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In this paper, we proposed an effective approach for scheduling of multiprocessor unit time tasks with chain precedence on to large multiprocessor system. The proposed longest chain maximum processor scheduling algorithm is proved to be…

分布式、并行与集群计算 · 计算机科学 2015-08-14 T. K. Agrawal , R. Sharma , M. Ghose , A. Sahu

We study the problem of scheduling precedence-constrained jobs on heterogenous machines in the presence of non-uniform job and machine communication delays. We are given as input $n$ unit size precedence-ordered jobs and $m$ related…

数据结构与算法 · 计算机科学 2022-11-23 Rajmohan Rajaraman , David Stalfa , Sheng Yang

We consider a variant of the NP-hard problem of assigning jobs to machines to minimize the completion time of the last job. Usually, precedence constraints are given by a partial order on the set of jobs, and each job requires all its…

离散数学 · 计算机科学 2020-03-09 Felix Happach

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…

数据结构与算法 · 计算机科学 2016-12-14 Julián Mestre , José Verschae

We study shared multi-processor scheduling problem where each job can be executed on its private processor and simultaneously on one of many processors shared by all jobs in order to reduce the job's completion time due to processing time…

离散数学 · 计算机科学 2021-03-05 Dariusz Dereniowski , Wieslaw Kubiak

We propose a Boolean Linear Programming model for the preemptive single machine scheduling problem with equal processing times, arbitrary release dates and weights(priorities) minimizing the total weighted completion time. Almost always an…

最优化与控制 · 数学 2020-12-16 Artem Fomin , Boris Goldengorin

In this paper, we study the active time scheduling problem. We are given n jobs with integral processing times each of which has an integral release time and deadline. The goal is to schedule all the jobs on a machine that can work on b…

计算复杂性 · 计算机科学 2021-12-07 Sagnik Saha , Manish Purohit

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

分布式、并行与集群计算 · 计算机科学 2016-03-21 Elli Zavou , Antonio Fernández Anta

Generalizing many well-known and natural scheduling problems, scheduling with job-specific cost functions has gained a lot of attention recently. In this setting, each job incurs a cost depending on its completion time, given by a private…

数据结构与算法 · 计算机科学 2014-03-07 Wiebke Höhn , Julián Mestre , Andreas Wiese

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

数据结构与算法 · 计算机科学 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

In this paper the problem of scheduling of jobs on parallel machines under incompatibility relation is considered. In this model a binary relation between jobs is given and no two jobs that are in the relation can be scheduled on the same…

数据结构与算法 · 计算机科学 2021-06-29 Tytus Pikies , Hanna Furmańczyk

We consider the online problem of scheduling jobs on identical machines, where jobs have precedence constraints. We are interested in the demanding setting where the jobs sizes are not known up-front, but are revealed only upon completion…

数据结构与算法 · 计算机科学 2019-05-07 Naveen Garg , Anupam Gupta , Amit Kumar , Sahil Singla

We are concerned with the problem of scheduling $n$ jobs onto $m$ identical machines. Each machine has to be in operation for a prescribed time, and the objective is to minimize the total machine working time. Precisely, let $c_i$ be the…

数据结构与算法 · 计算机科学 2025-07-22 Yi-Ting Hsieh , Mong-Jen Kao , Jhong-Yun Liu , Hung-Lung Wang

Bender et al. (SPAA 2013) have proposed a theoretical framework for testing in contexts where safety mistakes must be avoided. Testing in such a context is made by machines that need to be often calibrated. Given that calibration costs, it…

数据结构与算法 · 计算机科学 2020-02-05 Eric Angel , Evripidis Bampis , Vincent Chau , Vassilis Zissimopoulos

In this paper we consider a combination of the joint replenishment problem (JRP) and single machine scheduling with release dates. There is a single machine and one or more item types. Each job has a release date, a positive processing…

数据结构与算法 · 计算机科学 2022-03-03 Péter Györgyi , Tamás Kis , Tímea Tamási , József Békési

In a classical scheduling problem, we are given a set of $n$ jobs of unit length along with precedence constraints, and the goal is to find a schedule of these jobs on $m$ identical machines that minimizes the makespan. Using the standard…

数据结构与算法 · 计算机科学 2023-12-07 Jesper Nederlof , Céline M. F. Swennenhuis , Karol Węgrzycki

This paper studies a generalized busy-time scheduling model on heterogeneous machines. The input to the model includes a set of jobs and a set of machine types. Each job has a size and a time interval during which it should be processed.…

数据结构与算法 · 计算机科学 2021-05-14 Mozhengfu Liu , Xueyan Tang

We study the online busy time scheduling model on heterogeneous machines. In our setting, jobs with uniform length arrive online with a deadline that becomes known to the algorithm at the job's arrival time. An algorithm has access to…

数据结构与算法 · 计算机科学 2026-03-09 Gruia Calinescu , Sami Davies , Samir Khuller , Shirley Zhang

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…

数据结构与算法 · 计算机科学 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

We study the problem of scheduling a set of jobs with release dates, deadlines and processing requirements (or works), on parallel speed-scaled processors so as to minimize the total energy consumption. We consider that both preemption and…

数据结构与算法 · 计算机科学 2011-07-13 Eric Angel , Evripidis Bampis , Fadi Kacem , Dimitrios Letsios