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Related papers: Heavy-Tailed Limits for Medium Size Jobs and Compa…

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The paper considers single-machine scheduling problems with a non-renewable resource. In this setting, we are given a set jobs, each of which is characterized by a processing time, a weight, and the job also has some resource requirement.…

Data Structures and Algorithms · Computer Science 2019-11-28 Kristóf Bérczi , Tamás Király , Simon Omlor

We introduce and study a general scheduling problem that we term the Packing Scheduling problem. In this problem, jobs can have different arrival times and sizes; a scheduler can process job $j$ at rate $x_j$, subject to arbitrary packing…

Data Structures and Algorithms · Computer Science 2014-04-07 Sungjin Im , Janardhan Kulkarni , Kamesh Munagala

Federated scheduling is a promising approach to schedule parallel real-time tasks on multi-cores, where each heavy task exclusively executes on a number of dedicated processors, while light tasks are treated as sequential sporadic tasks and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-10 Xu Jiang , Nan Guan , Xiang Long , Wang Yi

Scheduling to minimize mean response time in an M/G/1 queue is a classic problem. The problem is usually addressed in one of two scenarios. In the perfect-information scenario, the scheduler knows each job's exact size, or service…

Performance · Computer Science 2018-11-13 Ziv Scully , Mor Harchol-Balter , Alan Scheller-Wolf

The service rate region (SRR) has emerged as a critical performance metric for distributed systems that store data redundantly. It measures the system's ability to serve multiple users concurrently. Mathematically, the SRR is a polytope in…

Information Theory · Computer Science 2025-12-12 Hoang Ly , Emina Soljanin

Minimizing the sum of weighted completion times on $m$ identical parallel machines is one of the most important and classical scheduling problems. For the stochastic variant where processing times of jobs are random variables, M\"ohring,…

Discrete Mathematics · Computer Science 2018-04-30 Sven Jäger , Martin Skutella

We consider a sequence of single-server queueing models operating under a service policy that incorporates batches into processor sharing: arriving jobs build up behind a gate while waiting to begin service, while jobs in front of the gate…

Probability · Mathematics 2023-02-15 H. Christian Gromoll , Katelynn D. Kochalski

The scheduling literature has traditionally focused on a single type of resource (e.g., computing nodes). However, scientific applications in modern High-Performance Computing (HPC) systems process large amounts of data, hence have diverse…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-15 Lucas Perotin , Hongyang Sun , Padma Raghavan

Conventional wisdom for minimizing the average flow completion time (AFCT) in the datacenter network (DCN), where flow sizes are highly variable, would suggest scheduling every individual flow. However, we show that considering scheduling…

Networking and Internet Architecture · Computer Science 2020-01-24 Soheil Abbasloo , Yang Xu , H. Jonathan Chao

Discriminatory Processor Sharing policy introduced by Kleinrock is of a great interest in many application areas, including telecommunications, web applications and TCP flow modelling. Under the DPS policy the job priority is controlled by…

Networking and Internet Architecture · Computer Science 2008-12-18 Natalia Osipova

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

In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

Machine Learning · Statistics 2025-05-07 Jung-hun Kim , Min-hwan Oh

The scheduling of production resources (such as associating jobs to machines) plays a vital role for the manufacturing industry not only for saving energy but also for increasing the overall efficiency. Among the different job scheduling…

Artificial Intelligence · Computer Science 2023-03-07 Deepak Vivekanandan , Samuel Wirth , Patrick Karlbauer , Noah Klarmann

This work introduces a new multi-task, parameter-efficient language model (LM) tuning method that learns to transfer knowledge across different tasks via a mixture of soft prompts-small prefix embedding vectors pre-trained for different…

Computation and Language · Computer Science 2022-12-02 Akari Asai , Mohammadreza Salehi , Matthew E. Peters , Hannaneh Hajishirzi

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

In the restricted assignment problem, the input consists of a set of machines and a set of jobs each with a processing time and a subset of eligible machines. The goal is to find an assignment of the jobs to the machines minimizing the…

Computational Complexity · Computer Science 2019-07-09 Marten Maack , Klaus Jansen

Massive machine type communication (mMTC) has been identified as an important use case in Beyond 5G networks and future massive Internet of Things (IoT). However, for the massive multiple access in mMTC, there is a serious access preamble…

Information Theory · Computer Science 2021-02-26 Gaofeng Cheng , Huan Chen , Pingzhi Fan , Li Li , Li Hao

Task-specific fine-tuning is essential for the deployment of large language models (LLMs), but it requires significant computational resources and time. Existing solutions have proposed coreset selection methods to improve data efficiency…

Machine Learning · Computer Science 2024-10-03 Xiaoyu Zhang , Juan Zhai , Shiqing Ma , Chao Shen , Tianlin Li , Weipeng Jiang , Yang Liu

We consider a processor sharing storage allocation model, which has m primary holding spaces and infinitely many secondary ones, and a single processor servicing the stored items (customers). All of the spaces are numbered and ordered. An…

Classical Analysis and ODEs · Mathematics 2009-07-22 Eunju Sohn , Charles Knessl

We study the design of dynamic scheduling controls in closed queueing networks with a fixed number of jobs. Each time a server becomes available, the controller has (limited) flexibility in choosing the buffer from which to serve a job. If…

Probability · Mathematics 2022-10-18 Siddhartha Banerjee , Yash Kanoria , Pengyu Qian