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This work proposes a unified heuristic algorithm for a large class of earliness-tardiness (E-T) scheduling problems. We consider single/parallel machine E-T problems that may or may not consider some additional features such as idle time,…

人工智能 · 计算机科学 2017-01-11 Arthur Kramer , Anand Subramanian

In this work, we study the task of scheduling jobs on a single machine with sequence dependent family setup times under the goal of minimizing the makespan, that is, the completion time of the last job in the schedule. This notoriously…

数据结构与算法 · 计算机科学 2025-03-25 Kaja Balzereit , Niels Grüttemeier , Nils Morawietz , Dennis Reinhardt , Stefan Windmann , Petra Wolf

The article presents a study of rather simple local search heuristics for the single machine total weighted tardiness problem (SMTWTP), namely hillclimbing and Variable Neighborhood Search. In particular, we revisit these approaches for the…

人工智能 · 计算机科学 2009-07-20 Martin Josef Geiger

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

机器学习 · 计算机科学 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

Motivated by the need of quick job (re-)scheduling, we examine an elaborate scheduling environment under the objective of total weighted tardiness minimization. The examined problem variant moves well beyond existing literature, as it…

最优化与控制 · 数学 2023-07-14 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

In this article, we study a single-machine scheduling problem of minimizing the total tardiness for a set of independent jobs. The processing time of a job is modeled as a step function of its starting time and a specific deteriorating…

最优化与控制 · 数学 2013-08-16 Peng Guo , Wenming Chen , Yi Wang

The $1|B,r_j|\sum w_jU_j$ scheduling problem takes as input a batch setup time $\Delta$ and a set of $n$ jobs, each having a processing time, a release date, a weight, and a due date; the task is to find a sequence of batches that minimizes…

数据结构与算法 · 计算机科学 2019-11-28 Danny Hermelin , Matthias Mnich , Simon Omlor

This paper addresses the scheduling problem of minimizing the total weighted tardiness on a single machine with step-deteriorating jobs. With the assumption of deterioration, the job processing times are modeled by step functions of job…

最优化与控制 · 数学 2014-11-04 Peng Guo , Wenming Cheng , Yi Wang

The problem of scheduling non-simultaneously released jobs with due dates on a single machine with the objective to minimize the maximum job lateness is known to be strongly NP-hard. Here we consider an extended model in which the…

最优化与控制 · 数学 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

This paper resolves a long-standing open question in bicriteria scheduling regarding the complexity of a single machine scheduling problem which combines the number of tardy jobs and the maximal tardiness criteria. We use the lexicographic…

数据结构与算法 · 计算机科学 2025-02-17 Klaus Heeger , Danny Hermelin , Michael L. Pinedo , Dvir Shabtay

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

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

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

Consider a scheduling problem in which jobs need to be processed on a single machine. Each job has a weight and is composed of several operations belonging to different families. The machine needs to perform a setup between the processing…

数据结构与算法 · 计算机科学 2019-10-22 Alexander Mäcker , Friedhelm Meyer auf der Heide , Simon Pukrop

We study the single machine scheduling problem with the objective to minimize the total weight of late jobs. It is assumed that the processing times of jobs are not exactly known at the time when a complete schedule must be dispatched.…

离散数学 · 计算机科学 2017-06-13 Maciej Drwal

This paper explores fast, polynomial time heuristic approximate solutions to the NP-hard problem of scheduling jobs on N identical machines. The jobs are independent and are allowed to be stopped and restarted on another machine at a later…

神经与进化计算 · 计算机科学 2016-11-11 N. Fogarasi , K. Tornai , J. Levendovszky

In this paper we consider single machine scheduling problems with additional non-renewable resource constraints. Examples for non-renewable resources include raw materials, energy, or money. Usually they have an initial stock and…

最优化与控制 · 数学 2020-04-03 Péter Györgyi , Tamás Kis

We study the fundamental scheduling problem $1\mid r_j\mid\sum w_j U_j$: schedule a set of $n$ jobs with weights, processing times, release dates, and due dates on a single machine, such that each job starts after its release date and we…

数据结构与算法 · 计算机科学 2024-08-26 Matthias Kaul , Matthias Mnich , Hendrik Molter

We study the restricted case of Scheduling on Unrelated Parallel Machines. In this problem, we are given a set of jobs $J$ with processing times $p_j$ and each job may be scheduled only on some subset of machines $S_j \subseteq M$. The goal…

数据结构与算法 · 计算机科学 2016-12-14 Chidambaram Annamalai

This paper considers the scheduling of stochastic jobs on parallel identical machines to minimize the expected total weighted completion time. While this is a classical problem with a significant body of research on approximation algorithms…

数据结构与算法 · 计算机科学 2026-01-27 Benjamin Moseley , Kirk Pruhs , Marc Uetz , Rudy Zhou
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