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This paper considers single-machine scheduling problems in which a given solution, i.e. an ordered set of jobs, has to be improved as much as possible by re-sequencing the jobs. The need for rescheduling may arise in different contexts,…

数据结构与算法 · 计算机科学 2021-07-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy , Julia Resch , Giovanni Righini

When scheduling quantum operations, a shorter overall execution time of the resulting schedule yields a better throughput and higher fidelity output. In this paper, we demonstrate that quantum operation scheduling can be interpreted as a…

量子物理 · 物理学 2020-11-11 Toshinari Itoko , Takashi Imamichi

We consider a natural generalization of classical scheduling problems in which using a time unit for processing a job causes some time-dependent cost which must be paid in addition to the standard scheduling cost. We study the scheduling…

数据结构与算法 · 计算机科学 2018-12-03 Lin Chen , Nicole Megow , Roman Rischke , Leen Stougie , José Verschae

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…

分布式、并行与集群计算 · 计算机科学 2021-03-10 Pragati Agrawal , Shrisha Rao

This paper takes a game theoretical approach to open shop scheduling problems with unit execution times to minimize the sum of completion times. By supposing an initial schedule and associating each job (consisting in a number of…

计算机科学与博弈论 · 计算机科学 2019-07-31 Ata Atay , Pedro Calleja , Sergio Soteras

This paper considers the online machine minimization problem, a basic real time scheduling problem. The setting for this problem consists of n jobs that arrive over time, where each job has a deadline by which it must be completed. The goal…

数据结构与算法 · 计算机科学 2018-01-31 Sungjin Im , Benjamin Moseley , Kirk Pruhs , Clifford Stein

We introduce the following elementary scheduling problem. We are given a collection of n jobs, where each job has an integer length as well as a set Ti of time intervals in which it can be feasibly scheduled. Given a parameter B, the…

数据结构与算法 · 计算机科学 2012-08-02 Jessica Chang , Harold N. Gabow , Samir Khuller

We propose new abstract and unified perspectives on a range of scheduling and graph coloring problems with general min-sum objectives. Specifically, we consider various problems where the objective function is the weighted sum of completion…

数据结构与算法 · 计算机科学 2026-02-12 Alexander Lindermayr , Zhenwei Liu , Nicole Megow

In this paper, we design an efficient algorithm for the energy-aware profit maximizing scheduling problem, where the high performance computing system administrator is to maximize the profit per unit time. The running time of the proposed…

分布式、并行与集群计算 · 计算机科学 2015-01-23 Weidong Li , Xi Liu , Xuejie Zhang , Xiaobo Cai

We consider the precedence-constrained scheduling problem to minimize the total weighted completion time. For a single machine several $2$-approximation algorithms are known, which are based on linear programming and network flows. We show…

数据结构与算法 · 计算机科学 2023-09-22 Sven Jäger , Philipp Warode

We introduce a new class of scheduling problems in which the optimization is performed by the worker (single ``machine'') who performs the tasks. A typical worker's objective is to minimize the amount of work he does (he is ``lazy''), or…

数据结构与算法 · 计算机科学 2017-03-07 Esther M. Arkin , Michael A. Bender , Joseph S. B. Mitchell , Steven S. Skiena

We consider a fundamental online scheduling problem in which jobs with processing times and deadlines arrive online over time at their release dates. The task is to determine a feasible preemptive schedule on a single or multiple possibly…

数据结构与算法 · 计算机科学 2021-12-02 Franziska Eberle , Nicole Megow , Kevin Schewior

We consider the $1||\sum w_J U_j$ problem, the problem of minimizing the weighted number of tardy jobs on a single machine. This problem is one of the most basic and fundamental problems in scheduling theory, with several different…

数据结构与算法 · 计算机科学 2024-01-04 Klaus Heeger , Danny Hermelin

We investigate the scheduling of $n$ jobs divided into $c$ classes on $m$ identical parallel machines. For every class there is a setup time which is required whenever a machine switches from the processing of one class to another class.…

数据结构与算法 · 计算机科学 2019-05-02 Max A. Deppert , Klaus Jansen

We consider a 1-machine scheduling problem where the temperature of a job rises during processing, and cools down when not being processed according to given linear heating and cooling rates. No job's temperature is allowed to rise above a…

最优化与控制 · 数学 2023-12-18 Roel Lambers , Rudi Pendavingh , Frits Spieksma , Céline M. F. Swennenhuis

Recently, the problem of multitasking scheduling has attracted a lot of attention in the service industries where workers frequently perform multiple tasks by switching from one task to another. Hall, Leung and Li (Discrete Applied…

数据结构与算法 · 计算机科学 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

In this paper we consider the open shop scheduling problem where the jobs have delivery times. The minimization criterion is the maximum lateness of the jobs. This problem is known to be NP-hard, even restricted to only 2 machines. We…

数据结构与算法 · 计算机科学 2017-06-08 Imed Kacem , Christophe Rapine

Imprecise computations provide an avenue for scheduling algorithms developed for energy-constrained computing devices by trading off output quality with the utilization of system resources. This work proposes a method for scheduling task…

分布式、并行与集群计算 · 计算机科学 2019-05-14 Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

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

We study shared processor scheduling of $\textit{multiprocessor}$ weighted jobs where each job can be executed on its private processor and simultaneously on possibly $\textit{many}$ processors shared by all jobs in order to reduce their…

离散数学 · 计算机科学 2024-01-26 Dariusz Dereniowski , Wieslaw Kubiak