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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…

General Mathematics · Mathematics 2026-04-24 Xiaoyang Duan , Peixin Zhao

Scheduling precedence-constrained tasks is a classical problem that has been studied for more than fifty years. However, little progress has been made in the setting where there are communication delays between tasks. Results for the case…

Performance · Computer Science 2020-05-01 Yu Su , Xiaoqi Ren , Shai Vardi , Adam Wierman

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

Optimization and Control · Mathematics 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher

The number of railway service disruptions has been increasing owing to intensification of natural disasters. In addition, abrupt changes in social situations such as the COVID-19 pandemic require railway companies to modify the traffic…

Artificial Intelligence · Computer Science 2022-01-19 Shumpei Kubosawa , Takashi Onishi , Makoto Sakahara , Yoshimasa Tsuruoka

This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

Data Structures and Algorithms · Computer Science 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu

Generating high-quality schedules for a rotating workforce is a critical task in all settings where a certain staffing level must be guaranteed beyond the capacity of single employees, such as for instance in industrial plants, hospitals,…

Other Computer Science · Computer Science 2011-11-09 Nysret Musliu , Johannes Gaertner , Wolfgang Slany

Structural properties of optimal preemptive schedules have been studied in a number of recent papers with a primary focus on two structural parameters: the minimum number of preemptions necessary, and a tight lower bound on `shifts', i.e.,…

Discrete Mathematics · Computer Science 2021-03-05 Bo Chen , Ed Coffman , Dariusz Dereniowski , Wieslaw Kubiak

Scheduling theory is an old and well-established area in combinatorial optimization, whereas the much younger area of parameterized complexity has only recently gained the attention of the community. Our aim is to bring these two areas…

Data Structures and Algorithms · Computer Science 2017-09-14 Danny Hermelin , Judith-Madeleine Kubitza , Dvir Shabtay , Nimrod Talmon , Gerhard Woeginger

We revisit the complexity of the classical Interval Scheduling in the dynamic setting. In this problem, the goal is to maintain a set of intervals under insertions and deletions and report the size of the maximum size subset of pairwise…

Data Structures and Algorithms · Computer Science 2022-10-04 Paweł Gawrychowski , Karol Pokorski

We consider a project that consists of activities to be performed in parallel under various temporal constraints, which include start-start, start-finish and finish-start precedence relationships, release times, deadlines, and due dates.…

Optimization and Control · Mathematics 2016-12-23 N. Krivulin

We consider load scheduling on constrained continuous-time linear dynamical systems, such as automated irrigation and other distribution networks. The requested loads are rigid, i.e., the shapes cannot be changed. Hence, it is only possible…

Optimization and Control · Mathematics 2016-11-15 Farhad Farokhi , Michael Cantoni , Iman Shames

We consider the Windows Scheduling problem. The problem is a restricted version of Unit-Fractions Bin Packing, and it is also called Inventory Replenishment in the context of Supply Chain. In brief, the problem is to schedule the use of…

Data Structures and Algorithms · Computer Science 2014-04-07 Martin Farach-Colton , Katia Leal , Miguel A. Mosteiro , Christopher Thraves

Contract scheduling is a general technique that allows to design a system with interruptible capabilities, given an algorithm that is not necessarily interruptible. Previous work on this topic has largely assumed that the interruption is a…

Artificial Intelligence · Computer Science 2020-11-26 Spyros Angelopoulos , Shahin Kamali

We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance…

Data Structures and Algorithms · Computer Science 2024-01-02 Pierre Bergé , Mari Chaikovskaia , Jean-Philippe Gayon , Alain Quilliot

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…

Optimization and Control · Mathematics 2024-10-28 László Lindenmaier , István Ferenc Lövétei , Szilárd Aradi

This paper presents improved approximation algorithms for the problem of multiprocessor scheduling under uncertainty, or SUU, in which the execution of each job may fail probabilistically. This problem is motivated by the increasing use of…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-02-19 Christopher Crutchfield , Zoran Dzunic , Jeremy T. Fineman , David R. Karger , Jacob Scott

Dismantling aircrafts reaching their end of life is a complex endeavour that is necessary in terms of sustainability but yields small income margins for air transport companies. An efficient scheduling of the disassembly procedure is thus…

Artificial Intelligence · Computer Science 2026-05-25 Charles Thomas , Pierre Schaus

We consider variants of the restricted assignment problem where a set of jobs has to be assigned to a set of machines, for each job a size and a set of eligible machines is given, and the jobs may only be assigned to eligible machines with…

Data Structures and Algorithms · Computer Science 2022-03-14 Marten Maack , Simon Pukrop , Anna Rodriguez Rasmussen

We study a fair resource scheduling problem, where a set of interval jobs are to be allocated to heterogeneous machines controlled by agents. Each job is associated with release time, deadline, and processing time such that it can be…

Computer Science and Game Theory · Computer Science 2022-01-03 Bo Li , Minming Li , Ruilong Zhang

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…

Data Structures and Algorithms · Computer Science 2016-12-14 Chidambaram Annamalai