3.9 Article

The Hypervolume Newton Method for Constrained Multi-Objective Optimization Problems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Interdisciplinary Applications

Computing representations using hypervolume scalarizations

Luis Paquete et al.

Summary: In this article, the hypervolume indicator is utilized as a scalarizing function for biobjective combinatorial optimization problems. A generic solution approach is described to determine the nondominated set of such problems by solving a sequence of hypervolume scalarizations with appropriate choices of the reference point. This technique also provides a compact representation of the efficient set that is an approximation to the optimal representation in terms of the hypervolume.

COMPUTERS & OPERATIONS RESEARCH (2022)

Article Automation & Control Systems

TRACING LOCALLY PARETO-OPTIMAL POINTS BY NUMERICAL INTEGRATION

Matthias Bolten et al.

Summary: A novel approach is suggested for approximating the Pareto front of biobjective optimization problems by scalarizing the problem and tracing the front through numerical integration using an ODE. Error analysis based on Lipschitz properties and an explicit Runge-Kutta method are provided for numerical solution. The method is validated on convex quadratic programming and tested on a known biobjective function ZDT3 involving complex shape optimization problems.

SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2021)

Article Mathematics, Interdisciplinary Applications

Modeling and Optimizing the Multi-Objective Portfolio Optimization Problem with Trapezoidal Fuzzy Parameters

Alejandro Estrada-Padilla et al.

Summary: This study introduces a new optimization model based on fuzzy trapezoidal parameters to address uncertainty in MOPOP, and presents three novel steady-state algorithms. Comparison of different algorithms reveals a significant performance advantage for the steady-state algorithm based on the FAME methodology.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2021)

Article Mathematics, Interdisciplinary Applications

Chaotic Multi-Objective Simulated Annealing and Threshold Accepting for Job Shop Scheduling Problem

Juan Frausto-Solis et al.

Summary: This paper proposes two metaheuristics for Multi-Objective Job Shop Scheduling Problem based on Simulated Annealing, CMOSA and CMOTA, and compares them with other algorithms using the HV metric. The results show that CMOSA performs the best among all the algorithms analyzed.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2021)

Article Engineering, Multidisciplinary

Pareto Explorer: a global/local exploration tool for many-objective optimization problems

Oliver Schutze et al.

ENGINEERING OPTIMIZATION (2020)

Article Computer Science, Artificial Intelligence

A benchmark for equality constrained multi-objective optimization

Oliver Cuate et al.

SWARM AND EVOLUTIONARY COMPUTATION (2020)

Article Automation & Control Systems

The Set-Based Hypervolume Newton Method for Bi-Objective Optimization

Victor Adrian Sosa Hernandez et al.

IEEE TRANSACTIONS ON CYBERNETICS (2020)

Article Computer Science, Artificial Intelligence

A distance correlation-based Kriging modeling method for high-dimensional problems

Chongbo Fu et al.

KNOWLEDGE-BASED SYSTEMS (2020)

Article Mathematics, Interdisciplinary Applications

The Pareto Tracer for General Inequality Constrained Multi-Objective Optimization Problems

Fernanda Beltran et al.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2020)

Article Mathematics, Interdisciplinary Applications

Data-Driven Bayesian Network Learning: A Bi-Objective Approach to Address the Bias-Variance Decomposition

Vicente-Josue Aguilera-Rueda et al.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2020)

Article Multidisciplinary Sciences

Dataset on a Benchmark for Equality Constrained Multi-objective Optimization

Oliver Cuate et al.

DATA IN BRIEF (2020)

Review Computer Science, Artificial Intelligence

A review of automatic differentiation and its efficient implementation

Charles C. Margossian

WILEY INTERDISCIPLINARY REVIEWS-DATA MINING AND KNOWLEDGE DISCOVERY (2019)

Article Engineering, Multidisciplinary

Pareto Tracer: a predictor-corrector method for multi-objective optimization problems

Adanay Martin et al.

ENGINEERING OPTIMIZATION (2018)

Article Mathematics, Interdisciplinary Applications

A Weakly Pareto Compliant Quality Indicator

Emanuele Dilettoso et al.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2017)

Article Operations Research & Management Science

Optimal averaged Hausdorff archives for bi-objective problems: theoretical and numerical results

Guenter Rudolph et al.

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2016)

Article Engineering, Multidisciplinary

A scalar optimization approach for averaged Hausdorff approximations of the Pareto front

Oliver Schutze et al.

ENGINEERING OPTIMIZATION (2016)

Article Operations Research & Management Science

On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach

Benjamin Martin et al.

JOURNAL OF GLOBAL OPTIMIZATION (2016)

Proceedings Paper Computer Science, Artificial Intelligence

A Study on Performance Evaluation Ability of a Modified Inverted Generational Distance Indicator

Hisao Ishibuchi et al.

GECCO'15: PROCEEDINGS OF THE 2015 GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE (2015)

Article Management

Tri-criterion inverse portfolio optimization with application to socially responsible mutual funds

Sebastian Utz et al.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH (2014)

Article Computer Science, Artificial Intelligence

An Evolutionary Many-Objective Optimization Algorithm Using Reference-Point-Based Nondominated Sorting Approach, Part I: Solving Problems With Box Constraints

Kalyanmoy Deb et al.

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION (2014)

Article Computer Science, Artificial Intelligence

Using the Averaged Hausdorff Distance as a Performance Measure in Evolutionary Multiobjective Optimization

Oliver Schuetze et al.

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION (2012)

Article Computer Science, Artificial Intelligence

HypE: An Algorithm for Fast Hypervolume-Based Many-Objective Optimization

Johannes Bader et al.

EVOLUTIONARY COMPUTATION (2011)

Article Mathematics, Applied

NEWTON'S METHOD FOR MULTIOBJECTIVE OPTIMIZATION

J. Fliege et al.

SIAM JOURNAL ON OPTIMIZATION (2009)

Article Computer Science, Artificial Intelligence

MOEA/D: A multiobjective evolutionary algorithm based on decomposition

Qingfu Zhang et al.

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION (2007)

Article Management

SMS-EMOA: Multiobjective selection based on dominated hypervolume

Nicola Beume et al.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH (2007)

Article Operations Research & Management Science

Covering Pareto sets by multilevel subdivision techniques

M Dellnitz et al.

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2005)

Article Operations Research & Management Science

Gap-free computation of Pareto-points by quadratic scalarizations

J Fliege

MATHEMATICAL METHODS OF OPERATIONS RESEARCH (2004)

Review Computer Science, Artificial Intelligence

Performance assessment of multiobjective optimizers: An analysis and review

E Zitzler et al.

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION (2003)

Article Operations Research & Management Science

Unbiased approximation in multicriteria optimization

K Klamroth et al.

MATHEMATICAL METHODS OF OPERATIONS RESEARCH (2003)

Article Computer Science, Artificial Intelligence

A fast and elitist multiobjective genetic algorithm: NSGA-II

K Deb et al.

IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION (2002)