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Pareto front approximation with adaptive weighted sum method in multiobjective simulation optimization

Published: 13 December 2009 Publication History

Abstract

This work proposes a new method for approximating the Pareto front of a multi-objective simulation optimization problem (MOP) where the explicit forms of the objective functions are not available. The method iteratively approximates each objective function using a metamodeling scheme and employs a weighted sum method to convert the MOP into a set of single objective optimization problems. The weight on each single objective function is adaptively determined by accessing newly introduced points at the current iteration and the non-dominated points so far. A trust region algorithm is applied to the single objective problems to search for the points on the Pareto front. The numerical results show that the proposed algorithm efficiently generates evenly distributed points for various types of Pareto fronts.

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Cited By

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  • (2022)Algorithm 1028: VTMOP: Solver for Blackbox Multiobjective Optimization ProblemsACM Transactions on Mathematical Software10.1145/352925848:3(1-34)Online publication date: 10-Sep-2022
  • (2017)GDSProceedings of the 2017 ACM SIGSIM Conference on Principles of Advanced Discrete Simulation10.1145/3064911.3064917(185-196)Online publication date: 16-May-2017
  • (2017)A Radial Boundary Intersection aided interior point method for multi-objective optimizationInformation Sciences: an International Journal10.1016/j.ins.2016.09.062377:C(1-16)Online publication date: 20-Jan-2017
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  1. Pareto front approximation with adaptive weighted sum method in multiobjective simulation optimization

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      cover image ACM Conferences
      WSC '09: Winter Simulation Conference
      December 2009
      3211 pages
      ISBN:9781424457717

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      Winter Simulation Conference

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      Published: 13 December 2009

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      WSC09
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      WSC09: Winter Simulation Conference
      December 13 - 16, 2009
      Texas, Austin

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      WSC '09 Paper Acceptance Rate 137 of 256 submissions, 54%;
      Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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      View all
      • (2022)Algorithm 1028: VTMOP: Solver for Blackbox Multiobjective Optimization ProblemsACM Transactions on Mathematical Software10.1145/352925848:3(1-34)Online publication date: 10-Sep-2022
      • (2017)GDSProceedings of the 2017 ACM SIGSIM Conference on Principles of Advanced Discrete Simulation10.1145/3064911.3064917(185-196)Online publication date: 16-May-2017
      • (2017)A Radial Boundary Intersection aided interior point method for multi-objective optimizationInformation Sciences: an International Journal10.1016/j.ins.2016.09.062377:C(1-16)Online publication date: 20-Jan-2017
      • (2016)Knowledge Discovery for Pareto Based Multiobjective Optimization in SimulationProceedings of the 2016 ACM SIGSIM Conference on Principles of Advanced Discrete Simulation10.1145/2901378.2901380(35-46)Online publication date: 15-May-2016
      • (2015)Optimal sampling laws for bi-objective simulation optimization on finite setsProceedings of the 2015 Winter Simulation Conference10.5555/2888619.2889120(3749-3757)Online publication date: 6-Dec-2015
      • (2015)Multi-objective simulation optimization on finite setsProceedings of the 2015 Winter Simulation Conference10.5555/2888619.2889104(3610-3621)Online publication date: 6-Dec-2015
      • (2014)Multiobjective optimization using direct search techniquesProceedings of the High Performance Computing Symposium10.5555/2663510.2663528(1-8)Online publication date: 13-Apr-2014
      • (2013)Reinforcement Learning Method for Portfolio Optimal Frontier SearchProceedings of the 12th Mexican International Conference on Advances in Soft Computing and Its Applications - Volume 826610.1007/978-3-642-45111-9_22(245-255)Online publication date: 24-Nov-2013
      • (2011)A multicriteria simulation optimization method for injection moldingProceedings of the Winter Simulation Conference10.5555/2431518.2431805(2395-2407)Online publication date: 11-Dec-2011

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