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In this paper, we consider four single-machine scheduling problems with release times, with the aim of minimizing the maximum lateness. In the first problem we have a common deadline for all the jobs. The second problem looks for the Pareto…

Data Structures and Algorithms · Computer Science 2017-08-18 Imed Kacem , Hans Kellerer

With the aim to stimulate future research, we describe an exploratory study of a railway rescheduling problem. A widely used approach in practice and state of the art is to decompose these complex problems by geographical scope. Instead, we…

Optimization and Control · Mathematics 2023-05-08 Erik Nygren , Christian Eichenberger , Emma Frejinger

In many countries, a rail network consists of single lines with sidings where interactions between trains occur (meet, pass). In this paper, we study two issues of these networks: first, the scheduling of freight trains in a single line…

Optimization and Control · Mathematics 2019-12-11 Marie Alaghband , Babak Farhang Moghaddam

Time-dependent scheduling with linear deterioration involves determining when to execute jobs whose processing times degrade as their beginning is delayed. Each job i is associated with a release time r_i and a processing time function…

Data Structures and Algorithms · Computer Science 2023-07-04 Angelos Gkikas , Dimitrios Letsios , Tomasz Radzik , Kathleen Steinhöfel

In the classical interval scheduling type of problems, a set of $n$ jobs, characterized by their start and end time, need to be executed by a set of machines, under various constraints. In this paper we study a new variant in which the jobs…

Data Structures and Algorithms · Computer Science 2015-11-02 Veli Mäkinen , Valeria Staneva , Alexandru Tomescu , Daniel Valenzuela

We consider the problem of minimal correction of the training set to make it consistent with monotonic constraints. This problem arises during analysis of data sets via techniques that require monotone data. We show that this problem is…

Machine Learning · Computer Science 2007-05-23 Rustem Takhanov

In this paper we consider a combination of the joint replenishment problem (JRP) and single machine scheduling with release dates. There is a single machine and one or more item types. Each job has a release date, a positive processing…

Data Structures and Algorithms · Computer Science 2022-03-03 Péter Györgyi , Tamás Kis , Tímea Tamási , József Békési

We study a fundamental problem called Minimum Length Link Scheduling (MLLS) which is crucial to the efficient operations of wireless networks. Given a set of communication links of arbitrary length spread and assume each link has one unit…

Networking and Internet Architecture · Computer Science 2012-08-06 Xiaohua Xu , Jiannong Cao , Xiang-Yang Li

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.…

Data Structures and Algorithms · Computer Science 2021-05-14 Mozhengfu Liu , Xueyan Tang

In this paper we address the problem of designing an interruptible system in a setting in which $n$ problem instances, all equally important, must be solved concurrently. The system involves scheduling executions of contract algorithms…

Data Structures and Algorithms · Computer Science 2018-10-29 Spyros Angelopoulos , Alejandro Lopez-Ortiz

We study scheduling problems on a machine with varying speed. Assuming a known speed function we ask for a cost-efficient scheduling solution. Our main result is a PTAS for minimizing the total weighted completion time in this setting. This…

Data Structures and Algorithms · Computer Science 2014-03-06 Nicole Megow , José Verschae

In between transportation services, trains are parked and maintained at shunting yards. The conflict-free routing of trains to and on these yards and the scheduling of service and maintenance tasks is known as the train unit shunting and…

Multiagent Systems · Computer Science 2020-06-19 Jesse Mulderij , Bob Huisman , Denise Tönissen , Koos van der Linden , Mathijs de Weerdt

Appointment scheduling problems under uncertainty encounter a fundamental trade-off between cost minimization and customer waiting times. Most existing studies address this trade-off using a weighted sum approach, which puts little emphasis…

General Economics · Economics 2026-01-06 Carolin Bauerhenne , Rainer Kolisch , Andreas S. Schulz

This paper introduces a combined approach for the recovery of a timetable by rescheduling trips and vehicle circulations for a rail-based transportation system subject to disruptions. We propose a novel event-based integer programming (IP)…

Optimization and Control · Mathematics 2011-01-12 Sandor P. Fekete , Alexander Kroeller , Martin Lorek , Marc Pfetsch

We consider the problem of finding a subgraph of a given graph minimizing the sum of given functions at vertices evaluated at their subgraph degrees. While the problem is NP-hard already for bipartite graphs when the functions are convex on…

Optimization and Control · Mathematics 2021-04-27 Gabriel Deza , Shmuel Onn

Robots are becoming an increasingly common part of scientific work within laboratory environments. In this paper, we investigate the problem of designing \emph{schedules} for completing a set of tasks at fixed locations with multiple robots…

Data Structures and Algorithms · Computer Science 2025-07-03 Duncan Adamson , Nathan Flaherty , Igor Potapov , Paul Spirakis

The open shop problem is to find a minimum makespan schedule to process each job $J_i$ on each machine $M_q$ for $p_{iq}$ time such that, at any time, each machine processes at most one job and each job is processed by at most one machine.…

Discrete Mathematics · Computer Science 2017-04-27 René van Bevern , Artem V. Pyatkin

In this paper, we investigate the use of the deep learning method for solving a well-known NP-hard single machine scheduling problem with the objective of minimizing the total tardiness. We propose a deep neural network that acts as a…

Optimization and Control · Mathematics 2024-02-28 Michal Bouška , Přemysl Šůcha , Antonín Novák , Zdeněk Hanzálek

In this paper we investigate real-time, dynamic traffic optimization in railway systems. In order to enable practical solution times, we operate the optimizer in a receding horizon fashion and with optimization horizons that are shorter…

Optimization and Control · Mathematics 2021-05-11 Robin Vujanic , Andrew Hill

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…

Optimization and Control · Mathematics 2014-11-04 Peng Guo , Wenming Cheng , Yi Wang