-online scheduling problems on two hierarchical machines with a common due date to maximize the total early work. For the pure online case, we designed an optimal online algorithm with a…

Data Structures and Algorithms · Computer Science 2022-09-20 Man Xiao , Xiaoqiao Liu , Weidong Li , Xin Chen , Malgorzata Sterna , Jacek Blazewicz

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

In this paper we consider the problem of scheduling on parallel machines with a presence of incompatibilities between jobs. The incompatibility relation can be modeled as a complete multipartite graph in which each edge denotes a pair of…

Data Structures and Algorithms · Computer Science 2021-09-17 Tytus Pikies , Krzysztof Turowski , Marek Kubale

In a large-scale computing cluster, the job completions can be substantially delayed due to two sources of variability, namely, variability in the job size and that in the machine service capacity. To tackle this issue, existing works have…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-07 Huanle Xu , Gustavo de Veciana , Wing Cheong Lau , Kunxiao Zhou

In industrial resource allocation problems, an initial planning stage may solve a nominal problem instance and a subsequent recovery stage may intervene to repair inefficiencies and infeasibilities due to uncertainty, e.g.\ machine failures…

Optimization and Control · Mathematics 2020-08-31 Dimitrios Letsios , Miten Mistry , Ruth Misener

We consider the problem of scheduling $n$ precedence-constrained jobs on $m$ uniformly-related machines in the presence of an arbitrary, fixed communication delay $\rho$. We consider a model that allows job duplication, i.e. processing of…

Data Structures and Algorithms · Computer Science 2020-04-24 Biswaroop Maiti , Rajmohan Rajaraman , David Stalfa , Zoya Svitkina , Aravindan Vijayaraghavan

We consider a single machine scheduling problem that seeks to minimize a generalized cost function: given a subset of jobs we must order them so as to minimize $\sum f_j(C_j)$, where $C_j$ is the completion time of job $j$ and $f_j$ is a…

Data Structures and Algorithms · Computer Science 2016-12-14 Julián Mestre , José Verschae

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

We consider a basic problem of preemptive scheduling of $n$ non-simultaneously released jobs on a group of $m$ unrelated parallel machines so as to minimize maximum job completion time, the makespan. In the scheduling literature, the…

Data Structures and Algorithms · Computer Science 2022-05-06 Nodari Vakhania

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-10 Pragati Agrawal , Shrisha Rao

This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

Data Structures and Algorithms · Computer Science 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu

In malleable job scheduling, jobs can be executed simultaneously on multiple machines with the processing time depending on the number of allocated machines. In this setting, jobs are required to be executed non-preemptively and in unison,…

Data Structures and Algorithms · Computer Science 2020-04-08 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

We consider a recently introduced fair repetitive scheduling problem involving a set of clients, each asking for their associated job to be daily scheduled on a single machine across a finite planning horizon. The goal is to determine a job…

Data Structures and Algorithms · Computer Science 2026-01-01 Danny Hermelin , Danny Segev , Dvir Shabtay
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