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We consider the problem of dynamically scheduling J jobs on N processors for non-preemptive execution where the value of each job (or the reward garnered upon completion) decays over time. All jobs are initially available in a buffer and…

Optimization and Control · Mathematics 2009-07-22 Carri W. Chan , Nick Bambos

We investigate the scheduling of $n$ jobs divided into $c$ classes on $m$ identical parallel machines. For every class there is a setup time which is required whenever a machine switches from the processing of one class to another class.…

Data Structures and Algorithms · Computer Science 2019-05-02 Max A. Deppert , Klaus Jansen

Scheduling jobs with precedence constraints on a set of identical machines to minimize the total processing time (makespan) is a fundamental problem in combinatorial optimization. In practical settings such as cloud computing, jobs are…

Data Structures and Algorithms · Computer Science 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi

Scheduling a set of jobs over a collection of machines is a fundamental problem that needs to be solved millions of times a day in various computing platforms: in operating systems, in large data clusters, and in data centers. Along with…

Data Structures and Algorithms · Computer Science 2018-07-10 Janardhan Kulkarni , Shi Li

Consider the problem in which n jobs that are classified into k types are to be scheduled on m identical machines without preemption. A machine requires a proper setup taking s time units before processing jobs of a given type. The…

Data Structures and Algorithms · Computer Science 2015-04-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

Parallel machine scheduling has been extensively studied in the past decades, with applications ranging from production planning to job processing in large computing clusters. In this work we study some of these fundamental optimization…

Data Structures and Algorithms · Computer Science 2015-09-08 Yael Mordechai

We consider the classic problem of scheduling jobs with precedence constraints on a set of identical machines to minimize the makespan objective function. Understanding the exact approximability of the problem when the number of machines is…

Data Structures and Algorithms · Computer Science 2020-04-30 Janardhan Kulkarni , Shi Li , Jakub Tarnawski , Minwei Ye

In this paper, we study the following batch scheduling model: find a schedule that minimizes total flow time for $n$ uniform length jobs, with release times and deadlines, where the machine is only actively processing jobs in at most $k$…

Data Structures and Algorithms · Computer Science 2022-06-06 Sami Davies , Samir Khuller , Shirley Zhang

This paper studies the bicriteria problem of scheduling $n$ jobs on a serial-batch machine to minimize makespan and maximum cost simultaneously. A serial-batch machine can process up to $b$ jobs as a batch, where $b$ is known as the batch…

Data Structures and Algorithms · Computer Science 2025-04-01 Shuguang Li , Zhenxin Wen , Jing Wei

We consider the following scheduling problem. There is a single machine and the jobs will arrive for completion online. Each job j is preemptive and, upon its arrival, its other characteristics are immediately revealed to the machine: the…

Data Structures and Algorithms · Computer Science 2015-09-14 Patrick Loiseau , Xiaohu Wu

We are given a set of jobs, each one specified by its release date, its deadline and its processing volume (work), and a single (or a set of) speed-scalable processor(s). We adopt the standard model in speed-scaling in which if a processor…

Data Structures and Algorithms · Computer Science 2012-11-26 Evripidis Bampis , Giorgio Lucarelli , Ioannis Nemparis

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

A queue is required when a service provider is not able to handle jobs arriving over the time. In a highly flexible and dynamic environment, some jobs might demand for faster execution at run-time especially when the resources are limited…

Performance · Computer Science 2015-03-24 Yash Gupta , Kamalakar Karlapalem

We study a fundamental online scheduling problem where jobs with processing times, weights, and deadlines arrive online over time at their release dates. The task is to preemptively schedule these jobs on a single or multiple (possibly…

Data Structures and Algorithms · Computer Science 2023-10-26 Franziska Eberle

We study fair mechanisms for the classic job scheduling problem on unrelated machines with the objective of minimizing the makespan. This problem is equivalent to minimizing the egalitarian social cost in the fair division of chores. The…

Computer Science and Game Theory · Computer Science 2024-12-12 Michal Feldman , Jugal Garg , Vishnu V. Narayan , Tomasz Ponitka

Deep neural networks training jobs and other iterative computations frequently include checkpoints where jobs can be canceled based on the current value of monitored metrics. While most of existing results focus on the performance of all…

Performance · Computer Science 2022-09-30 Yuan Yao , Marco Paolieri , Leana Golubchik

We consider the coflow scheduling problem in the non-clairvoyant setting, assuming that flow sizes are realized on-line according to given probability distributions. The goal is to minimize the weighted average completion time of coflows in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-06 Olivier Brun , Balakrishna J. Prabhu

We consider the scheduling problem on $n$ strategic unrelated machines when no payments are allowed, under the objective of minimizing the makespan. We adopt the model introduced in [Koutsoupias, Theory Comput. Syst. (2014)] where a machine…

Computer Science and Game Theory · Computer Science 2018-12-05 Yiannis Giannakopoulos , Elias Koutsoupias , Maria Kyropoulou

We analyze a data-processing system with $n$ clients producing jobs which are processed in \textit{batches} by $m$ parallel servers; the system throughput critically depends on the batch size and a corresponding sub-additive speedup…

Performance · Computer Science 2020-09-22 Sounak Kar , Robin Rehrmann , Arpan Mukhopadhyay , Bastian Alt , Florin Ciucu , Heinz Koeppl , Carsten Binnig , Amr Rizk

We consider a scheduling problem of strategic agents representing jobs of different weights. Each agent has to decide on one of a finite set of identical machines to get their job processed. In contrast to the common and exclusive focus on…

Computer Science and Game Theory · Computer Science 2025-12-16 Wei-Chen Lee , Martin Bullinger , Alessandro Abate , Michael Wooldridge