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We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

Data Structures and Algorithms · Computer Science 2020-06-11 Martin Olsen , Allan Gross

In this paper, we explore how a natural generalization of Shortest Remaining Processing Time (SRPT) can be a powerful \emph{meta-algorithm} for online scheduling. The meta-algorithm processes jobs to maximally reduce the objective of the…

Data Structures and Algorithms · Computer Science 2024-09-06 Qingyun Chen , Sungjin Im , Aditya Petety

We consider a stochastic online problem where $n$ applicants arrive over time, one per time step. Upon arrival of each applicant their cost per time step is revealed, and we have to fix the duration of employment, starting immediately. This…

Data Structures and Algorithms · Computer Science 2017-05-31 Yann Disser , John Fearnley , Martin Gairing , Oliver Göbel , Max Klimm , Daniel Schmand , Alexander Skopalik , Andreas Tönnis

We consider the following shared-resource scheduling problem: Given a set of jobs $J$, for each $j\in J$ we must schedule a job-specific processing volume of $v_j>0$. A total resource of $1$ is available at any time. Jobs have a resource…

Data Structures and Algorithms · Computer Science 2023-10-11 Christoph Damerius , Peter Kling , Florian Schneider

Motivated by the Quality-of-Service (QoS) buffer management problem, we consider online scheduling of packets with hard deadlines in a finite capacity queue. At any time, a queue can store at most $b \in \mathbb Z^+$ packets. Packets arrive…

Data Structures and Algorithms · Computer Science 2009-02-09 Fei Li

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

We consider some flow-time minimization problems in the unrelated machines setting. In this setting, there is a set of $m$ machines and a set of $n$ jobs, and each job $j$ has a machine dependent processing time of $p_{ij}$ on machine $i$.…

Data Structures and Algorithms · Computer Science 2015-06-11 Nikhil Bansal , Janardhan Kulkarni

We consider a scheduling problem where a cloud service provider has multiple units of a resource available over time. Selfish clients submit jobs, each with an arrival time, deadline, length, and value. The service provider's goal is to…

Computer Science and Game Theory · Computer Science 2017-03-03 Shuchi Chawla , Nikhil Devanur , Janardhan Kulkarni , Rad Niazadeh

Designing an efficient concurrent data structure is an important challenge that is not easy to meet. Intuitively, efficiency of an implementation is defined, in the first place, by its ability to process applied operations in parallel,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-15 Vitaly Aksenov , Vincent Gramoli , Petr Kuznetsov , Srivatsan Ravi , Di Shang

Motivated by cloud computing applications, we study the problem of how to optimally deploy new hardware subject to both power and robustness constraints. To model the situation observed in large-scale data centers, we introduce the Online…

Data Structures and Algorithms · Computer Science 2022-09-05 Konstantina Mellou , Marco Molinaro , Rudy Zhou

We consider the problem of online dynamic power management that provides hard real-time guarantees. In this problem, each of the given jobs is associated with an arrival time, a deadline, and an execution time, and the objective is to…

Data Structures and Algorithms · Computer Science 2013-04-09 Jian-Jia Chen , Mong-Jen Kao , D. T. Lee , Ignaz Rutter , Dorothea Wagner

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

We consider the problem of scheduling $n$ jobs to minimize the makespan on $m$ unrelated machines, where job $j$ requires time $p_{ij}$ if processed on machine $i$. A classic algorithm of Lenstra et al. yields the best known approximation…

Data Structures and Algorithms · Computer Science 2014-06-24 Dor Arad , Yael Mordechai , Hadas Shachnai

This paper presents scheduling algorithms for procrastinators, where the speed that a procrastinator executes a job increases as the due date approaches. We give optimal off-line scheduling policies for linearly increasing speed functions.…

Data Structures and Algorithms · Computer Science 2011-01-05 Michael A. Bender , Raphael Clifford , Kostas Tsichlas

We study a scheduling problem arising in demand response management in smart grid. Consumers send in power requests with a flexible feasible time interval during which their requests can be served. The grid controller, upon receiving power…

Data Structures and Algorithms · Computer Science 2017-08-07 Fu-Hong Liu , Hsiang-Hsuan Liu , Prudence W. H. Wong

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

Algorithms with predictions is a recent framework that has been used to overcome pessimistic worst-case bounds in incomplete information settings. In the context of scheduling, very recent work has leveraged machine-learned predictions to…

Data Structures and Algorithms · Computer Science 2022-12-08 Eric Balkanski , Tingting Ou , Clifford Stein , Hao-Ting Wei

We consider the problem of online interval scheduling on a single machine, where intervals arrive online in an order chosen by an adversary, and the algorithm must output a set of non-conflicting intervals. Traditionally in scheduling…

Data Structures and Algorithms · Computer Science 2023-05-29 Allan Borodin , Christodoulos Karavasilis

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