Photo of Dick Hertog, den
  • Warandelaan 2, Prisma Building, room P 2.224

    5037 AB Tilburg

    Netherlands

1989 …2019
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Research Output 1989 2019

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Article
2019

Optimal combined proton-photon therapy schemes based on the standard BED model

ten Eikelder, S. C. M., den Hertog, D., Bortfeld, T. & Perko, Z., Mar 2019, In : Physics in Medicine and Biology. 64, 6, 21 p., 065011.

Research output: Contribution to journalArticleScientificpeer-review

Reducing conservatism in robust optimization

Roos, E. & den Hertog, D., Jun 2019, (Accepted/In press) In : INFORMS Journal on Computing.

Research output: Contribution to journalArticleScientificpeer-review

Uncertainty
Conservatism
Robust optimization
Violations
Safeguards

Robust optimization of dose-volume metrics for prostate HDR-brachytherapy incorporating target- and OAR volume delineation uncertainties

Balvert, M., den Hertog, D. & Hoffmann, A. L., Feb 2019, In : INFORMS Journal on Computing. 31, 1, p. 100-114

Research output: Contribution to journalArticleScientificpeer-review

Open Access
Radiotherapy
Planning
Tumors
Uncertainty
Robust optimization
2018

Adjustable robust optimization via Fourier-Motzkin elimination

Zhen, J., den Hertog, D. & Sim, M., Jul 2018, In : Operations Research. 66, 4, p. 1086-1100

Research output: Contribution to journalArticleScientificpeer-review

Linear programming
Robust optimization
Optimization problem
Lenses
Decision rules

Computing the maximum volume inscribed ellipsoid of a polytopic projection

Zhen, J. & den Hertog, D., Jan 2018, In : INFORMS Journal on Computing. 30, 1, p. 31-42

Research output: Contribution to journalArticleScientificpeer-review

Color
Approximation
Optimization techniques
Optimal solution
Robust optimization

Robust optimization with ambiguous stochastic constraints under mean and dispersion information

Postek, K., Ben-Tal, A., den Hertog, D. & Melenberg, B., May 2018, In : Operations Research. 66, 3, p. 814-833

Research output: Contribution to journalArticleScientificpeer-review

Random variables
Computational complexity
Robust optimization
Upper bound

When are static and adjustable robust optimization with constraint-wise uncertainty equivalent?

Marandi, A. & den Hertog, D., Aug 2018, In : Mathematical Programming . 170, 2, p. 555-568

Research output: Contribution to journalArticleScientificpeer-review

Open Access
Robust Optimization
Uncertainty
Uncertain Parameters
Decision Rules
Optimization Problem
2017

Adjustable robust optimisation approach to optimise discounts for multi-period supply chain coordination under demand uncertainty

Buhayenko, V. & den Hertog, D., Jul 2017, In : International Journal of Production Research. 55, 22, p. 6801-6823

Research output: Contribution to journalArticleScientificpeer-review

Supply chains
Uncertainty
Demand uncertainty
Robust optimization
Supply chain coordination
45 Downloads (Pure)

Centered solutions for uncertain linear equations

Zhen, J. & den Hertog, D., Oct 2017, In : Computational Management Science. 14, 4, p. 585-610

Research output: Contribution to journalArticleScientificpeer-review

Open Access
File
Linear equations
Uncertainty
Robust optimization
42 Downloads (Pure)

EP-1696: Dose-painting planning with uncertainties in dose-response parameters and in patient positioning

Balvert, M., Breedveld, S., Unkelbach, J., den Hertog, D. & Petit, S., May 2017, In : Radiotherapy and Oncology. 123, S1, p. S927-S928 2 p.

Research output: Contribution to journalArticleScientificpeer-review

Open Access
File

Globalized robust optimization for nonlinear uncertain inequalities

Ben-Tal, A., Brekelmans, R., den Hertog, D. & Vial, J. P., Apr 2017, In : INFORMS Journal on Computing. 29, 2, p. 350-366

Research output: Contribution to journalArticleScientificpeer-review

Uncertainty
Robust optimization
Violations
Distance measure
Trade-offs

Optimal strategies for flood prevention

Eijgenraam, C., Brekelmans, R., den Hertog, D. & Roos, C., May 2017, In : Management Science. 63, 5, p. 1644-1656

Research output: Contribution to journalArticleScientificpeer-review

Optimal strategy
The Netherlands
Economics
Climate
Optimal solution
416 Downloads (Pure)

