Minimum-Cost Flow Problem

de

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Minimum-Cost Flow Problem

Quality:

Minimum-cost flow problem - mathematical optimization problem. Article "Minimum-Cost Flow Problem" in German Wikipedia has 29.8 points for quality (as of July 1, 2025). The article contains 7 references and 9 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Minimum-Cost Flow Problem", its content was written by 10 registered users of German Wikipedia and edited by 136 registered Wikipedia users in all languages.

The article is cited 3 times in German Wikipedia and cited 189 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #18411 in September 2021
  • Global: #47318 in April 2004

The highest popularity rank from 2008:

  • Local (German): #239191 in December 2024
  • Global: #272509 in April 2015

There are 11 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Minimum-cost flow problem
30.4594
2German (de)
Minimum-Cost Flow Problem
29.7907
3Chinese (zh)
最小费用最大流问题
23.2782
4Japanese (ja)
最小費用流問題
23.0692
5French (fr)
Problème du flot de coût minimum
18.1859
6Italian (it)
Problema del flusso di costo minimo
17.4918
7Portuguese (pt)
Problema de Fluxo de Custo Mínimo
14.1212
8Serbian (sr)
Проблем протока са минималном ценом
13.8843
9Persian (fa)
مسئله کم‌هزینه‌ترین جریان
10.3484
10Russian (ru)
Поток минимальной стоимости
8.1892
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Minimum-Cost Flow Problem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Minimum-cost flow problem
668 614
2Chinese (zh)
最小费用最大流问题
48 653
3Russian (ru)
Поток минимальной стоимости
47 621
4German (de)
Minimum-Cost Flow Problem
28 274
5French (fr)
Problème du flot de coût minimum
23 185
6Hebrew (he)
בעיית זרימה
12 883
7Italian (it)
Problema del flusso di costo minimo
10 083
8Persian (fa)
مسئله کم‌هزینه‌ترین جریان
5 801
9Portuguese (pt)
Problema de Fluxo de Custo Mínimo
5 367
10Serbian (sr)
Проблем протока са минималном ценом
340
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Minimum-Cost Flow Problem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Minimum-cost flow problem
2 572
2Chinese (zh)
最小费用最大流问题
199
3Japanese (ja)
最小費用流問題
186
4German (de)
Minimum-Cost Flow Problem
130
5Russian (ru)
Поток минимальной стоимости
103
6French (fr)
Problème du flot de coût minimum
95
7Hebrew (he)
בעיית זרימה
40
8Italian (it)
Problema del flusso di costo minimo
30
9Portuguese (pt)
Problema de Fluxo de Custo Mínimo
30
10Persian (fa)
مسئله کم‌هزینه‌ترین جریان
15
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Minimum-Cost Flow Problem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Minimum-cost flow problem
49
2Hebrew (he)
בעיית זרימה
16
3Russian (ru)
Поток минимальной стоимости
14
4French (fr)
Problème du flot de coût minimum
11
5Chinese (zh)
最小费用最大流问题
11
6German (de)
Minimum-Cost Flow Problem
10
7Serbian (sr)
Проблем протока са минималном ценом
9
8Persian (fa)
مسئله کم‌هزینه‌ترین جریان
5
9Italian (it)
Problema del flusso di costo minimo
5
10Portuguese (pt)
Problema de Fluxo de Custo Mínimo
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Minimum-Cost Flow Problem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Japanese (ja)
最小費用流問題
3
2English (en)
Minimum-cost flow problem
2
3German (de)
Minimum-Cost Flow Problem
0
4Persian (fa)
مسئله کم‌هزینه‌ترین جریان
0
5French (fr)
Problème du flot de coût minimum
0
6Hebrew (he)
בעיית זרימה
0
7Italian (it)
Problema del flusso di costo minimo
0
8Portuguese (pt)
Problema de Fluxo de Custo Mínimo
0
9Russian (ru)
Поток минимальной стоимости
0
10Serbian (sr)
Проблем протока са минималном ценом
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Minimum-Cost Flow Problem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
最小費用流問題
113
2English (en)
Minimum-cost flow problem
29
3Persian (fa)
مسئله کم‌هزینه‌ترین جریان
10
4Russian (ru)
Поток минимальной стоимости
9
5French (fr)
Problème du flot de coût minimum
8
6Hebrew (he)
בעיית זרימה
7
7Italian (it)
Problema del flusso di costo minimo
5
8Chinese (zh)
最小费用最大流问题
4
9German (de)
Minimum-Cost Flow Problem
3
10Serbian (sr)
Проблем протока са минималном ценом
1
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Minimum-Cost Flow Problem
enEnglish
Minimum-cost flow problem
faPersian
مسئله کم‌هزینه‌ترین جریان
frFrench
Problème du flot de coût minimum
heHebrew
בעיית זרימה
itItalian
Problema del flusso di costo minimo
jaJapanese
最小費用流問題
ptPortuguese
Problema de Fluxo de Custo Mínimo
ruRussian
Поток минимальной стоимости
srSerbian
Проблем протока са минималном ценом
zhChinese
最小费用最大流问题

Popularity rank trends

Best Rank German:
#239191
12.2024
Global:
#272509
04.2015

AI rank trends

Best Rank German:
#18411
09.2021
Global:
#47318
04.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Minimum-cost flow problem from Wikipedia articles about Maximum flow problem, Network flow problem, Assignment problem, Earth movers distance and Flow network. Whereas reading the article about Minimum-cost flow problem people most often go to Wikipedia articles on Network simplex algorithm, Maximum flow problem, Circulation problem, Flow network and Assignment problem.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In German Wikipedia the most popular articles on that day were: Julia Klöckner, Perseiden, Jörg Pilawa, Martin Brambach, Japan-Air-Lines-Flug 123, Liste der größten Auslegerbrücken, Dawyd Tschytschkan, Kursk (U-Boot), Spotlight (Film), Drachenlord.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information