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Topic · Computational Theory and Mathematics

Petri Nets in System Modeling

Petri Nets in System Modeling is a research topic within Computational Theory and Mathematics. Science Explorer counts 18k research works in it since 1951. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the modeling, analysis, and control of Petri nets in various systems, with an emphasis on deadlock prevention, supervisory control, fault diagnosis, and diagnosability analysis in the context of discrete-event systems and flexible manufacturing systems. It also covers topics such as formal methods, stochastic Petri nets, and concurrency modeling.

  • Petri Nets
  • Deadlock Prevention
  • Supervisory Control
  • Discrete-Event Systems
  • Fault Diagnosis
  • Flexible Manufacturing Systems
  • Diagnosability Analysis
  • Concurrency Modeling
  • Formal Methods
  • Stochastic Petri Nets
Research works
18k
fractional, since 1951
In the world top 10%
1.8k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-21%
the tick is no change
Largest producer
China
38% of the 10 largest, 2022-now
Petri Nets in System Modeling

Which countries lead Petri Nets in System Modeling research?

By volume, China and Germany publish the most (385 and 115 works in 2022-now).

By volume, 2022-now

  1. 1 China 385 works
  2. 2 Germany 115 works
  3. 3 France 115 works
  4. 4 United States 112 works
  5. 5 Italy 80 works
  6. 6 India 54 works
  7. 7 Brazil 53 works
  8. 8 United Kingdom 38 works
  9. 9 Japan 36 works
  10. 10 Netherlands 33 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.

China: 37.7%Germany: 11.3%France: 11.2%United States: 11.0%6 others listed: 28.8%38%largest
China385 · 37.7%Germany115 · 11.3%France115 · 11.2%United States112 · 11.0%6 others listed295 · 28.8%

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

Which institutions lead Petri Nets in System Modeling research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Petri Nets in System Modeling research, followed by Xidian University and Macau University of Science and Technology.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 38 works
  2. 2 Xidian UniversityChina 29 works
  3. 3 Macau University of Science and TechnologyChina 24 works
  4. 4 Tongji UniversityChina 14 works
  5. 5 RWTH Aachen UniversityGermany 13 works
  6. 6 Eindhoven University of TechnologyNetherlands 12 works
  7. 7 Universidade Federal do Rio de JaneiroBrazil 12 works
  8. 8 Shanghai Jiao Tong UniversityChina 12 works
  9. 9 University of Zielona GóraPoland 10 works
  10. 10 Université Le Havre NormandieFrance 9 works

Who are the leading researchers in Petri Nets in System Modeling?

The most-cited researchers publishing on Petri Nets in System Modeling include Philip S. Yu.

  1. 1 Philip S. Yu United States 141k 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 Petri Nets in System Modeling?

The most cited paper in Petri Nets in System Modeling is "Petri nets: Properties, analysis and applications" (Tadao Murata, 1989), with 10,641 citations. Next come "Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks" (4,727) and "Stability of networked control systems" (3,464).

Most cited papers
#PaperReleasedCitations
1 Petri nets: Properties, analysis and applications Tadao Murata · Proceedings of the IEEE Apr 1989 10,641
2 Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks Paulo Tabuada · IEEE Transactions on Automatic Control Sep 2007 4,727
3 Stability of networked control systems Wei Zhang, Michael S. Branicky, S.M. Phillips · IEEE Control Systems Feb 2001 3,464
4 Supervisory Control of a Class of Discrete Event Processes Peter J. Ramadge, Walter Murray Wonham · SIAM Journal on Control and Optimization 1987 3,372
5 Time-delay systems: an overview of some recent advances and open problems Jean‐Pierre Richard · Automatica 3 Sep 2003 3,346
All 100 most cited papers, with filters and sorting

Where is Petri Nets in System Modeling research done?

The largest centres of Petri Nets in System Modeling research in 2022-now are Xi'an (China), Shanghai (China), Beijing (China) and Macao (China). Among places with at least 20 works in it, it is an unusually large share of all research in Macao.

Largest cities, 2022-now

  1. 1 Xi'anChina 48 works
  2. 2 ShanghaiChina 46 works
  3. 3 BeijingChina 44 works
  4. 4 MacaoChina 25 works
  5. 5 ParisFrance 24 works
  6. 6 NanjingChina 17 works
  7. 7 Rio de JaneiroBrazil 15 works
  8. 8 GuangzhouChina 14 works
  9. 9 AachenGermany 14 works
  10. 10 EindhovenNetherlands 13 works

Where it is the local speciality

  1. MacaoCN · 25.3 works22×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Petri Nets in System Modeling than the world average.

See Petri Nets in System Modeling on the map

Where is the best place to study Petri Nets in System Modeling?

Among universities, judged by research, Macau University of Science and Technology, Xidian University and Universidade Federal do Rio de Janeiro score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%10%20%30%mean 15.4444%fractional works in this field (log) →share of work in the world top 10% →Macau University of …Xidian UniversityRWTH Aachen UniversityUniversidade Federal…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Macau University of Science and TechnologyChina 96.025.2%92.3×24 +75.3%
2Xidian UniversityChina 75.721.3%31.9×29 +24.0%
3Universidade Federal do Rio de JaneiroBrazil 55.816.4%12.8×12 +16.0%
4RWTH Aachen UniversityGermany 47.217.1%13.8×13 +16.5%
5Université Le Havre NormandieFrance 36.222.8%181.7×9 -2.8%
6Tongji UniversityChina 35.86.9%7.2×14 +11.4%
7Eindhoven University of TechnologyNetherlands 34.45.9%27.9×12 -45.1%
8Shanghai Jiao Tong UniversityChina 27.516.5%3.4×12 -3.5%
9University of Zielona GóraPoland 25.56.9%103.8×10 +40.2%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Petri Nets in System Modeling, country by country

Is Petri Nets in System Modeling research growing?

Output in 2022-2025 was 21% lower than in 2018-2021, peaking in 2002.

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 Petri Nets in System Modeling as a percentage of every work published that year, 0.0066% in 2024.

still counting0.050%0.10%Petri Nets in System Modeling0.0054% in 202519801990200020102020

Fractional works of Petri Nets in System Modeling 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%Petri Nets in System Modeling10.1% 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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