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Longest-processing-time-first scheduling: Adaptations to other settings, Performance guarantees: identical machines & Properties

Longest-processing-time-first (LPT) is a greedy algorithm for job scheduling. The input to the algorithm is a set of jobs, each of which has a specific processing-time. There is also a number m specifying the number of machines that can process the jobs. The LPT algorithm works as follows:

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Longest-processing-time-first scheduling topic overview

The analysis highlights Adaptations to other settings, Performance guarantees: identical machines and Properties as prominent areas in the source structure around Longest-processing-time-first scheduling.

Related topics
20
Source areas
4
Connected nodes
24
Related term clusters
7
Bridge connections
24

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 9 topics
Adaptations to other settings · 5 topics
Performance guarantees: identical machines · 4 topics
Properties · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Properties

Performance guarantees: identical machines

Adaptations to other settings

For the semantics nerds

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Advanced semantic analysis

How Longest-processing-time-first scheduling connects Entity context

See recurring relationship patterns around Longest-processing-time-first scheduling before inspecting the individual extracted relationships.

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

sum pi least greedy lpt items inputs input displaystyle bin algorithm small ratio contains two weight si partition optimal one

Longest-processing-time-first scheduling relationships Subject–Predicate–Object triples

TTTA extracted structured relationships around Longest-processing-time-first scheduling. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc

Related concept clusters Related term clusters

The concept neighborhoods around Longest-processing-time-first scheduling bring nearby vocabulary together. In this analysis, examples include Bin, Pi and Sum. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • lpt algorithm
    • Ratio
    • Largest
    • Approximation
    • Greedy
    • Machines
    • Displaystyle
    • Least
    • Items
    • Pi
    • Number
    • Smallest
    • Sum
  • greedy algorithm
    • Bin
    • Pi
    • Sum
    • Input
    • Algorithm
    • Greedy
    • Partition
    • Least
    • Items
    • Item
    • One
    • Optimal
  • multifit algorithm
    • Greedy
    • Least
    • Items
    • Pi
    • Lpt
    • Small
    • Input
    • Bin
    • Jobs
    • Sum
    • Number
    • Contains
  • machines with different speeds
    • Machine
    • Displaystyle
    • Ratio
    • Lpt
    • Approximation
    • Number
    • Jobs
    • One
    • Two
    • Inputs
    • Frac
    • Proof
  • balanced partition problem
    • Optimal
    • Displaystyle
    • Least
    • Frac
    • Number
    • Sum
    • Total
    • Proof
    • Smallest
    • Qj
    • Since
    • Large
  • performance guarantees: identical machines
    • Machine
    • Displaystyle
    • Ratio
    • Lpt
    • Approximation
    • Number
    • Jobs
    • One
    • Two
    • Inputs
    • Frac
    • Proof
  • multiway number partitioning
    • Therefore
    • Items
    • Least
    • One
    • Partition
    • Proof
    • Qj
    • Optimal
    • Contains
    • Bin
    • Sum
    • Pi

Connections between topic areas Semantic bridges

For Longest-processing-time-first scheduling, one of the stronger structural bridges in this analysis connects Longest-processing-time-first scheduling with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Longest-processing-time-first scheduling — Overview · splits 15 ⟂ 10
Longest-processing-time-first scheduling — Adaptations to other settings · splits 19 ⟂ 6
Longest-processing-time-first scheduling — Performance guarantees: identical machines · splits 20 ⟂ 5
Longest-processing-time-first scheduling — Properties · splits 22 ⟂ 3

Map overview Semantic statistics

Longest-processing-time-first scheduling

Nodes25
Edges24
Triples0
Avg. degree1.92
Density0.08
Components1

Source & methodology

TTTA analyzes the structure around Longest-processing-time-first scheduling to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Adaptations to other settings, Performance guarantees: identical machines & Properties, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Longest-processing-time-first scheduling · EN edition · Analysis: TopicsToTalkAbout

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