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Topic · Discrete Mathematics and Combinatorics

Modeling, Simulation, and Optimization

Modeling, Simulation, and Optimization is a research topic within Discrete Mathematics and Combinatorics. Science Explorer counts 6.2k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the application of fuzzy fractal dimensions and modeling techniques in granular data, particularly in the context of fuzzy clustering, probabilistic topic models, information granularity, ontology-based simulations, agent-based modeling, and simulation optimization hybrids. The papers explore the use of evolutionary algorithms and control frameworks to address complex problems in various domains.

  • Fuzzy Fractal Dimensions
  • Granular Data
  • Fuzzy Clustering
  • Probabilistic Topic Models
  • Information Granularity
  • Ontology-Based Simulations
  • Agent-Based Modeling
  • Simulation Optimization Hybrids
  • Evolutionary Algorithms
  • Control Framework
Research works
6.2k
fractional, since 1950
In the world top 10%
632
per year above
Top-10% rate
10.1%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+14%
the tick is no change
Largest producer
Russia
22% of the 10 largest, 2022-now
Modeling, Simulation, and Optimization

Which countries lead Modeling, Simulation, and Optimization research?

By volume, Russia and China publish the most (130 and 114 works in 2022-now).

By volume, 2022-now

  1. 1 Russia 130 works
  2. 2 China 114 works
  3. 3 United States 90 works
  4. 4 India 52 works
  5. 5 Germany 46 works
  6. 6 Ukraine 42 works
  7. 7 Indonesia 37 works
  8. 8 Poland 26 works
  9. 9 United Kingdom 24 works
  10. 10 Italy 23 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

Russia: 22.3%China: 19.6%United States: 15.4%India: 8.9%6 others listed: 33.9%22%largest
Russia130 · 22.3%China114 · 19.6%United States90 · 15.4%India52 · 8.9%6 others listed198 · 33.9%

Shares of the rows listed above, not of the whole node.

Which institutions lead Modeling, Simulation, and Optimization research?

By volume in 2022-now, Russian Academy of Sciences publishes the most Modeling, Simulation, and Optimization research, followed by Helmholtz Association of German Research Centres and Xi'an Jiaotong University.

By volume, 2022-now

  1. 1 Russian Academy of SciencesRussia 18 works
  2. 2 Helmholtz Association of German Research CentresGermany 6 works
  3. 3 Xi'an Jiaotong UniversityChina 6 works
  4. 4 Voronezh State University of Forestry and TechnologiesRussia 6 works
  5. 5 Centre National de la Recherche ScientifiqueFrance 5 works
  6. 6 Bauman Moscow State Technical UniversityRussia 4 works
  7. 7 National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”Ukraine 3 works
  8. 8 Moscow Aviation InstituteRussia 3 works
  9. 9 Fraunhofer-GesellschaftGermany 3 works
  10. 10 St Petersburg UniversityRussia 3 works

Who are the leading researchers in Modeling, Simulation, and Optimization?

The most-cited researchers publishing on Modeling, Simulation, and Optimization include M. Hashem Pesaran.

  1. 1 M. Hashem Pesaran United States 150k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Modeling, Simulation, and Optimization?

The most cited paper in Modeling, Simulation, and Optimization is "The Gaia Methodology for Agent-Oriented Analysis and Design" (Michael Wooldridge, Nicholas R. Jennings, David Kinny, 2000), with 1,893 citations. Next come "RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS" (1,404) and "A Single Formula for the “Law of the Wall”" (1,169).

Most cited papers
#PaperReleasedCitations
1 The Gaia Methodology for Agent-Oriented Analysis and Design Michael Wooldridge, Nicholas R. Jennings, David Kinny · Autonomous Agents and Multi-Agent Systems Open access Sep 2000 1,893
2 RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS RALPH ALLAN BRADLEY, Milton E. Terry · Biometrika 1952 1,404
3 A Single Formula for the “Law of the Wall” D. BRIAN SPALDING · Journal of Applied Mechanics Sep 1961 1,169
4 A COORDINATE SYSTEM HAVING SOME SPECIAL ADVANTAGES FOR NUMERICAL FORECASTING Norman A. Phillips · Journal of Meteorology Open access Apr 1957 811
5 Probabilistic Load Flow Barbara Borkowska · IEEE Transactions on Power Apparatus and Systems May 1974 794
All 100 most cited papers, with filters and sorting

Where is Modeling, Simulation, and Optimization research done?

The largest centres of Modeling, Simulation, and Optimization research in 2022-now are Moscow (Russia), Beijing (China), Saint Petersburg (Russia) and Kyiv (Ukraine). Among places with at least 20 works in it, it is an unusually large share of all research in Moscow.

Largest cities, 2022-now

  1. 1 MoscowRussia 40 works
  2. 2 BeijingChina 23 works
  3. 3 Saint PetersburgRussia 15 works
  4. 4 KyivUkraine 13 works
  5. 5 TokyoJapan 10 works
  6. 6 BucharestRomania 9 works
  7. 7 Xi'anChina 9 works
  8. 8 WuhanChina 8 works
  9. 9 VoronezhRussia 8 works
  10. 10 ShanghaiChina 6 works

Where it is the local speciality

  1. MoscowRU · 40.5 works4.4×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Modeling, Simulation, and Optimization than the world average.

See Modeling, Simulation, and Optimization on the map

Is Modeling, Simulation, and Optimization research growing?

Output in 2022-2025 was 14% higher than in 2018-2021, peaking in 2024. The fastest-growing topics are Modeling, Simulation, and Optimization.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Modeling, Simulation, and Optimization as a percentage of every work published that year, 0.0050% in 2024.

still counting0.0050%0.010%0.015%Modeling, Simulation, and Optimization0.0044% in 202519801990200020102020

Fractional works of Modeling, Simulation, and Optimization over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Modeling, Simulation, and Optimization10.9% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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