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This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

数据结构与算法 · 计算机科学 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

The paper considers single-machine scheduling problems with a non-renewable resource. In this setting, we are given a set jobs, each of which is characterized by a processing time, a weight, and the job also has some resource requirement.…

数据结构与算法 · 计算机科学 2019-11-28 Kristóf Bérczi , Tamás Király , Simon Omlor

A moldable job is a job that can be executed on an arbitrary number of processors, and whose processing time depends on the number of processors allotted to it. A moldable job is monotone if its work doesn't decrease for an increasing…

数据结构与算法 · 计算机科学 2018-01-09 Klaus Jansen , Felix Land

Planning and scheduling have been a central theme of research in computer science. In particular, the simplicity of the theoretical approach of a no-wait flowshop scheduling problem does not allow to perceive the problem complexity at first…

计算机科学中的逻辑 · 计算机科学 2019-09-20 Carmen Leticia García-Mata , Pedro Rafael Márquez-Gutiérrez

We are given a set of $n$ jobs and a single processor that can vary its speed dynamically. Each job $J_j$ is characterized by its processing requirement (work) $p_j$, its release date $r_j$ and its deadline $d_j$. We are also given a budget…

数据结构与算法 · 计算机科学 2013-09-09 Eric Angel , Evripidis Bampis , Vincent Chau

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

The paper is concerned with the two-machine flow shop, where each job requires an additional resource (referred to as storage space) from the start of its first operation till the end of its second operation. The storage requirement of a…

最优化与控制 · 数学 2021-06-29 Alexander Kononov , Julia Memar , Yakov Zinder

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

数据结构与算法 · 计算机科学 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

We consider Johnson's rule for minimizing the makespan in the two-machine flow shop problem. Although its worst-case time complexity is O(n log n), we show that it is possible to detect in linear time whether a full sorting of jobs can be…

最优化与控制 · 数学 2026-01-08 Federico Della Croce , Quentin Schau

Flowshop machine scheduling has been of main interest in several applications where the timing of its processes plays a fundamental role in the utilization of system resources. Addressing the optimal sequencing of the jobs when equivalent…

性能 · 计算机科学 2025-04-30 Samah A. M. Ghanem

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…

离散数学 · 计算机科学 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

Photolithography is typically the bottleneck process in semiconductor manufacturing. In this paper, we present a model for optimizing the scheduling of the photolithography process in the presence of both individual and cluster tools. The…

最优化与控制 · 数学 2018-05-29 Sreenath Chalil Madathil , Siddhartha Nambiar , Scott J. Mason , Mary E. Kurz

We consider basic problems of non-preemptive scheduling on uniformly related machines. For a given schedule, defined by a partition of the jobs into m subsets corresponding to the m machines, C_i denotes the completion time of machine i.…

数据结构与算法 · 计算机科学 2015-03-20 Leah Epstein , Asaf Levin

This paper addresses the challenging scheduling problem of coflows with release times, with the objective of minimizing the total weighted completion time. Previous literature has predominantly concentrated on establishing the scheduling…

数据结构与算法 · 计算机科学 2023-12-27 Chi-Yeh Chen

In this work, we study the single machine scheduling problem with uncertain release times and processing times of jobs. We adopt a robust scheduling approach, in which the measure of robustness to be minimized for a given sequence of jobs…

最优化与控制 · 数学 2014-11-27 Nitish Umang , Alan L. Erera , Michel Bierlaire

We study ordinal makespan scheduling on small numbers of identical machines, with respect to two parallel solutions. In ordinal scheduling, it is known that jobs are sorted by non-increasing sizes, but the specific sizes are not known in…

数据结构与算法 · 计算机科学 2022-10-17 Leah Epstein

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

Distributed computing systems often need to consider the scheduling problem involving a collection of highly dependent data-processing tasks that must work in concert to achieve mission-critical objectives. This paper considers the…

分布式、并行与集群计算 · 计算机科学 2021-04-08 Vaneet Aggarwal , Tian Lan , Suresh Subramaniam , Maotong Xu

Various new scheduling problems have been arising from practical production processes and spawning new research areas in the scheduling field. We study the parallel multi-stage open shops problem, which generalizes the classic open shop…

数据结构与算法 · 计算机科学 2022-05-31 Jianming Dong , Ruyan Jin , Guohui Lin , Bing Su , Weitian Tong , Yao Xu

Since its development in the early 90's, parameterized complexity has been widely used to analyze the tractability of many NP-hard combinatorial optimization problems with respect to various types of problem parameters. While the generic…

数据结构与算法 · 计算机科学 2017-09-14 Danny Hermelin , Dvir Shabtay , Nimrod Talmon