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Deep learning has been effectively applied to many discrete optimization problems. However, learning-based scheduling on unrelated parallel machines remains particularly difficult to design. Not only do the numbers of jobs and machines…

Machine Learning · Computer Science 2025-12-23 Diego Hitzges , Guillaume Sagnol

A multiple server setting is considered, where each server has tunable speed, and increasing the speed incurs an energy cost. Jobs arrive to a single queue, and each job has two types of sub-tasks, map and reduce, and a {\bf precedence}…

Data Structures and Algorithms · Computer Science 2021-05-20 Rahul Vaze , Jayakrishnan Nair

We study the early work scheduling problem on identical parallel machines in order to maximize the total early work, i.e., the parts of non-preemptive jobs executed before a common due date. By preprocessing and constructing an auxiliary…

Data Structures and Algorithms · Computer Science 2020-07-27 Weidong Li

We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

Data Structures and Algorithms · Computer Science 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior

One typical use case of large-scale distributed computing in data centers is to decompose a computation job into many independent tasks and run them in parallel on different machines, sometimes known as the "embarrassingly parallel"…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-07 Da Wang , Gauri Joshi , Gregory Wornell

We study the problem of minimizing total completion time on parallel machines subject to varying processing capacity. In this paper, we develop an approximation scheme for the problem under the data stream model where the input data is…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

We consider scheduling two types of jobs (A-job and B-job) to $p$ machines and minimizing their makespan. A group of same type of jobs processed consecutively by a machine is called a batch. For machine $v$, processing $x$ A-jobs in a batch…

Data Structures and Algorithms · Computer Science 2025-03-17 Song Cao , Kai Jin

We introduce a novel adversarial model for scheduling with explorable uncertainty. In this model, the processing time of a job can potentially be reduced (by an a priori unknown amount) by testing the job. Testing a job $j$ takes one unit…

Data Structures and Algorithms · Computer Science 2020-05-15 Christoph Dürr , Thomas Erlebach , Nicole Megow , Julie Meißner

Submodular function maximization has been studied extensively in recent years under various constraints and models. The problem plays a major role in various disciplines. We study a natural online variant of this problem in which elements…

Data Structures and Algorithms · Computer Science 2015-01-26 Niv Buchbinder , Moran Feldman , Roy Schwartz

This paper focuses on the analysis of real-time non preemptive multiprocessor scheduling with precedence and several latency constraints. It aims to specify a schedulability condition which enables a designer to check a priori -without…

Operating Systems · Computer Science 2013-01-22 Omar Kermia

Reconfigurable optical topologies are emerging as a promising technology to improve the efficiency of datacenter networks. This paper considers the problem of scheduling opportunistic links in such reconfigurable datacenters. We study the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-16 Janardhan Kulkarni , Stefan Schmid , Paweł Schmidt

We study the scheduling of jobs on a single parallel-batching machine with non-identical job sizes and incompatible job families. Jobs from the same family have the same processing time and can be loaded into a batch, as long as the batch…

Optimization and Control · Mathematics 2021-02-04 Fan Yang , Morteza Davari , Wenchao Wei , Ben Hermans , Roel Leus

Recent years have witnessed a rapid growth of distributed machine learning (ML) frameworks, which exploit the massive parallelism of computing clusters to expedite ML training. However, the proliferation of distributed ML frameworks also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Menglu Yu , Jia Liu , Chuan Wu , Bo Ji , Elizabeth S. Bentley

Speed-robust scheduling is the following two-stage problem of scheduling $n$ jobs on $m$ uniformly related machines. In the first stage, the algorithm receives the value of $m$ and the processing times of $n$ jobs; it has to partition the…

Data Structures and Algorithms · Computer Science 2024-07-17 Josef Minařík , Jiří Sgall

We consider non-preemptive scheduling problems on parallel identical machines where machines change their status from being available to being unavailable and vice versa along the time horizon. The particular form of unavailability we…

Data Structures and Algorithms · Computer Science 2023-06-21 G. Jaykrishnan , Asaf Levin

We study approximation algorithms for the problem of minimizing the makespan on a set of machines with uncertainty on the processing times of jobs. In the model we consider, which goes back to~\cite{BertsimasS03}, once the schedule is…

Data Structures and Algorithms · Computer Science 2019-05-22 Marin Bougeret , Klaus Jansen , Michael Poss , Lars Rohwedder

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…

Optimization and Control · Mathematics 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

The evolution in the design of modern parallel platforms leads to revisit the scheduling jobs on distributed heterogeneous resources. The goal of this survey is to present the main existing algorithms, to classify them based on their…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-31 Olivier Beaumont , Louis-claude Canon , Lionel Eyraud-Dubois , Giorgio Lucarelli , Loris Marchal , Clément Mommessin , Bertrand Simon , Denis Trystram

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

This paper compares two leading approaches for robust optimization in the models of online algorithms and mechanism design. Competitive analysis compares the performance of an online algorithm to an offline benchmark in worst-case over…

Computer Science and Game Theory · Computer Science 2020-09-09 Jason Hartline , Aleck Johnsen , Yingkai Li