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We study various versions of the problem of scheduling platoons of autonomous vehicles through an unregulated intersection, where an algorithm must schedule which platoons should wait so that others can go through, so as to minimize the…

数据结构与算法 · 计算机科学 2016-09-16 Juan José Besa Vial , William E. Devanny , David Eppstein , Michael T. Goodrich

The railway timetables are designed in an optimal manner to maximize the capacity usage of the infrastructure concerning different objectives besides avoiding conflicts. The real-time railway traffic management problem occurs when the…

最优化与控制 · 数学 2024-10-28 László Lindenmaier , István Ferenc Lövétei , Szilárd Aradi

Railway scheduling consists in ensuring that a set of trains evolve in a shared rail network without collisions, while meeting schedule constraints. This problem is notoriously difficult, even more in the case of uncertain or even unknown…

系统与控制 · 电气工程与系统科学 2024-12-09 Étienne André

Personnel scheduling problems have received considerable academic attention due to their relevance in various real-world applications. These problems involve preparing feasible schedules for an organization's employees and often account for…

数据结构与算法 · 计算机科学 2025-09-03 Fabien Nießen , Paul Paschmanns

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 Windows Scheduling Problem, also known as the Pinwheel Problem, is to schedule periodic jobs subject to their processing frequency demands. Instances are given as a set of jobs that have to be processed infinitely often such that the…

计算复杂性 · 计算机科学 2014-10-28 Tobias Jacobs , Salvatore Longo

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

数据结构与算法 · 计算机科学 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

In this paper, we consider the problem of scheduling jobs on parallel identical machines, where the processing times of jobs are uncertain: only interval bounds of processing times are known. The optimality criterion of a schedule is the…

数据结构与算法 · 计算机科学 2016-03-25 Maciej Drwal , Roman Rischke

Budget Minimization is a scheduling problem with precedence constraints, i.e., a scheduling problem on a partially ordered set of jobs $(N, \unlhd)$. A job $j \in N$ is available for scheduling, if all jobs $i \in N$ with $i \unlhd j$ are…

离散数学 · 计算机科学 2019-06-27 Marinus Gottschau , Felix Happach , Marcus Kaiser , Clara Waldmann

This paper studies the non-preemptive single-machine scheduling problem with heterogeneous release times and processing times, with the objective of minimizing total waiting time. The problem is known to be NP-hard. By modeling machine idle…

综合数学 · 数学 2026-04-24 Xiaoyang Duan , Peixin Zhao

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

数据结构与算法 · 计算机科学 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

This paper deals with the problem of preventive maintenance (PM) scheduling of pipelines subject to external corrosion defects. The preventive maintenance strategy involves an inspection step at some epoch, together with a repair schedule.…

数据结构与算法 · 计算机科学 2016-10-06 Assia Boumahdaf , Michel Broniatowski

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

最优化与控制 · 数学 2021-07-22 Alexander Kononov , Yulia Kovalenko

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

This paper presents a novel idea for the general case of the Common Due-Date (CDD) scheduling problem. The problem is about scheduling a certain number of jobs on a single or parallel machines where all the jobs possess different processing…

数据结构与算法 · 计算机科学 2014-05-07 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

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 routing flow shop problem with two machines on an asymmetric network. For this problem we discuss properties of an optimal schedule and present a polynomial time algorithm assuming the number of nodes of the network to be…

离散数学 · 计算机科学 2020-05-14 Ilya Chernykh , Alexander Kononov , Sergey Sevastyanov

In this paper, we study the active time scheduling problem. We are given n jobs with integral processing times each of which has an integral release time and deadline. The goal is to schedule all the jobs on a machine that can work on b…

计算复杂性 · 计算机科学 2021-12-07 Sagnik Saha , Manish Purohit

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

This paper considers the problem of scheduling jobs on single and parallel machines where all the jobs possess different processing times but a common due date. There is a penalty involved with each job if it is processed earlier or later…

数据结构与算法 · 计算机科学 2013-11-13 Abhishek Awasthi , Jörg Lässig , Oliver Kramer