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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. 10.0% 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%
1.8k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-13%
the tick is no change
Largest producer
India
28% of the 10 largest, 2022-now
Optimization and Mathematical Programming

Which countries lead Optimization and Mathematical Programming research?

By volume, India and China publish the most (634 and 468 works in 2022-now).

By volume, 2022-now

  1. 1 India 634 works
  2. 2 China 468 works
  3. 3 Indonesia 321 works
  4. 4 Türkiye 199 works
  5. 5 Iran 175 works
  6. 6 United States 171 works
  7. 7 Pakistan 120 works
  8. 8 Saudi Arabia 75 works
  9. 9 Brazil 72 works
  10. 10 Iraq 67 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: 27.5%China: 20.3%Indonesia: 14.0%Türkiye: 8.7%6 others listed: 29.5%28%largest
India634 · 27.5%China468 · 20.3%Indonesia321 · 14.0%Türkiye199 · 8.7%6 others listed680 · 29.5%

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

Which institutions lead Optimization and Mathematical Programming research?

By volume in 2022-now, Islamic Azad University, Tehran publishes the most Optimization and Mathematical Programming research, followed by Vellore Institute of Technology University and SRM Institute of Science and Technology.

By volume, 2022-now

  1. 1 Islamic Azad University, TehranIran 50 works
  2. 2 Vellore Institute of Technology UniversityIndia 31 works
  3. 3 SRM Institute of Science and TechnologyIndia 27 works
  4. 4 Vidyasagar UniversityIndia 23 works
  5. 5 University of the PunjabPakistan 18 works
  6. 6 Universitas Sumatera UtaraIndonesia 17 works
  7. 7 Thapar Institute of Engineering & TechnologyIndia 16 works
  8. 8 International Islamic University, IslamabadPakistan 14 works
  9. 9 Istanbul Technical UniversityTürkiye 13 works
  10. 10 Yıldız Technical UniversityTürkiye 13 works

Who are the leading researchers in Optimization and Mathematical Programming?

The most-cited researchers publishing on Optimization and Mathematical Programming include Qiang Zhang, Kalyanmoy Deb and Seyedali Mirjalili.

  1. 1 Qiang Zhang China 184k citations
  2. 2 Kalyanmoy Deb United States 171k citations
  3. 3 Seyedali Mirjalili Australia 154k citations
  4. 4 Stephen Boyd United States 142k citations
  5. 5 Francisco Herrera Spain 141k citations
  6. 6 Tasawar Hayat Pakistan 135k citations
  7. 7 Thomas L. Saaty United States 122k 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 Optimization and Mathematical Programming?

The most cited paper in Optimization and Mathematical Programming is "Measuring the efficiency of decision making units" (A. Charnes, William White Cooper, Edwardo L. Rhodes, 1978), with 29,033 citations. Next come "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis" (16,797) and "The Hungarian method for the assignment problem" (13,017).

Most cited papers
#PaperReleasedCitations
1 Measuring the efficiency of decision making units A. Charnes, William White Cooper, Edwardo L. Rhodes · European Journal of Operational Research Open access Nov 1978 29,033
2 Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis Rajiv D. Banker, A. Charnes, William White Cooper · Management Science Sep 1984 16,797
3 The Hungarian method for the assignment problem Harold William Kuhn · Naval Research Logistics Quarterly Mar 1955 13,017
4 Using multivariate statistics, 5th ed. Barbara Gerson Tabachnick, Linda S. Fidell 2007 10,142
5 On ordered weighted averaging aggregation operators in multicriteria decisionmaking Ronald R. Yager · IEEE Transactions on Systems Man and Cybernetics 1988 7,289
All 99 most cited papers, with filters and sorting

Where is Optimization and Mathematical Programming research done?

The largest centres of Optimization and Mathematical Programming research in 2022-now 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-now

  1. 1 IstanbulTürkiye 74 works
  2. 2 TehranIran 71 works
  3. 3 ChennaiIndia 54 works
  4. 4 BeijingChina 48 works
  5. 5 MedanIndonesia 42 works
  6. 6 BandungIndonesia 36 works
  7. 7 VelloreIndia 34 works
  8. 8 SurabayaIndonesia 31 works
  9. 9 LahorePakistan 30 works
  10. 10 New DelhiIndia 29 works

Where it is the local speciality

  1. MedinīpurIN · 24.6 works73×
← 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 National Taiwan University of Science and Technology 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%20%40%mean 23.56%fractional works in this field (log) →share of work in the world top 10% →University of the Pu…Riphah International…National Taiwan Univ…Vidyasagar University
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
1University of the PunjabPakistan 77.837.8%21.9×18 +13.8%
2Riphah International UniversityPakistan 71.434.8%32.0×13 +304.2%
3National Taiwan University of Science and TechnologyTaiwan 56.434.3%14.4×8 -2.1%
4Vidyasagar UniversityIndia 55.727.9%99.7×24 -30.4%
5International Islamic University, IslamabadPakistan 55.520.3%41.6×14 -0.3%
6Islamic Azad University, TehranIran 54.212.3%10.3×50 -50.1%
7University of BelgradeSerbia 53.129.5%5.3×10 +28.6%
8King Abdulaziz UniversitySaudi Arabia 52.518.6%7.5×12 +13.9%
9Vellore Institute of Technology UniversityIndia 48.53.9%11.0×31 +133.7%
10Thapar Institute of Engineering & TechnologyIndia 47.716.2%36.1×16 -54.8%

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 Optimization and Mathematical Programming, country by country

Is Optimization and Mathematical Programming research growing?

Output in 2022-2025 was 13% lower than in 2018-2021, peaking in 2021.

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 Optimization and Mathematical Programming as a percentage of every work published that year, 0.013% in 2024.

still counting0.010%0.020%0.030%Optimization and Mathematical Programming0.011% in 202519801990200020102020

Fractional works of Optimization and Mathematical Programming 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%Optimization and Mathematical Programming10.4% 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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