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Topic · Control and Systems Engineering

Optimization and Mathematical Programming

Optimization and Mathematical Programming is a research topic within Control and Systems Engineering. Science Explorer counts 18k research works in it since 1953. 24.7% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the optimization of multi-objective transportation problems, particularly in the context of supply chain management and aggregate production planning. It explores the application of fuzzy goal programming, genetic algorithms, and metaheuristic approaches to address challenges such as fixed charge transportation, sustainable development, and uncertainty in decision-making. The research also delves into techniques like linear fractional programming and intuitionistic fuzzy logic to enhance the efficiency and robustness of transportation problem solutions.

  • Fuzzy Goal Programming
  • Aggregate Production Planning
  • Multi-Objective Optimization
  • Fixed Charge Transportation Problem
  • Genetic Algorithm
  • Linear Fractional Programming
  • Intuitionistic Fuzzy
  • Supply Chain Management
  • Sustainable Development
  • Metaheuristic Algorithms
Research works
18k
fractional, since 1953
In the world top 10%
4.5k
per year above
Top-10% rate
24.7%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+36%
the tick is no change

Which countries lead Optimization and Mathematical Programming research?

By volume, India and China publish the most (591 and 436 works in 2022–2025).

By volume, 2022–2025

  1. 1 India 591 works
  2. 2 China 436 works
  3. 3 Indonesia 278 works
  4. 4 Türkiye 189 works
  5. 5 Iran 166 works
  6. 6 United States 163 works
  7. 7 Pakistan 117 works
  8. 8 Saudi Arabia 71 works
  9. 9 Brazil 66 works
  10. 10 Iraq 62 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.

India: 27.6%China: 20.4%Indonesia: 13.0%Türkiye: 8.9%6 others listed: 30.2%28%largest
India591 · 27.6%China436 · 20.4%Indonesia278 · 13.0%Türkiye189 · 8.9%6 others listed645 · 30.2%

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

Which institutions lead Optimization and Mathematical Programming research?

By volume in 2022–2025, Vellore Institute of Technology University publishes the most Optimization and Mathematical Programming research, followed by SRM Institute of Science and Technology and Vidyasagar University.

By volume, 2022–2025

  1. 1 Vellore Institute of Technology University India 31 works
  2. 2 SRM Institute of Science and Technology India 24 works
  3. 3 Vidyasagar University India 22 works
  4. 4 University of the Punjab Pakistan 18 works
  5. 5 Universitas Sumatera Utara Indonesia 16 works
  6. 6 Thapar Institute of Engineering & Technology India 16 works
  7. 7 Istanbul Technical University Türkiye 13 works
  8. 8 International Islamic University, Islamabad Pakistan 13 works
  9. 9 Yıldız Technical University Türkiye 13 works
  10. 10 Riphah International University Pakistan 12 works

Who are the leading researchers in Optimization and Mathematical Programming?

The most-cited researchers publishing on Optimization and Mathematical Programming include Kalyanmoy Deb, Witold Pedrycz and W. W. Cooper.

  1. 1 Kalyanmoy Deb 6.7k citations
  2. 2 Witold Pedrycz 5.4k citations
  3. 3 W. W. Cooper 4.6k citations
  4. 4 A. Charnes 4.5k citations
  5. 5 Ronald R. Yager 4.2k citations
  6. 6 Enrique Herrera‐Viedma 3.3k citations
  7. 7 Zeshui Xu 3.3k citations
  8. 8 Gwo‐Hshiung Tzeng 2.6k citations

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

Where is Optimization and Mathematical Programming research done?

The largest centres of Optimization and Mathematical Programming research in 2022–2025 are Istanbul (Türkiye), Tehran (Iran), Chennai (India) and Beijing (China). Among places with at least 20 works in it, it is an unusually large share of all research in Medinīpur.

Largest cities, 2022–2025

  1. 1 Istanbul Türkiye 71 works
  2. 2 Tehran Iran 68 works
  3. 3 Chennai India 50 works
  4. 4 Beijing China 46 works
  5. 5 Medan Indonesia 38 works
  6. 6 Vellore India 34 works
  7. 7 Bandung Indonesia 31 works
  8. 8 Lahore Pakistan 30 works
  9. 9 New Delhi India 28 works
  10. 10 Shanghai China 27 works

Where it is the local speciality

  1. MedinīpurIN · 23.7 works76×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Optimization and Mathematical Programming than the world average.

See Optimization and Mathematical Programming on the map

Where is the best place to study Optimization and Mathematical Programming?

Among universities, judged by research, University of the Punjab, Riphah International University and Vidyasagar University 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%25%50%75%mean 36.73%fractional works in this node (log) →share in the world top 10% →University of the Punjab: 18, 59.4%Riphah International University: 12, 61.1%Vidyasagar University: 22, 42.9%Vellore Institute of Technology University: 31, 10.7%International Islamic University, Islamabad: 13, 44.3%Istanbul Technical University: 13, 38.8%King Abdulaziz University: 12, 30.4%Thapar Institute of Engineering & Technology: 16, 29.7%Qassim University: 8, 31.4%Yıldız Technical University: 13, 18.6%Riphah International…University of the Pu…Vidyasagar UniversityVellore Institute of…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1University of the Punjab Pakistan 78.659.4%20.5×18 —
2Riphah International University Pakistan 74.561.1%28.8×12 —
3Vidyasagar University India 71.242.9%88.3×22 +94.4%
4Vellore Institute of Technology University India 67.310.7%10.3×31 +194.8%
5International Islamic University, Islamabad Pakistan 66.744.3%37.7×13 —
6Istanbul Technical University Türkiye 63.638.8%12.3×13 +85.7%
7King Abdulaziz University Saudi Arabia 60.630.4%7.0×12 +273.8%
8Thapar Institute of Engineering & Technology India 59.229.7%33.3×16 +66.0%
9Qassim University Saudi Arabia 57.331.4%10.7×8 —
10Yıldız Technical University Türkiye 54.818.6%16.1×13 +139.5%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Optimization and Mathematical Programming research growing?

Output in 2018–2022 was 36% higher than in 2013–2017, peaking in 2021. The fastest-growing topics are Optimization and Mathematical Programming.

19801990200020102020
grewheldshrank

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

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.