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In this paper, we focus on the solution of a hard single machine scheduling problem by new heuristic algorithms embedding techniques from machine learning field and scheduling theory. These heuristics transform an instance of the hard…

最优化与控制 · 数学 2021-01-05 Axel Parmentier , Vincent T'Kindt

We consider the classical scheduling problem on a single machine, on which we need to schedule sequentially $n$ given jobs. Every job $j$ has a processing time $p_j$ and a priority weight $w_j$, and for a given schedule a completion time…

数据结构与算法 · 计算机科学 2015-12-22 Nikhil Bansal , Christoph Dürr , Nguyen Kim Thang , Óscar C. Vásquez

In this work, we study the computational (parameterized) complexity of $P \mid r_j, p_j=p \mid \sum_j w_j U_j$. Here, we are given $m$ identical parallel machines and $n$ jobs with equal processing time, each characterized by a release…

数据结构与算法 · 计算机科学 2024-04-23 Klaus Heeger , Hendrik Molter

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

数据结构与算法 · 计算机科学 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

数据结构与算法 · 计算机科学 2022-07-19 Uwe Schwiegelshohn

In this paper we study the classical single machine scheduling problem where the objective is to minimize the total weight of tardy jobs. Our analysis focuses on the case where one or more of three natural parameters is either constant or…

数据结构与算法 · 计算机科学 2017-09-19 Danny Hermelin , Shlomo Karhi , Mike Pinedo , Dvir Shabtay

In scheduling problems, deterministic task durations are often assumed. This usually does not capture reality and may lead to schedules that are not robust to (small) changes to these task lengths. The use of stochastic task durations…

最优化与控制 · 数学 2026-05-25 Philip de Bruin , Bram Elderhorst , Marjan van den Akker , Han Hoogeveen

This article considers the parallel machine scheduling problem with step-deteriorating jobs and sequence-dependent setup times. The objective is to minimize the total tardiness by determining the allocation and sequence of jobs on identical…

最优化与控制 · 数学 2013-09-06 Peng Guo , Wenming Cheng , Yi Wang

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

数据结构与算法 · 计算机科学 2019-04-23 Benjamin Moseley

In this paper we consider the classic scheduling problem of minimizing total weighted completion time on unrelated machines when jobs have release times, i.e, $R | r_{ij} | \sum_j w_j C_j$ using the three-field notation. For this problem, a…

数据结构与算法 · 计算机科学 2016-06-29 Sungjin Im , Shi Li

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

数据结构与算法 · 计算机科学 2023-02-09 Klaus Jansen , Kai Kahler

We present computational results with a heuristic algorithm for the parallel machines total weighted tardiness problem. The algorithm combines generalized pairwise interchange neighborhoods, dynasearch optimization and a new machine-based…

分布式、并行与集群计算 · 计算机科学 2018-11-08 F Croce , Thierry Garaix , A. Grosso

We study the problem of non-preemptively scheduling $n$ jobs, each job $j$ with a release time $t_j$, a deadline $d_j$, and a processing time $p_j$, on $m$ parallel identical machines. Cieliebak et al. (2004) considered the two constraints…

数据结构与算法 · 计算机科学 2017-05-25 René van Bevern , Rolf Niedermeier , Ondřej Suchý

In this paper, the single machine scheduling problem with deteriorating jobs and learning effects are considered, which is shown in the previous research that the SDR method no longer provides an optimal solution for the problem. In order…

数据结构与算法 · 计算机科学 2018-09-12 Soheyl Khalilpourazari , Mohammad Mohammadi

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

分布式、并行与集群计算 · 计算机科学 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

The flexible job shop scheduling problem with sequencing flexibility and position-based learning effect is considered in the present work. In [K. A. G. Araujo, E. G. Birgin, and D. P. Ronconi, Technical Report MCDO02022024, 2024], models,…

最优化与控制 · 数学 2024-03-26 Kennedy A. G. Araújo , Ernesto G. Birgin , Débora P. Ronconi

The considered problem is how to optimally allocate a set of jobs to technicians of different skills such that the number of technicians of each skill does not exceed the number of persons with that skill designation. The key motivation is…

人工智能 · 计算机科学 2018-03-06 Nima Safaei , Corey Kiassat

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

最优化与控制 · 数学 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

数据结构与算法 · 计算机科学 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

This paper is concerned with the $1||\sum p_jU_j$ problem, the problem of minimizing the total processing time of tardy jobs on a single machine. This is not only a fundamental scheduling problem, but also a very important problem from a…

数据结构与算法 · 计算机科学 2020-04-22 Karl Bringmann , Nick Fischer , Danny Hermelin , Dvir Shabtay , Philip Wellnitz