D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 4,300 110 World Ranking 2188 National Ranking 28
Engineering and Technology D-index 31 Citations 4,658 115 World Ranking 5949 National Ranking 110

Overview

What is he best known for?

The fields of study he is best known for:

  • Statistics
  • Mathematical optimization
  • Algebra

His primary areas of investigation include Mathematical optimization, Robust optimization, Linear programming, Interior point method and Minimax. By researching both Mathematical optimization and Field, he produces research that crosses academic boundaries. His Robust optimization research incorporates themes from Uncertain data, Engineering optimization, Probabilistic-based design optimization and Parameterized complexity.

His Linear programming study incorporates themes from Computational complexity theory, Discrete mathematics and Affine transformation. Simplex algorithm, Algebraic interior, Theory of computation and Degeneracy is closely connected to Linear-fractional programming in his research, which is encompassed under the umbrella topic of Interior point method. Dick den Hertog has included themes like Latin hypercube sampling and Computer experiment in his Minimax study.

His most cited work include:

  • Robust Solutions of Optimization Problems Affected by Uncertain Probabilities (308 citations)
  • Order of Nonlinearity as a Complexity Measure for Models Generated by Symbolic Regression via Pareto Genetic Programming (244 citations)
  • A practical guide to robust optimization (205 citations)

What are the main themes of his work throughout his whole career to date?

Dick den Hertog mainly focuses on Mathematical optimization, Robust optimization, Applied mathematics, Optimization problem and Algorithm. His Linear programming study in the realm of Mathematical optimization connects with subjects such as Convex optimization. His Linear programming research is multidisciplinary, relying on both Computational complexity theory and Interior point method.

The Robust optimization study combines topics in areas such as Conic section, Random variable, Affine transformation, Nonlinear system and Value. He works mostly in the field of Applied mathematics, limiting it down to topics relating to Function and, in certain cases, Nonlinear programming, as a part of the same area of interest. His biological study deals with issues like Computer experiment, which deal with fields such as Kriging.

He most often published in these fields:

  • Mathematical optimization (47.01%)
  • Robust optimization (33.96%)
  • Applied mathematics (17.54%)

What were the highlights of his more recent work (between 2015-2021)?

  • Robust optimization (33.96%)
  • Mathematical optimization (47.01%)
  • Decision rule (7.46%)

In recent papers he was focusing on the following fields of study:

Dick den Hertog spends much of his time researching Robust optimization, Mathematical optimization, Decision rule, Applied mathematics and Operations research. His research in Robust optimization intersects with topics in Probability distribution, Quadratic equation, Semidefinite programming and Random variable. His study on Linear programming is often connected to As is as part of broader study in Mathematical optimization.

His research integrates issues of Computational complexity theory and Bilinear interpolation in his study of Linear programming. The concepts of his Decision rule study are interwoven with issues in Production and Affine transformation. The Applied mathematics study which covers Solution set that intersects with Mathematical analysis.

Between 2015 and 2021, his most popular works were:

  • A survey of adjustable robust optimization (69 citations)
  • Multistage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty Set (51 citations)
  • Adjustable robust optimization via Fourier-Motzkin elimination (33 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical optimization
  • Statistics
  • Mathematical analysis

Dick den Hertog focuses on Robust optimization, Mathematical optimization, Decision rule, Constraint and Conic section. His study explores the link between Robust optimization and topics such as Probabilistic-based design optimization that cross with problems in Continuous optimization. His work on Optimization problem as part of general Mathematical optimization research is frequently linked to Ambiguity, bridging the gap between disciplines.

His Optimization problem research incorporates elements of Pareto principle, Moment and Adaptation. His work carried out in the field of Decision rule brings together such families of science as Linear programming, Computational complexity theory, Heuristics and Affine transformation. The study incorporates disciplines such as Norm, Upper and lower bounds, Quadratic equation and Applied mathematics in addition to Conic section.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Robust Solutions of Optimization Problems Affected by Uncertain Probabilities

Aharon Ben-Tal;Dick den Hertog;Anja De Waegenaere;Bertrand Melenberg.
Management Science (2013)

516 Citations

A practical guide to robust optimization

Bram L. Gorissen;İhsan Yanıkoğlu;İhsan Yanıkoğlu;Dick den Hertog.
Omega-international Journal of Management Science (2015)

384 Citations

Order of Nonlinearity as a Complexity Measure for Models Generated by Symbolic Regression via Pareto Genetic Programming

E.J. Vladislavleva;G.F. Smits;D. den Hertog.
IEEE Transactions on Evolutionary Computation (2009)

307 Citations

Interior Point Approach to Linear, Quadratic and Convex Programming: Algorithms and Complexity

D. Den Hertog.
(1994)

262 Citations

Space-filling Latin hypercube designs for computer experiments

Bart G. M. Husslage;Gijs Rennen;Edwin R. van Dam;Dick den Hertog.
Optimization and Engineering (2011)

197 Citations

Deriving robust counterparts of nonlinear uncertain inequalities

Aharon Ben-Tal;Dick Hertog;Jean-Philippe Vial.
Mathematical Programming (2015)

194 Citations

Maximin Latin Hypercube Designs in Two Dimensions

Edwin R. van Dam;Bart Husslage;Dick den Hertog;Hans Melissen.
Operations Research (2007)

191 Citations

The correct Kriging variance estimated by bootstrapping

Dick den Hertog;Jack P. C. Kleijnen;Alex Y. D. Siem.
Journal of the Operational Research Society (2006)

144 Citations

Creation and evaluation of compact models for thermal characterisation using dedicated optimisation software

C.J.M. Lasance;D. Den Hertog;P. Stehouwer.
semiconductor thermal measurement and management symposium (1999)

116 Citations

Multistage Adjustable Robust Mixed-Integer Optimization via Iterative Splitting of the Uncertainty Set

Krzysztof Postek;Dick den Hertog.
Informs Journal on Computing (2016)

108 Citations

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Best Scientists Citing Dick den Hertog

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