Number partitioning | Optimal scheduling

Identical-machines scheduling

Identical-machines scheduling is an optimization problem in computer science and operations research. We are given n jobs J1, J2, ..., Jn of varying processing times, which need to be scheduled on m identical machines, such that a certain objective function is optimized, for example, the makespan is minimized. Identical machine scheduling is a special case of uniform machine scheduling, which is itself a special case of optimal job scheduling. In the general case, the processing time of each job may be different on different machines; in the case of identical machine scheduling, the processing time of each job is the same on each machine. Therefore, identical machine scheduling is equivalent to multiway number partitioning. A special case of identical machine scheduling is single-machine scheduling. In the standard three-field notation for optimal job scheduling problems, the identical-machines variant is denoted by P in the first field. For example, " P||" is an identical machine scheduling problem with no constraints, where the goal is to minimize the maximum completion time. In some variants of the problem, instead of minimizing the maximum completion time, it is desired to minimize the average completion time (averaged over all n jobs); it is denoted by P||. More generally, when some jobs are more important than others, it may be desired to minimize a weighted average of the completion time, where each job has a different weight. This is denoted by P||. (Wikipedia).

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Viswanath Nagarajan: Stochastic load balancing on unrelated machines

The lecture was held within the framework of the follow-up workshop to the Hausdorff Trimester Program: Combinatorial Optimization. Abstract: We consider the unrelated machine scheduling problem when job processing-times are stochastic. We provide the first constant factor approximation

From playlist Follow-Up-Workshop "Combinatorial Optimization"

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Scheduling: The List Processing Algorithm Part 1

This lesson explains and provides an example of the list processing algorithm to make a schedule given a priority list. Site: http://mathispower4u.com

From playlist Scheduling

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Jannik Matuschke: Generalized Malleable Scheduling via Discrete Convexity

In malleable scheduling, jobs can b e executed simultaneously on multiple machines with the prcessing time depending on the numb er of allocated machines. Each job is required to be executed non-preemptively and in unison, i.e., it has to occupy the same time interval on all its allocated

From playlist Workshop: Approximation and Relaxation

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Scheduling: The Decreasing Time Algorithm

This lesson explains how to use the decreasing time algorithm to create a priority list and then a schedule. Site: http://mathispower4u.com

From playlist Scheduling

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Process Scheduling

An animation showing the main features of a process scheduling system including the ready queue, blocked queue, high level scheduler and low level scheduler. It explains the principle of a round robin scheduling algorithm.

From playlist Operating Systems

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Thomas Rothvoß: Scheduling with Communication Delays via LP Hierarchies and Clustering

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 P | prec,c | Cmax, if two dependent jobs are scheduled on different machines, then at least c unit

From playlist Workshop: Approximation and Relaxation

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Introduction to Scheduling

This lesson introduces the topic of scheduling and define basic scheduling vocabulary. Site: http://mathispower4u.com

From playlist Scheduling

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Into to the Mathematics of Scheduling

Terminology explained includes preference schedule, digraphs, tasks, arcs, processors, and timelines.

From playlist Discrete Math

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Scheduling: The List Processing Algorithm Part 2

This lesson explains and provides an example of the list processing algorithm to create a digraph and make a schedule. Site: http://mathispower4u.com

From playlist Scheduling

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PSHSummit 2022 - Feeling Triggered?!? by Pierre Roman

PowerShell Summit videos are recorded on a "best effort" basis. We use a room mic to capture as much room audio as possible, with an emphasis on capturing the speaker. Our recordings are made in a way that minimizes overhead for our speakers and interruptions to our live audience. These re

From playlist PowerShell + DevOps Global Summit 2022

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Hadoop Interview Questions And Answers Part-1 | Big Data Interview Questions & Answers | Simplilearn

This video on Hadoop interview questions part-1 will take you through the general Hadoop questions and questions on HDFS, MapReduce and YARN, which are very likely to be asked in any Hadoop interview. It covers all the topics on the major components of Hadoop. This Hadoop tutorial will giv

From playlist Interview Questions And Answers | Simplilearn🔥[2022 Updated]

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Azure Tutorial For Beginners | Microsoft Azure Tutorial For Beginners | Azure Tutorial | Simplilearn

🔥Azure Cloud Architect Program (Discount Coupon: YTBE15): https://www.simplilearn.com/azure-cloud-architect-certification-training-course?utm_campaign=Azure-oXK2kQOV5Yk&utm_medium=DescriptionFirstFold&utm_source=youtube 🔥Caltech Cloud Computing Bootcamp(US Only): https://www.simplilearn.co

From playlist Microsoft Azure For Beginners 🔥[2022 Updated]

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ElixirDaze 2017- Solid Ground by Saša Juric

ElixirDaze 2017- Solid Ground by Saša Juric

From playlist ElixirDaze 2017

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Containers and Microservices: New Ways to Deploy and Manage Applications at Scale - Jake Moshenko

In this video from Software Architecture Conference 2016, Jake Moshenko talks about new ways to deploy and manage applications at scale. More details about the Software Architecture Conference 2016, as well as more free keynotes, can be found at http://oreil.ly/2aeoaRP Subscribe to O'Re

From playlist Microservices

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Top 80 Hadoop Interview Questions And Answers For 2020 | Hadoop Job Interview | Simplilearn

Hadoop is a framework that is majorly used in the field of big data to solve business problems. This video on Hadoop interview questions covers some of the essential questions related to Hadoop and its tools. You will learn about some of the important theoretical, practical, and logical qu

From playlist Big Data And Hadoop Spark Tutorial Videos [2022 Updated]

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Frédéric Vivien : Ordonnancement - 2ème partie : ordonnancement sur machines parallèles

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Aspects of Computer Science

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Operating system for beginners || Operating system basics

An operating system (OS) is system software that manages computer hardware, software resources, and provides common services for computer programs. Time-sharing #operating_systems schedule tasks for efficient use of the system and may also include accounting software for cost allocation o

From playlist Operating System

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Data Science with Mathematica -- Parallelism

In this video of the Data Science with Mathematica track I demonstrate several features of the parallelism framework of the Mathematica system. I start with basic theory on parallelism itself and then show it can be used very efficiently in the Mathematica system. The playlist for the Da

From playlist Data Science with Mathematica

Related pages

Single-machine scheduling | Knapsack problem | Longest-processing-time-first scheduling | Convex function | Multiway number partitioning | Optimal job scheduling | Multifit algorithm | Strong NP-completeness | Weighted arithmetic mean | Polynomial-time approximation scheme | List scheduling | Fernandez's method | Makespan | Optimization problem | Partition problem | Greedy number partitioning | Bin packing problem