Robust optimization of uncertain multistage inventory systems with inexact data in decision rules

de Ruiter, F., Ben-Tal, A., Brekelmans, R. & den Hertog, D., Jan 2017, In : Computational Management Science. 14, 1, p. 45-66

Research output: Contribution to journalArticleScientificpeer-review

Open Access
File
Information management
Robust optimization
Decision rules
Inventory systems
Planning

Robust shift generation in workforce planning

van Hulst, D., den Hertog, D. & Nuijten, W., Jan 2017, In : Computational Management Science. 14, 1, p. 115–134

Research output: Contribution to journalArticleScientificpeer-review

Planning
Controllers
Air
Uncertainty
Workforce planning
2016

Computationally tractable counterparts of distributionally robust constraints on risk measures

Postek, K., den Hertog, D. & Melenberg, B., 3 Nov 2016, In : SIAM Review. 58, 4, p. 603-650 48 p.

Research output: Contribution to journalArticleScientificpeer-review

Risk Measures
Probability distributions
Probability Distribution
Uncertainty
Probability Metrics

Multi-stage adjustable robust mixed-integer optimization via iterative splitting of the uncertainty set

Postek, K. & den Hertog, D., Jul 2016, In : INFORMS Journal on Computing. 28, 3, p. 553-574

Research output: Contribution to journalArticleScientificpeer-review

Budget control
Computational complexity
Uncertainty
Integer
Decision rules

Robust dual-response optimization

Yanikoglu, I., den Hertog, D. & Kleijnen, J. P. C., 2016, In : IIE Transactions: Industrial Engineering Research and Development. 48, 3, p. 298-312

Research output: Contribution to journalArticleScientificpeer-review

Probability distributions
Experiments
161 Downloads (Pure)

The impact of the existence of multiple adjustable robust solutions

de Ruiter, F., Brekelmans, R. & den Hertog, D., 11 Oct 2016, In : Mathematical Programming . 160, 1-2, p. 531-545

Research output: Contribution to journalArticleScientificpeer-review

Open Access
File
Robust Optimization
Multiple Solutions
Decision Rules
Folding
Horizon
2015

A framework for inverse planning of beam-on times for 3D small animal radiotherapy using interactive multi-objective optimization

Balvert, M., van Hoof, S. J., Granton, P. V., Trani, D., den Hertog, D., Hoffmann, A. L. & Verhaegen, F., 21 Jul 2015, In : Physics in Medicine and Biology. 60, 14, p. 5681-5698

Research output: Contribution to journalArticleScientificpeer-review

Weights and Measures
Neoplasms

A practical guide to robust optimization

Gorissen, B., Yanikoglu, I. & den Hertog, D., Jun 2015, In : Omega: The international journal of management science. 53, p. 124-137 14 p.

Research output: Contribution to journalArticleScientificpeer-review

Robust optimization
Field research

Deriving robust counterparts of nonlinear uncertain inequalities

Ben-Tal, A., den Hertog, D. & Vial, J. P., Feb 2015, In : Mathematical Programming. 149, 1-2, p. 265-299

Research output: Contribution to journalArticleScientificpeer-review

Support Function
Uncertain Parameters
Fenchel Duality
Uncertainty
Conjugate functions

Dwell time modulation restrictions do not necessarily improve treatment plan quality for prostate HDR brachytherapy

Balvert, M., Gorissen, B. L., den Hertog, D. & Hoffmann, A. L., Jan 2015, In : Physics in Medicine and Biology. 60, 2, p. 537-548

Research output: Contribution to journalArticleScientificpeer-review

Catheters
2014

A mixed integer nonlinear optimization approach to optimize dike heights in the Netherlands

Brekelmans, R., Eijgenraam, C., den Hertog, D. & Roos, C., Apr 2014, In : Optima: Mathematical Optimization Society Newsletter. 94, 6 p.

Research output: Contribution to journalArticleScientificpeer-review

Levees
Decision making
Costs
Nonlinear programming
Water levels

Deriving robust and globalized robust solutions of uncertain linear programs having general convex uncertainty sets

Gorissen, B. L., Blanc, J. P. C., den Hertog, D. & Ben-Tal, A., May 2014, In : Operations Research. 62, 3, p. 672-679

Research output: Contribution to journalArticleScientificpeer-review

Uncertainty
Linear program
Newsvendor problem
Optimal solution
Duality

Economically efficient standards to protect the Netherlands against flooding

Eijgenraam, C., Kind, J., Bak, C., Brekelmans, R. C. M., den Hertog, D., Duits, M., Roos, C., Vermeer, P. J. & Kuijken, W., 2014, In : Interfaces. 44, 1, p. 7-21

