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We consider the online machine 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. Our main result is a general…

数据结构与算法 · 计算机科学 2015-06-19 Lin Chen , Nicole Megow , Kevin Schewior

Most practical scheduling applications involve some uncertainty about the arriving times and lengths of the jobs. Stochastic online scheduling is a well-established model capturing this. Here the arrivals occur online, while the processing…

数据结构与算法 · 计算机科学 2022-12-20 Sven Jäger

This paper establishes performance guarantees for online algorithms that schedule stochastic, nonpreemptive jobs on unrelated machines to minimize the expected total weighted completion time. Prior work on unrelated machine scheduling with…

数据结构与算法 · 计算机科学 2020-05-14 Varun Gupta , Benjamin Moseley , Marc Uetz , Qiaomin Xie

We consider a scheduling problem where machines need to be rented from the cloud in order to process jobs. There are two types of machines available which can be rented for machine-type dependent prices and for arbitrary durations. However,…

数据结构与算法 · 计算机科学 2016-12-22 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

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…

数据结构与算法 · 计算机科学 2022-02-18 Zuzhi Chen , Jialin Zhang

We present a new online algorithm for profit-oriented scheduling on multiple speed-scalable processors. Moreover, we provide a tight analysis of the algorithm's competitiveness. Our results generalize and improve upon work by…

数据结构与算法 · 计算机科学 2012-09-19 Peter Kling , Peter Pietrzyk

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

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…

分布式、并行与集群计算 · 计算机科学 2017-07-07 Huanle Xu , Gustavo de Veciana , Wing Cheong Lau , Kunxiao Zhou

We analyze the problem of job scheduling with preempting on weighted jobs that can have either linear or exponential penalties. We review relevant literature on the problem and create and describe a few online algorithms that perform…

数据结构与算法 · 计算机科学 2023-01-26 Frederick Tang , Fareed Sheriff , Andrew Wang

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

数据结构与算法 · 计算机科学 2020-01-10 Mustafa Safa Ozdayi

We present a flexible framework for the automated competitive analysis of on-line scheduling algorithms for firm-deadline real-time tasks based on multi-objective graphs: Given a taskset and an on-line scheduling algorithm specified as a…

数据结构与算法 · 计算机科学 2014-09-16 Krishnendu Chatterjee , Andreas Pavlogiannis , Alexander Kößler , Ulrich Schmid

We consider an online scheduling problem, motivated by the issues present at the joints of networks using ATM and TCP/IP. Namely, IP packets have to broken down to small ATM cells and sent out before their deadlines, but cells corresponding…

数据结构与算法 · 计算机科学 2009-04-14 Christoph Durr , Lukasz Jez , Nguyen Kim Thang

The demand for stringent interactive quality-of-service has intensified in both mobile edge computing (MEC) and cloud systems, driven by the imperative to improve user experiences. As a result, the processing of computation-intensive tasks…

分布式、并行与集群计算 · 计算机科学 2025-07-28 Ngoc Hung Nguyen , Van-Dinh Nguyen , Anh Tuan Nguyen , Nguyen Van Thieu , Hoang Nam Nguyen , Symeon Chatzinotas

Motivated primarily by applications in cloud computing, we study a simple, yet powerful, online allocation problem in which jobs of varying durations arrive over continuous time and must be assigned immediately and irrevocably to one of the…

数据结构与算法 · 计算机科学 2025-06-10 Farbod Ekbatani , Yiding Feng , Ian Kash , Rad Niazadeh

Consider a problem in which $n$ jobs that are classified into $k$ types arrive over time at their release times and are to be scheduled on a single machine so as to minimize the maximum flow time. The machine requires a setup taking $s$…

数据结构与算法 · 计算机科学 2017-09-19 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

数据结构与算法 · 计算机科学 2021-08-20 Susanne Albers , Alexander Eckl

We consider the online busy time scheduling problem motivated by energy and cost minimization in cloud computing systems. The input is a set of jobs $J=\{1,\dots,n\}$ where each job $j\in J$ has a release time $r_j$, deadline $d_j$, and…

数据结构与算法 · 计算机科学 2025-10-20 Susanne Albers , G. Wessel van der Heijden

We study the precedence-constrained resource scheduling problem [SICOMP'75]. There are $n$ jobs where each job takes a certain time to finish and has a resource requirement throughout the execution time. There are precedence among the jobs.…

数据结构与算法 · 计算机科学 2025-09-03 Rathish Das , Hao Sun

Motivated by settings such as medical treatments or aircraft maintenance, we consider a scheduling problem with jobs that consist of two operations, a test and a processing part. The time required to execute the test is known in advance…

数据结构与算法 · 计算机科学 2024-06-25 Konstantinos Dogeas , Thomas Erlebach , Ya-Chun Liang

In this paper, we consider an energy-efficient scheduling problem where $n$ jobs $J_1, J_2, ..., J_n$ need to be executed such that the total energy usage of these jobs is minimized while ensuring that each job is finished within it's…

数据结构与算法 · 计算机科学 2015-07-13 Gunjan Kumar , Saswata Shannigrahi