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We study the classical problem of minimizing the total weighted completion time on a fixed set of $m$ identical machines working in parallel, the $Pm||\sum w_jC_j$ problem in the standard three field notation for scheduling problems. This…

Data Structures and Algorithms · Computer Science 2025-02-20 Danny Hermelin , Tomohiro Koana , Dvir Shabtay

The main advantage of Constraint Programming (CP) approaches for sequential pattern mining (SPM) is their modularity, which includes the ability to add new constraints (regular expressions, length restrictions, etc). The current best CP…

Databases · Computer Science 2016-04-06 John O. R. Aoga , Tias Guns , Pierre Schaus

In many manufacturing processes, batch processing is frequently needed for capacity reasons. This applies both to parallel and serial batching. However, while the serial batch processing is largely studied in the literature, as it is…

Optimization and Control · Mathematics 2024-02-14 Arianna Alfieri , Alessandro Druetto , Andrea Grosso , Fabio Salassa

In malleable job scheduling, jobs can be executed simultaneously on multiple machines with the processing time depending on the number of allocated machines. In this setting, jobs are required to be executed non-preemptively and in unison,…

Data Structures and Algorithms · Computer Science 2020-04-08 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We consider the flow network model to solve the multiprocessor real-time task scheduling problems. Using the flow network model or its generic form, linear programming (LP) formulation, for the problems is not new. However, the previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-22 Hyeonjoong Cho , Arvind Easwaran

This article studies the problem of modifying the action ordering of a plan in order to optimise the plan according to various criteria. One of these criteria is to make a plan less constrained and the other is to minimize its parallel…

Artificial Intelligence · Computer Science 2011-05-30 C. Backstrom

This study investigates scheduling strategies for the stochastic resource-constrained project scheduling problem with maximal time lags (SRCPSP/max)). Recent advances in Constraint Programming (CP) and Temporal Networks have reinvoked…

Artificial Intelligence · Computer Science 2025-03-25 Kim van den Houten , Léon Planken , Esteban Freydell , David M. J. Tax , Mathijs de Weerdt

We consider the online busy time scheduling problem motivated by energy and cost minimization in cloud computing systems. The input is a set of jobs $J=\{1,\dots,n\}$ where each job $j\in J$ has a release time $r_j$, deadline $d_j$, and…

Data Structures and Algorithms · Computer Science 2025-10-20 Susanne Albers , G. Wessel van der Heijden

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…

Computational Complexity · Computer Science 2021-12-07 Sagnik Saha , Manish Purohit

Modern high performance computing (HPC) systems exhibit a rapid growth in size, both "horizontally" in the number of nodes, as well as "vertically" in the number of cores per node. As such, they offer additional levels of hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Ahmed Eleliemy , Ali Mohammed , Florina M. Ciorba

The job shop scheduling problem (JSSP) remains a significant hurdle in optimizing production processes. This challenge involves efficiently allocating jobs to a limited number of machines while minimizing factors like total processing time…

Artificial Intelligence · Computer Science 2024-08-14 Henrik Abgaryan , Ararat Harutyunyan , Tristan Cazenave

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 present and study a new model for energy-aware and profit-oriented scheduling on a single processor. The processor features dynamic speed scaling as well as suspension to a sleep mode. Jobs arrive over time, are preemptable, and have…

Data Structures and Algorithms · Computer Science 2012-09-14 Peter Kling , Andreas Cord-Landwehr , Frederik Mallmann-Trenn

We consider the single machine scheduling problem with job-dependent machine deterioration. In the problem, we are given a single machine with an initial non-negative maintenance level, and a set of jobs each with a non-preemptive…

Data Structures and Algorithms · Computer Science 2017-02-23 Wenchang Luo , Yao Xu , Weitian Tong , Guohui Lin

We present a novel parallelisation scheme that simplifies the adaptation of learning algorithms to growing amounts of data as well as growing needs for accurate and confident predictions in critical applications. In contrast to other…

Machine Learning · Computer Science 2018-10-09 Michael Kamp , Mario Boley , Olana Missura , Thomas Gärtner

We introduce the following elementary scheduling problem. We are given a collection of n jobs, where each job has an integer length as well as a set Ti of time intervals in which it can be feasibly scheduled. Given a parameter B, the…

Data Structures and Algorithms · Computer Science 2012-08-02 Jessica Chang , Harold N. Gabow , Samir Khuller

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to $g$ jobs during each timestep. The goal in the active-time…

Data Structures and Algorithms · Computer Science 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

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…

Discrete Mathematics · Computer Science 2019-06-27 Marinus Gottschau , Felix Happach , Marcus Kaiser , Clara Waldmann

The problem of scheduling unrelated machines has been studied since the inception of algorithmic mechanism design \cite{NR99}. It is a resource allocation problem that entails assigning $m$ tasks to $n$ machines for execution. Machines are…

Computer Science and Game Theory · Computer Science 2022-04-21 Yansong Gao , Jie Zhang