Research output: Contribution to journalArticleScientificpeer-review

Levees
Operations research
Cost benefit analysis
Nonlinear programming
Decision making

Hidden conic quadratic representation of some nonconvex quadratic optimization problems

Ben-Tal, A. & den Hertog, D., Feb 2014, In : Mathematical Programming. 143, 1-2, p. 1-29

Research output: Contribution to journalArticleScientificpeer-review

Quadratic Optimization
Nonconvex Optimization
Optimization Problem
Quadratic Constraint
Quadratic form
2013

An impulse control approach to dike height optimization

Chahim, M., Brekelmans, R. C. M., den Hertog, D. & Kort, P. M., 2013, In : Optimization Methods and Software. 28, 3, p. 458-477

Research output: Contribution to journalArticleScientificpeer-review

Impulse Control
Levees
Maximum principle
Optimization
Maximum Principle

Mixed integer programming improves comprehensibility and plan quality in inverse optimization of prostate HDR Brachytherapy

Gorissen, B. L., den Hertog, D. & Hoffmann, A. L., 2013, In : Physics in Medicine and Biology. 58, 4, p. 1041-1058

Research output: Contribution to journalArticleScientificpeer-review

Catheters

Robust counterparts of inequalities containing sums of maxima of linear functions

Gorissen, B. L. & den Hertog, D., 2013, In : European Journal of Operational Research. 227, 1, p. 30-43

Research output: Contribution to journalArticleScientificpeer-review

Linear Function
Uncertainty
Reformulation
Inventory Management
Robust Optimization

Robust solutions of optimization problems affected by uncertain probabilities

Ben-Tal, A., den Hertog, D., De Waegenaere, A. M. B., Melenberg, B. & Rennen, G., 2013, In : Management Science. 59, 2, p. 341-357

Research output: Contribution to journalArticleScientificpeer-review

Uncertainty
Optimization problem
Divergence
Finance
Expected utility

Safe approximations of ambiguous chance constraints using historical data

Yanikoglu, I. & den Hertog, D., 2013, In : INFORMS Journal on Computing. 25, 4, p. 666-681

Research output: Contribution to journalArticleScientificpeer-review

Statistics
Approximation
Chance constraints
Uncertainty
Robust optimization
2012

Approximating the Pareto set of multiobjective linear programs via robust optimization

Gorissen, B. L. & den Hertog, D., 2012, In : Operations Research Letters. 40, 5, p. 319-324

Research output: Contribution to journalArticleScientificpeer-review

Pareto Set
Robust Optimization
Linear Program
Piecewise Linear Approximation
Polynomial

Feasibility of convex optimisation with radiobiological models for prostate HDR-brachytherapy

Steenbergen, F., den Hertog, D., Gorissen, B. L. & Hoffmann, A. L., 2012, In : Radiotherapy and Oncology. 103, p. S30-S31

Research output: Contribution to journalArticleScientificpeer-review

Mixed integer programming for dose and dose-volume based optimization in prostate HDR-brachytherapy

Gorissen, B. L., den Hertog, D. & Hoffmann, A. L., 2012, In : Radiotherapy and Oncology. 103, p. S130

Research output: Contribution to journalArticleScientificpeer-review

Modulation restrictions do not necessarily improve treatment plan quality for HDR prostate brachytherapy

Balvert, M., Gorissen, B. L., den Hertog, D. & Hoffmann, A. L., 2012, In : Radiotherapy and Oncology. 103, p. S142

Research output: Contribution to journalArticleScientificpeer-review

Safe dike heights at minimal costs: The nonhomogeneous case

Brekelmans, R. C. M., den Hertog, D., Roos, C. & Eijgenraam, C., 2012, In : Operations Research. 60, 6, p. 1342-1355

Research output: Contribution to journalArticleScientificpeer-review

Levees
Costs
Sea level
Nonlinear programming
Water levels
2011

A method for approximating univariate convex functions using only function value evaluations

Siem, A. Y. D., den Hertog, D. & Hoffmann, A. L., 2011, In : INFORMS Journal on Computing. 23, 4, p. 591-604

Research output: Contribution to journalArticleScientificpeer-review

Derivatives
Evaluation
Value function
Upper bound
Lower bounds

Enhancement of sandwich algorithms for approximating higher dimensional convex Pareto sets

