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Related papers: Scheduling with Many Shared Resources

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A central problem in scheduling is to schedule $n$ unit size jobs with precedence constraints on $m$ identical machines so as to minimize the makespan. For $m=3$, it is not even known if the problem is NP-hard and this is one of the last…

Data Structures and Algorithms · Computer Science 2017-08-16 Shashwat Garg

We study the scheduling problem on unrelated machines in the mechanism design setting. This problem was proposed and studied in the seminal paper (Nisan and Ronen 1999), where they gave a 1.75-approximation randomized truthful mechanism for…

Data Structures and Algorithms · Computer Science 2008-02-21 Pinyan Lu , Changyuan Yu

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

We consider scheduling on identical and unrelated parallel machines with job assignment restrictions. These problems are NP-hard and they do not admit polynomial time approximation algorithms with approximation ratios smaller than $1.5$…

Data Structures and Algorithms · Computer Science 2017-01-26 Klaus Jansen , Marten Maack , Roberto Solis-Oba

Multicore shared cache processors pose a challenge for designers of embedded systems who try to achieve minimal and predictable execution time of workloads consisting of several jobs. To address this challenge the cache is statically…

Data Structures and Algorithms · Computer Science 2012-11-26 Avinatan Hassidim , Haim Kaplan , Omry Tuval

We consider the pull-based broadcast scheduling model. In this model, there are n unit-sized pages of information available at the server. Requests arrive over time at the server asking for a specific page. When the server transmits a page,…

Data Structures and Algorithms · Computer Science 2013-09-17 Sungjin Im , Maxim Sviridenko

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 problem of scheduling $n$ precedence-constrained jobs on $m$ uniformly-related machines in the presence of an arbitrary, fixed communication delay $\rho$. We consider a model that allows job duplication, i.e. processing of…

Data Structures and Algorithms · Computer Science 2020-04-24 Biswaroop Maiti , Rajmohan Rajaraman , David Stalfa , Zoya Svitkina , Aravindan Vijayaraghavan

We consider non-preemptive scheduling of MapReduce jobs with multiple tasks in the practical scenario where each job requires several map-reduce rounds. We seek to minimize the average weighted completion time and consider scheduling on…

Data Structures and Algorithms · Computer Science 2016-02-18 Dimitris Fotakis , Ioannis Milis , Orestis Papadigenopoulos , Vasilis Vassalos , Georgios Zois

Malleable scheduling is a model that captures the possibility of parallelization to expedite the completion of time-critical tasks. A malleable job can be allocated and processed simultaneously on multiple machines, occupying the same time…

Discrete Mathematics · Computer Science 2022-03-29 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

In this paper we consider the problem of scheduling on parallel machines with a presence of incompatibilities between jobs. The incompatibility relation can be modeled as a complete multipartite graph in which each edge denotes a pair of…

Data Structures and Algorithms · Computer Science 2021-09-17 Tytus Pikies , Krzysztof Turowski , Marek Kubale

We revisit two well-studied scheduling problems in the unrelated machines setting where each job can have a different processing time on each machine. For minimizing total weighted completion time we give a 1.45-approximation, which…

Data Structures and Algorithms · Computer Science 2022-11-21 Sungjin Im , Shi Li

This work proposes and studies the distributed resource allocation problem in asynchronous and stochastic settings. We consider a distributed system with multiple workers and a coordinating server with heterogeneous computation and…

Optimization and Control · Mathematics 2025-09-03 Qiang Li , Michal Yemini , Hoi-To Wai

Motivated by mail delivery scheduling problems arising in Royal Mail, we study a generalization of the fundamental makespan scheduling P||Cmax problem which we call the bounded job start scheduling problem. Given a set of jobs, each…

Data Structures and Algorithms · Computer Science 2021-02-09 Dimitrios Letsios , Jeremy T. Bradley , Suraj G , Ruth Misener , Natasha Page

Given n jobs with release dates, deadlines and processing times we consider the problem of scheduling them on m parallel machines so as to minimize the total energy consumed. Machines can enter a sleep state and they consume no energy in…

Data Structures and Algorithms · Computer Science 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

We initiate the work on maximin share (MMS) fair allocation of m indivisible chores to n agents using only their ordinal preferences, from both algorithmic and mechanism design perspectives. The previous best-known approximation is 2-1/n by…

Computer Science and Game Theory · Computer Science 2020-12-29 Haris Aziz , Bo Li , Xiaowei Wu

We propose constant approximation algorithms for generalizations of the Flexible Flow Shop (FFS) problem which form a realistic model for non-preemptive scheduling in MapReduce systems. Our results concern the minimization of the total…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-25 Dimitrios Fotakis , Ioannis Milis , Emmanouil Zampetakis , Georgios Zois

The problem of scheduling unrelated machines by a truthful mechanism to minimize the makespan was introduced in the seminal "Algorithmic Mechanism Design" paper by Nisan and Ronen. Nisan and Ronen showed that there is a truthful mechanism…

Computer Science and Game Theory · Computer Science 2020-11-17 Shahar Dobzinski , Ariel Shaulker

We consider the classical makespan minimization scheduling problem where $n$ jobs must be scheduled on $m$ identical machines. Using weighted random sampling, we developed two sublinear time approximation schemes: one for the case where $n$…

Data Structures and Algorithms · Computer Science 2026-05-05 Bin Fu , Yumei Huo , Hairong Zhao

In the weighted flow-time problem on a single machine, we are given a set of n jobs, where each job has a processing requirement p_j, release date r_j and weight w_j. The goal is to find a preemptive schedule which minimizes the sum of…

Data Structures and Algorithms · Computer Science 2018-08-21 Jatin Batra , Naveen Garg , Amit Kumar
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