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knapsack problem

problem in combinatorial optimization
Thing optimization_problem Q864457
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knapsack problem

Summary

knapsack problem is an optimization problem[1]. It draws 498 Wikipedia views per month (optimization_problem category, ranking #2 of 7).[2]

Key Facts

  • knapsack problem's instance of is recorded as optimization problem[3].
  • backpack is named after knapsack problem[4].
  • knapsack problem is part of Karp's 21 NP-complete problems[5].
  • knapsack problem's Stack Exchange tag is recorded as https://stackoverflow.com/tags/knapsack-problem[6].
  • knapsack problem's different from is recorded as packing problem[7].
  • knapsack problem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • knapsack problem's computational complexity is recorded as NP-complete[9].
  • knapsack problem's computational complexity is recorded as NP-hard[10].

Body

Definition and Type

knapsack problem's instance of is recorded as optimization problem[3].

Origins

backpack is named after knapsack problem[4].

Use and Application

knapsack problem is part of Karp's 21 NP-complete problems[5].

Why It Matters

knapsack problem draws 498 Wikipedia views per month (optimization_problem category, ranking #2 of 7).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[11] It is known by 51 alternative names across languages and contexts.[12]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.
  3. [12] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). knapsack problem. Retrieved October 2, 2026, from https://4ort.xyz/entity/knapsack-problem
MLA “knapsack problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Oct. 2026, https://4ort.xyz/entity/knapsack-problem.
BibTeX @misc{4ortxyz_knapsack-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{knapsack problem}}, year = {2026}, url = {https://4ort.xyz/entity/knapsack-problem}, note = {Accessed: 2026-10-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): knapsack problem — https://4ort.xyz/entity/knapsack-problem (retrieved 2026-10-02)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 25d ago · VGMaintenanceBot bot · 2026-09-08 view diff on Wikidata ↗
    Instance of → optimization problem
    Maintained by wikiproject → WikiProject Mathematics
    Different from → packing problem
    Instance of → —
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-add:1| */ [[Property:P9675]]: 3790, Add qualifier to Rosetta Code page ID `Knapsack_problem`"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.