Rennen, G., van Dam, E. R. & den Hertog, D., 2011, In : INFORMS Journal on Computing. 23, 4, p. 493-517

Research output: Contribution to journalArticleScientificpeer-review

Radiotherapy
Multiobjective optimization
Pareto
Approximation
Enhancement
344 Downloads (Pure)

Space-filling Latin hypercube designs for computer experiments

Husslage, B. G. M., Rennen, G., van Dam, E. R. & den Hertog, D., 2011, In : Optimization and Engineering. 12, 4, p. 611-630

Research output: Contribution to journalArticleScientificpeer-review

Open Access
File
Latin Hypercube Design
Computer Experiments
Maximin
Experiments
Stochastic Algorithms
2010
268 Downloads (Pure)

Nested maximin Latin hypercube designs

Rennen, G., Husslage, B. G. M., van Dam, E. R. & den Hertog, D., 2010, In : Structural and Multidisciplinary Optimization. 41, p. 371-395

Research output: Contribution to journalArticleScientificpeer-review

File
Latin Hypercube Design
Maximin
Nested Design
Grid
Computer Experiments
234 Downloads (Pure)

One-dimensional nested maximin designs

van Dam, E. R., Husslage, B. G. M. & den Hertog, D., 2010, In : Journal of Global Optimization. 46, 2, p. 287-306

Research output: Contribution to journalArticleScientificpeer-review

File
Maximin
Black Box
Nested Design
Nest
Design for All

On the importance of data balancing for symbolic regression

Vladislavleva, E., Smits, G. & den Hertog, D., 2010, In : IEEE Transactions on Evolutionary Computation. 14, 2, p. 252-277

Research output: Contribution to journalArticleScientificpeer-review

Symbolic Regression
Function evaluation
Balancing
Redundancy
Regression

Optimaliseren? Doe het robuust!

Brekelmans, R. C. M. & den Hertog, D., 2010, In : STAtOR. dec 2010, p. 24-27

Research output: Contribution to journalArticleProfessional

296 Downloads (Pure)

Solving the Battleship puzzle as an integer programming problem

Meuffels, W. J. M. & den Hertog, D., 2010, In : INFORMS Transactions on Education. 10, 3, p. 156-162

Research output: Contribution to journalArticleScientificpeer-review

File
2009

Order of nonlinearity as a complexity measure for models generated by symbolic regression via Pareto genetic programming

Vladislavleva, E., Smits, G. F. & den Hertog, D., 2009, In : IEEE Transactions on Evolutionary Computation. 13, 2, p. 333-349

Research output: Contribution to journalArticleScientificpeer-review

Symbolic Regression
Complexity Measure
Genetic programming
Genetic Programming
Pareto

Response surface methodology with stochastic constraints for expensive simulation

Angun, M. E., Kleijnen, J. P. C., den Hertog, D. & Gürkan, G., 2009, In : The Journal of the Operational Research Society. 60, 6, p. 735-746

Research output: Contribution to journalArticleScientificpeer-review

Software packages
Simulation
Heuristics
Response surface methodology
2008
355 Downloads (Pure)

Convex reformulation of biologically-based multi-crtiteria intensity-modulated radiation therapy optimization including fractionation effects

Hoffmann, A. L., Siem, A. Y. D., den Hertog, D., Kaanders, J. H. A. M. & Huizenga, H., 2008, In : Physics in Medicine and Biology. 53, p. 6345-6362

Research output: Contribution to journalArticleScientificpeer-review

Open Access
File

Discrete least-norm approximation by nonnegative (trigonometric) polynomials and rational functions

Siem, A. Y. D., de Klerk, E. & den Hertog, D., 2008, In : Structural and Multidisciplinary Optimization. 35, 4, p. 327-339

Research output: Contribution to journalArticleScientificpeer-review

243 Downloads (Pure)

Gradient estimation using Lagrange interpolation polynomials

Brekelmans, R. C. M., Driessen, L., Hamers, H. J. M. & den Hertog, D., 2008, In : Journal of Optimization Theory and Applications. 136, 3, p. 341-357

Research output: Contribution to journalArticleScientificpeer-review

File
Gradient Estimation
Lagrange Interpolation
Interpolation
Polynomials
Polynomial

On the complexity of optimization over the standard simplex

de Klerk, E., den Hertog, D. & Elfadul, G. E. E., 2008, In : European Journal of Operational Research. 191, p. 773-785

Research output: Contribution to journalArticleScientificpeer-review

Polynomials
Optimization
Computer science
Computational complexity
Interpolation